From 367d4386ac8e836e429b3c2b0c790f827184f2a7 Mon Sep 17 00:00:00 2001 From: Guyot Date: Mon, 23 Dec 2019 21:18:29 +0100 Subject: [PATCH] =?UTF-8?q?Ann=C3=A9e=20de=20copyright=20automatique?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Annexe-ChuteLune/Annexe-ChuteLune.aux | 14 +- Annexe-Energies/Annexe-Energies.aux | 26 +- Annexe-Exercices/Annexe-Exercices.aux | 76 +- Annexe-Incertitudes/Annexe-Incertitudes.aux | 36 +- Annexe-MRUA/Annexe-MRUA.aux | 16 +- Annexe-Maree/Annexe-Maree.aux | 54 +- .../Annexe-MesuresDistances.aux | 26 +- Annexe-Relativite/Annexe-Relativite.aux | 20 +- Annexe-Rotations/Annexe-Rotations.aux | 18 +- Annexe-Satellites/Annexe-Satellites.aux | 16 +- .../Annexe-SystemeCoordonnees.aux | 24 +- .../Annexe-TravauxPratiques.aux | 84 +- .../Annexe-UnitesInternationales.aux | 34 +- Cinematique/Cinematique.aux | 128 +- CoursMecaniqueOSDF-gnuplottex-fig1.tex | 399 +- CoursMecaniqueOSDF-gnuplottex-fig2.tex | 106 +- CoursMecaniqueOSDF.aux | 5 +- CoursMecaniqueOSDF.dvi | Bin 1723804 -> 1724452 bytes CoursMecaniqueOSDF.ent | 256 +- CoursMecaniqueOSDF.idx | 92 +- CoursMecaniqueOSDF.lof | 340 +- CoursMecaniqueOSDF.log | 2155 +++++------ CoursMecaniqueOSDF.lot | 44 +- CoursMecaniqueOSDF.pdf | Bin 12638924 -> 12621586 bytes CoursMecaniqueOSDF.ps | 3326 +++++++++-------- CoursMecaniqueOSDF.toc | 842 ++--- Dynamique/Dynamique.aux | 94 +- Energie/Energie.aux | 90 +- EnergieOS/EnergieOS.aux | 70 +- Introduction/Introduction.aux | 102 +- Macros.aux | 2 + .../MecaniqueDifferentielle.aux | 44 +- MecaniqueDim/MecaniqueDim.aux | 102 +- PhysiqueTheorique/PhysiqueTheorique.aux | 26 +- Prefaces/Prefaces.aux | 2 + Prefaces/Prefaces.tex | 2 +- QtiteMvt/QtiteMvt.aux | 30 +- SolutionsOS.tex | 116 +- Thermodynamique/Thermodynamique.aux | 46 +- ThermodynamiqueOS/ThermodynamiqueOS.aux | 158 +- 40 files changed, 4437 insertions(+), 4584 deletions(-) diff --git a/Annexe-ChuteLune/Annexe-ChuteLune.aux 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zdYQh3CZn~V$S>VZ2aPUQq$(w#2=Ou9VQd+rO>5cYW9kc#M@o^&9pG4wOg#aPadtocE69{=FnR~IUB;xIrfZ#yE#vvH4D5mkQ#Sy6 zg7y=s?Q8np7&t};cDhR^8lv!Rq^TExkjL9n$979}l&RLk7;#QF7sYg+MAJLQmOE%e z7H*zo+60K-mSm#DIhbTh1qx5nrnKO}rc!5PT!3y)7{+pSsL2h0o2;AAKg0Ahtau9j z$&Z}KqG%v7S*8b!EmQTsSw6}#?Jyb#e{Kg^3%M|c!cdn3|Av}+IVQ;ML5Ad*J_*V? zYPf&X!JxqqDCOk*wQ=u^V}|o5PB`^4bZIRm1IL;Ia7l<#Vs>(e@9dw#f&s-Pm6fTj zi^%n3?*6#7=)rwKGo3nB{q6+Va&lwe%adCdk{amkZ%+E<$uK7m_(K12EiNf3N^6}> zs_t?{#?~2d{JR7gTl2})u_piGyn{)pec32Ka_hKH3<2@_mL)~0t+`pQ4`^e$m6rhY0Nq%!IM?Kla{BdO^R(JUz@FMVhCB&h zA)IPkfs4PfHJhBwH3h_G4H~gxthyA@IIVTmPhLY_Q-5~n>xV^-B&%o9#buHK<4g!= zEGl_-x)aX6$Ekbv3r?b0TuSROvMSHTH>Y)|@BZReCooMob%uXBEnc{+Jf*UAh}+4a zHS8Dqs|O#vEH1Wn@P`|>Pj~oGSqUEokvCvElvbWnI>yNjIq@6CYT1673PwZ)-bYnyveVB=zn?)@9G45kN-nyo75U||5I-))H=`~Q(AkG>(If_ zlPIS=d;(g7V+%>SzD-F{N^1~_onZ3I4%`)dVy`-=AZ}8tX<~lVCu$e*b4n{-?p~qc z(w(ycfQ@R;`uoSX`eeB`?^4&~e$R@6qVfXx+~b^2(n$U9b1RkRnxcJG{xa P6HEg=Mz1rTV}Je+K;6%( diff --git a/CoursMecaniqueOSDF.ent b/CoursMecaniqueOSDF.ent index edae06d..afc242a 100644 --- a/CoursMecaniqueOSDF.ent +++ b/CoursMecaniqueOSDF.ent @@ -1,4 +1,4 @@ -\@doanenote {2} +\@doanenote {1} macro:->Voir le site @@ -19,7 +19,7 @@ Remerciements la NASA. \@endanenote -\@doanenote {4} +\@doanenote {2} macro:->Voir le site @@ -39,7 +39,7 @@ Remerciements la NASA. \@endanenote -\@doanenote {5} +\@doanenote {3} macro:->Voir le site @@ -49,7 +49,7 @@ Wikipedia~: \url =http://en.wikipedia.org/wiki/Image:Giordano_Bruno.jpg= \@endanenote -\@doanenote {7} +\@doanenote {4} macro:->Voir le site @@ -59,7 +59,7 @@ wikipedia~: \url =http://commons.wikimedia.org/wiki/Image:Vie_du_soleil.jpg= \@endanenote -\@doanenote {9} +\@doanenote {5} macro:->Voir le site @@ -81,7 +81,7 @@ auteur Greg Goebel. \@endanenote -\@doanenote {11} +\@doanenote {6} macro:->Voir le site @@ -96,7 +96,7 @@ Remerciements la NASA. \@endanenote -\@doanenote {13} +\@doanenote {7} macro:->Voir le site @@ -110,6 +110,71 @@ Remerciements la NASA. \@endanenote +\@doanenote {8} +macro:->Voir +le +site +du +télescope +spatial +Hubble~: +ibid. +Remerciements +à +la +NASA. +\@endanenote +\@doanenote {9} +macro:->Voir~: +\extrasol +{} +\@endanenote +\@doanenote {10} +macro:->Voir +le +site +de +Hubble~: +\url +=http://hubblesite.org/newscenter/archive/releases/2005/03/image/a/= +\@endanenote +\@doanenote {11} +macro:->Voir +le +site +de +l'encyclopédie +wikipedia~: +\url +=http://fr.wikipedia.org/wiki/Image:Solar_sys.jpg= +Remerciements +à +la +NASA. +\@endanenote +\@doanenote {12} +macro:->Voir +le +site +de +l'encyclopédie~: +\planete +{} +Remerciements +à +la +NASA. +\@endanenote +\@doanenote {13} +macro:->voir~: +\url +=http://fr.wikipedia.org/wiki/Nuage_de_Oort= +\@endanenote +\@doanenote {14} +macro:->Voir +\url +=http://fr.wikipedia.org/wiki/Leonides= +\@endanenote \@doanenote {15} macro:->Voir le @@ -125,71 +190,6 @@ la NASA. \@endanenote \@doanenote {16} -macro:->Voir~: -\extrasol -{} -\@endanenote -\@doanenote {18} -macro:->Voir -le -site -de -Hubble~: -\url -=http://hubblesite.org/newscenter/archive/releases/2005/03/image/a/= -\@endanenote -\@doanenote {20} -macro:->Voir -le -site -de -l'encyclopédie -wikipedia~: -\url -=http://fr.wikipedia.org/wiki/Image:Solar_sys.jpg= -Remerciements -à -la -NASA. -\@endanenote -\@doanenote {22} -macro:->Voir -le -site -de -l'encyclopédie~: -\planete -{} -Remerciements -à -la -NASA. -\@endanenote -\@doanenote {23} -macro:->voir~: -\url -=http://fr.wikipedia.org/wiki/Nuage_de_Oort= -\@endanenote -\@doanenote {24} -macro:->Voir -\url -=http://fr.wikipedia.org/wiki/Leonides= -\@endanenote -\@doanenote {26} -macro:->Voir -le -site -du -télescope -spatial -Hubble~: -ibid. -Remerciements -à -la -NASA. -\@endanenote -\@doanenote {28} macro:->Voir le site @@ -199,7 +199,7 @@ wikipedia~: \url =http://commons.wikimedia.org/wiki/Image:Leonid_Meteor_Storm_1833.jpg= \@endanenote -\@doanenote {30} +\@doanenote {17} macro:->Voir le site @@ -213,7 +213,7 @@ Remerciements la NASA. \@endanenote -\@doanenote {32} +\@doanenote {18} macro:->Voir le site @@ -222,7 +222,7 @@ l'encyclopédie~: \url =http://commons.wikimedia.org/wiki/Image:TerreOrbiteLuneEtPhases.png= \@endanenote -\@doanenote {34} +\@doanenote {19} macro:->Voir le site @@ -232,7 +232,7 @@ Wikipedia~: \url =http://fr.wikipedia.org/wiki/Image:Orbite-lune-soleil.png= \@endanenote -\@doanenote {35} +\@doanenote {20} macro:->Voir aux sujet @@ -247,7 +247,7 @@ mécanique céleste~: http://www.imcce.fr/ \@endanenote -\@doanenote {37} +\@doanenote {21} macro:->Voir le site @@ -263,7 +263,7 @@ copyright de l'image. \@endanenote -\@doanenote {39} +\@doanenote {22} macro:->Voir le site @@ -287,7 +287,7 @@ Dang Ngoc Chan. \@endanenote -\@doanenote {41} +\@doanenote {23} macro:->Voir le site @@ -308,7 +308,7 @@ son auteur Pickwick. \@endanenote -\@doanenote {43} +\@doanenote {24} macro:->Voir le site @@ -324,12 +324,12 @@ copyright de l'image. \@endanenote -\@doanenote {44} +\@doanenote {25} macro:->Voir~: \url =http://cui.unige.ch/isi/ssc/phys/Rubbia-Klapisch.html= \@endanenote -\@doanenote {46} +\@doanenote {26} macro:->Voir le site @@ -345,14 +345,14 @@ copyright)~: \url =http://grin.hq.nasa.gov/ABSTRACTS/GPN-2002-000069.html= \@endanenote -\@doanenote {47} +\@doanenote {27} macro:->Les missions Apollo~: \url =http://perso.wanadoo.fr/alexandre.schwenk/index.htm= \@endanenote -\@doanenote {49} +\@doanenote {28} macro:->Voir le site @@ -367,12 +367,12 @@ copyright)~: \url =http://commons.wikimedia.org/wiki/Image:Andromeda_collision.jpg= \@endanenote -\@doanenote {50} +\@doanenote {29} macro:->Voir \url =http://fr.wikipedia.org/wiki/Image:Galilee.jpg= \@endanenote -\@doanenote {51} +\@doanenote {30} macro:->Mes plus vifs @@ -398,12 +398,12 @@ est~: \url |http://photos.aip.org/quickSearch.jsp?qsearch=Newton+isaac+H5&group=10&Submit=GO| \@endanenote -\@doanenote {52} +\@doanenote {31} macro:->Voir \url =http://fr.wikipedia.org/wiki/Image:Johannes_Kepler_1610.jpg= \@endanenote -\@doanenote {54} +\@doanenote {32} macro:->Voir le site @@ -418,22 +418,22 @@ copyright de l'image. \@endanenote -\@doanenote {55} +\@doanenote {33} macro:->Voir \aristote {} \@endanenote -\@doanenote {56} +\@doanenote {34} macro:->Voir \url =http://fr.wikipedia.org/wiki/Image:Aristotle_by_Raphael.jpg= \@endanenote -\@doanenote {57} +\@doanenote {35} macro:->Voir \url =http://en.wikipedia.org/wiki/Image:GodfreyKneller-IsaacNewton-1689.jpg= \@endanenote -\@doanenote {59} +\@doanenote {36} macro:->Voir le site @@ -449,13 +449,13 @@ copyright de l'image. \@endanenote -\@doanenote {60} +\@doanenote {37} macro:->Voir wikicommons~: \url {http://upload.wikimedia.org/wikipedia/commons/1/1b/Wikiman\_1m80.svg} \@endanenote -\@doanenote {62} +\@doanenote {38} macro:->Voir le site @@ -465,7 +465,7 @@ Wikipedia~: \url =http://commons.wikimedia.org/wiki/Image:Rollercoaster_Tornado_Avonturenpark_Hellendoorn_Netherlands.jpg= \@endanenote -\@doanenote {63} +\@doanenote {39} macro:->Une excellente analyse @@ -488,7 +488,7 @@ l'adresse \url {http://owl-ge.ch/IMG/pdf/choc_2D_avec_citation.pdf} \@endanenote -\@doanenote {65} +\@doanenote {40} macro:->Voir le site @@ -498,7 +498,7 @@ Wikipedia~: \url =http://commons.wikimedia.org/wiki/Image:Finowkanal-treidel.jpg= \@endanenote -\@doanenote {67} +\@doanenote {41} macro:->Voir le site @@ -508,14 +508,14 @@ Wikipedia~: \url =http://commons.wikimedia.org/wiki/Image:Mozaic-garden009.jpg= \@endanenote -\@doanenote {69} +\@doanenote {42} macro:->Voir le site~: \url =http://www.emosson-lac.ch/barrage.htm= \@endanenote -\@doanenote {71} +\@doanenote {43} macro:->Voir le site @@ -525,7 +525,7 @@ Wikipedia~: \url =http://fr.wikipedia.org/wiki/Image:S_vs_pelton_schnitt_1_zoom.png= \@endanenote -\@doanenote {73} +\@doanenote {44} macro:->Voir le site @@ -534,7 +534,7 @@ l'encyclopédie~: \url =http://fr.wikipedia.org/wiki/Image:Photoelectric_effect.png= \@endanenote -\@doanenote {75} +\@doanenote {45} macro:->Voir le site @@ -543,7 +543,7 @@ l'encyclopédie~: \url =http://fr.wikipedia.org/wiki/Image:4inch_poly_solar_cell.jpg= \@endanenote -\@doanenote {76} +\@doanenote {46} macro:->voir le site @@ -551,7 +551,7 @@ OutilsSolaires~: \url =http://www.outilssolaires.com/pv/prin-bilan.htm= \@endanenote -\@doanenote {77} +\@doanenote {47} macro:->voir aussi l'étude~: @@ -574,7 +574,7 @@ l'adresse~: \url =http://www.eupvplatform.org/fileadmin/Documents/Brochure-indicateurs_26_pays.pdf= \@endanenote -\@doanenote {79} +\@doanenote {48} macro:->Voir le site @@ -583,7 +583,7 @@ l'encyclopédie~: \url =http://fr.wikipedia.org/wiki/Image:Tableau-lindal.jpg= \@endanenote -\@doanenote {80} +\@doanenote {49} macro:->Voir le site @@ -592,7 +592,7 @@ l'encyclopédie~: \url =http://fr.wikipedia.org/wiki/Image:Boiling_nuclear_reactor.png= \@endanenote -\@doanenote {82} +\@doanenote {50} macro:->Voir le site @@ -601,28 +601,28 @@ l'encyclopédie~: \url =http://commons.wikimedia.org/wiki/Image:Combustion_methane.png= \@endanenote -\@doanenote {83} +\@doanenote {51} macro:->Voir Wikipedia : \url |https://fr.wikipedia.org/wiki/Principe_de_moindre_action| \@endanenote -\@doanenote {84} +\@doanenote {52} macro:->Voir Wikipedia : \url {https://fr.wikipedia.org/wiki/Principe_de_moindre_action_et_mécanique_classique} \@endanenote -\@doanenote {85} +\@doanenote {53} macro:->Voir Wikipedia : \url {https://fr.wikipedia.org/wiki/Principe_de_moindre_action_et_mécanique_classique} \@endanenote -\@doanenote {87} +\@doanenote {54} macro:->Voir le site @@ -647,12 +647,12 @@ pour le copyright. \@endanenote -\@doanenote {88} +\@doanenote {55} macro:->Voir \url =http://fr.wikipedia.org/wiki/Image:Sadi_Carnot.jpeg= \@endanenote -\@doanenote {89} +\@doanenote {56} macro:->Voir le site @@ -660,13 +660,13 @@ de l'encyclopédie~:\\ http://fr.wikipedia.org/wiki/Masse\_atomique \@endanenote -\@doanenote {91} +\@doanenote {57} macro:->Voir Wikipedia~: \url =http://fr.wikipedia.org/wiki/Fichier:4-Stroke-Engine.gif= \@endanenote -\@doanenote {93} +\@doanenote {58} macro:->Voir le site @@ -688,15 +688,15 @@ auteur Luc Viatour. \@endanenote -\@doanenote {94} +\@doanenote {59} macro:->\url =http://www.iap.fr/InformationCommunication/ArticlesGrandPublic/Etoiles/Transit/transit_parallaxe_mars_1672.html= \@endanenote -\@doanenote {95} +\@doanenote {60} macro:->\url =http://www.iap.fr/InformationCommunication/ArticlesGrandPublic/Etoiles/Transit/transit_parallaxe_mars_1672.html= \@endanenote -\@doanenote {97} +\@doanenote {61} macro:->Voir le site @@ -712,7 +712,7 @@ copyright de l'image. \@endanenote -\@doanenote {99} +\@doanenote {62} macro:->Voir le site @@ -731,14 +731,14 @@ Remerciements la NASA. \@endanenote -\@doanenote {100} +\@doanenote {63} macro:->Voir le site \url =http://www.dil.univ-mrs.fr/~gispert/enseignement/astronomie/5eme_partie/voieLactee.php= \@endanenote -\@doanenote {102} +\@doanenote {64} macro:->Voir le site @@ -748,7 +748,7 @@ Wikipedia~: \url =http://commons.wikimedia.org/wiki/Image:Galileo_Galilei\%2C_Discorsi_e_Dimostrazioni_Matematiche_Intorno_a_Due_Nuove_Scienze\%2C_1638_\%281400x1400\%29.png=. \@endanenote -\@doanenote {104} +\@doanenote {65} macro:->Voir le site @@ -768,7 +768,7 @@ Remerciements la NASA. \@endanenote -\@doanenote {106} +\@doanenote {66} macro:->Voir le site @@ -790,7 +790,7 @@ auteur Samuel Wantman. \@endanenote -\@doanenote {108} +\@doanenote {67} macro:->Voir le site @@ -806,7 +806,7 @@ copyright de l'image. \@endanenote -\@doanenote {109} +\@doanenote {68} macro:->Voir le site @@ -815,7 +815,7 @@ RhônEole~: \url =http://www.rhoneole.ch/= \@endanenote -\@doanenote {110} +\@doanenote {69} macro:->Voir le site @@ -824,7 +824,7 @@ Juvent~: \url =http://www.juvent.ch/= \@endanenote -\@doanenote {111} +\@doanenote {70} macro:->Voir les sites @@ -836,7 +836,7 @@ et \url =http://www.ader.ch/energieaufutur/energies/geothermie/index2.php= \@endanenote -\@doanenote {112} +\@doanenote {71} macro:->voir dépliant ``Nos @@ -850,7 +850,7 @@ site~: \url =http://www.cridor.ch/content/doc/brochures.php= \@endanenote -\@doanenote {113} +\@doanenote {72} macro:->Voir l'article complet diff --git a/CoursMecaniqueOSDF.idx b/CoursMecaniqueOSDF.idx index 833bfcf..7f35467 100644 --- a/CoursMecaniqueOSDF.idx +++ b/CoursMecaniqueOSDF.idx @@ -77,45 +77,45 @@ \indexentry{nuage@nuage!de Oort}{26} \indexentry{elliptique@elliptique}{26} \indexentry{orbite@orbite}{26} -\indexentry{orbite@orbite}{26} -\indexentry{etoile@\IeC {\'e}toile!filante}{26} -\indexentry{radian@radian}{26} -\indexentry{meteor@m\IeC {\'e}t\IeC {\'e}ore}{26} -\indexentry{Leonides@L\IeC {\'e}onides}{26} -\indexentry{comete@com\IeC {\`e}te}{26} -\indexentry{radian@radian}{26} -\indexentry{Terre@Terre}{26} -\indexentry{Lune@Lune}{26} -\indexentry{Soleil@Soleil}{26} -\indexentry{etoile@\IeC {\'e}toile}{26} -\indexentry{etoile@\IeC {\'E}toile!Polaire}{26} -\indexentry{Grande@Grande!Ourse}{26} -\indexentry{axe@axe!de rotation}{26} -\indexentry{saison@saison}{26} -\indexentry{annee@ann\IeC {\'e}e}{26} -\indexentry{orbite@orbite}{26} -\indexentry{ecliptique@\IeC {\'e}cliptique}{27} -\indexentry{ecliptique@\IeC {\'e}cliptique}{27} -\indexentry{hemisphere@h\IeC {\'e}misph\IeC {\`e}re}{27} +\indexentry{orbite@orbite}{27} +\indexentry{etoile@\IeC {\'e}toile!filante}{27} +\indexentry{radian@radian}{27} +\indexentry{meteor@m\IeC {\'e}t\IeC {\'e}ore}{27} +\indexentry{Leonides@L\IeC {\'e}onides}{27} +\indexentry{comete@com\IeC {\`e}te}{27} +\indexentry{radian@radian}{27} +\indexentry{Terre@Terre}{27} +\indexentry{Lune@Lune}{27} +\indexentry{Soleil@Soleil}{27} +\indexentry{etoile@\IeC {\'e}toile}{27} +\indexentry{etoile@\IeC {\'E}toile!Polaire}{27} +\indexentry{Grande@Grande!Ourse}{27} +\indexentry{axe@axe!de rotation}{27} \indexentry{saison@saison}{27} -\indexentry{toupie@toupie}{27} -\indexentry{perigee@p\IeC {\'e}rig\IeC {\'e}e}{27} -\indexentry{diametre@diam\IeC {\`e}tre!apparent}{27} -\indexentry{apogee@apog\IeC {\'e}e}{27} -\indexentry{eclipse@\IeC {\'e}clipse!annulaire}{28} -\indexentry{eclipse@\IeC {\'e}clipse!totale}{28} -\indexentry{phase@phase!lunaire}{28} -\indexentry{Lune@Lune!Noire}{28} -\indexentry{nouvelle@Nouvelle!Lune}{28} -\indexentry{quartier@quartier!lunaire}{28} -\indexentry{eclipse@\IeC {\'e}clipse!solaire}{28} -\indexentry{nouvelle@nouvelle!lune}{28} -\indexentry{eclipse@\IeC {\'e}clipse!lunaire}{28} -\indexentry{pleine@pleine!Lune}{28} +\indexentry{annee@ann\IeC {\'e}e}{27} +\indexentry{orbite@orbite}{27} \indexentry{ecliptique@\IeC {\'e}cliptique}{28} \indexentry{ecliptique@\IeC {\'e}cliptique}{28} -\indexentry{ligne@ligne des n\oe uds}{28} -\indexentry{saison@saison!d'\IeC {\'e}clipse}{29} +\indexentry{hemisphere@h\IeC {\'e}misph\IeC {\`e}re}{28} +\indexentry{saison@saison}{28} +\indexentry{toupie@toupie}{29} +\indexentry{perigee@p\IeC {\'e}rig\IeC {\'e}e}{29} +\indexentry{diametre@diam\IeC {\`e}tre!apparent}{29} +\indexentry{apogee@apog\IeC {\'e}e}{29} +\indexentry{eclipse@\IeC {\'e}clipse!annulaire}{29} +\indexentry{eclipse@\IeC {\'e}clipse!totale}{29} +\indexentry{phase@phase!lunaire}{30} +\indexentry{Lune@Lune!Noire}{30} +\indexentry{nouvelle@Nouvelle!Lune}{30} +\indexentry{quartier@quartier!lunaire}{30} +\indexentry{eclipse@\IeC {\'e}clipse!solaire}{30} +\indexentry{nouvelle@nouvelle!lune}{30} +\indexentry{eclipse@\IeC {\'e}clipse!lunaire}{30} +\indexentry{pleine@pleine!Lune}{30} +\indexentry{ecliptique@\IeC {\'e}cliptique}{30} +\indexentry{ecliptique@\IeC {\'e}cliptique}{30} +\indexentry{ligne@ligne des n\oe uds}{30} +\indexentry{saison@saison!d'\IeC {\'e}clipse}{30} \indexentry{subatomique@subatomique}{32} \indexentry{molecule@mol\IeC {\'e}cule}{32} \indexentry{atome@atome}{32} @@ -124,9 +124,9 @@ \indexentry{force@force!forte}{32} \indexentry{force@force!de gravitation}{32} \indexentry{atome@atome!naturel}{32} -\indexentry{proton@proton}{32} -\indexentry{electron@\IeC {\'e}lectron}{32} -\indexentry{neutron@neutron}{32} +\indexentry{proton@proton}{33} +\indexentry{electron@\IeC {\'e}lectron}{33} +\indexentry{neutron@neutron}{33} \indexentry{big@big!bang}{33} \indexentry{hydrogene@hydrog\IeC {\`e}ne}{33} \indexentry{deuterium@deut\IeC {\'e}rium}{33} @@ -147,12 +147,12 @@ \indexentry{atome@atome}{33} \indexentry{trajectoire@trajectoire}{33} \indexentry{particule@particule}{33} -\indexentry{onde@onde}{33} -\indexentry{particule@particule!\IeC {\'e}l\IeC {\'e}mentaire}{33} -\indexentry{electron@\IeC {\'e}lectron}{33} -\indexentry{proton@proton}{33} -\indexentry{neutron@neutron}{33} \indexentry{particule@particule!\IeC {\'e}l\IeC {\'e}mentaire}{34} +\indexentry{onde@onde}{34} +\indexentry{particule@particule!\IeC {\'e}l\IeC {\'e}mentaire}{34} +\indexentry{electron@\IeC {\'e}lectron}{34} +\indexentry{proton@proton}{34} +\indexentry{neutron@neutron}{34} \indexentry{principe@principe!d'ind\IeC {\'e}termination}{34} \indexentry{principe@principe!d'incertitude}{34} \indexentry{Heisenberg@Heisenberg}{35} @@ -171,7 +171,7 @@ \indexentry{nucleon@nucl\IeC {\'e}on}{35} \indexentry{neutrino@neutrino!\IeC {\'e}lectronique}{35} \indexentry{interaction@interaction!fondamentale}{35} -\indexentry{graviton@graviton}{35} +\indexentry{graviton@graviton}{36} \indexentry{antimatiere@antimati\IeC {\`e}re}{36} \indexentry{positron@positron}{36} \indexentry{mecanique@m\IeC {\'e}canique}{36} @@ -1163,7 +1163,7 @@ \indexentry{pale}{209} \indexentry{barrage}{209} \indexentry{geothermie@g\IeC {\'e}othermie}{209} -\indexentry{forage}{210} +\indexentry{forage}{209} \indexentry{energie@\IeC {\'e}nergie!de combustion!des d\IeC {\'e}chets}{210} \indexentry{barrage}{210} \indexentry{Alpha du Centaure}{211} diff --git a/CoursMecaniqueOSDF.lof b/CoursMecaniqueOSDF.lof index ff5441d..8e917bf 100644 --- a/CoursMecaniqueOSDF.lof +++ b/CoursMecaniqueOSDF.lof @@ -1,194 +1,194 @@ -\select@language {french} +\babel@toc {french}{} \addvspace {10\p@ } -\contentsline {figure}{\numberline {1.1}{\ignorespaces L'univers profond}}{22} -\contentsline {figure}{\numberline {1.2}{\ignorespaces Mod\IeC {\`e}les de courbure}}{22} -\contentsline {figure}{\numberline {1.3}{\ignorespaces L'\IeC {\'e}volution du Soleil}}{23} -\contentsline {figure}{\numberline {1.4}{\ignorespaces Groupe local}}{24} -\contentsline {figure}{\numberline {1.5}{\ignorespaces Galaxie du Sombrero}}{24} -\contentsline {figure}{\numberline {1.6}{\ignorespaces Interaction de deux galaxies}}{25} -\contentsline {figure}{\numberline {1.7}{\ignorespaces N\IeC {\'e}buleuse plan\IeC {\'e}taire}}{25} -\contentsline {figure}{\numberline {1.8}{\ignorespaces Premi\IeC {\`e}re exoplan\IeC {\`e}te}}{25} -\contentsline {figure}{\numberline {1.9}{\ignorespaces Syst\IeC {\`e}me solaire}}{27} -\contentsline {figure}{\numberline {1.10}{\ignorespaces La taille des plan\IeC {\`e}tes}}{28} -\contentsline {figure}{\numberline {1.11}{\ignorespaces La taille des plan\IeC {\`e}tes}}{29} -\contentsline {figure}{\numberline {1.12}{\ignorespaces Une com\IeC 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212) - defining Unicode char U+00D5 (decimal 213) - defining Unicode char U+00D6 (decimal 214) - defining Unicode char U+00D8 (decimal 216) - defining Unicode char U+00D9 (decimal 217) - defining Unicode char U+00DA (decimal 218) - defining Unicode char U+00DB (decimal 219) - defining Unicode char U+00DC (decimal 220) - defining Unicode char U+00DD (decimal 221) - defining Unicode char U+00DE (decimal 222) - defining Unicode char U+00DF (decimal 223) - defining Unicode char U+00E0 (decimal 224) - defining Unicode char U+00E1 (decimal 225) - defining Unicode char U+00E2 (decimal 226) - defining Unicode char U+00E3 (decimal 227) - defining Unicode char U+00E4 (decimal 228) - defining Unicode char U+00E5 (decimal 229) - defining Unicode char U+00E6 (decimal 230) - defining Unicode char U+00E7 (decimal 231) - defining Unicode char U+00E8 (decimal 232) - defining Unicode char U+00E9 (decimal 233) - defining Unicode char U+00EA (decimal 234) - defining Unicode char U+00EB (decimal 235) - defining Unicode char U+00EC (decimal 236) - defining Unicode char U+00ED (decimal 237) - defining Unicode char U+00EE (decimal 238) - defining Unicode char U+00EF (decimal 239) - defining Unicode char U+00F0 (decimal 240) - defining Unicode char U+00F1 (decimal 241) - defining Unicode char U+00F2 (decimal 242) - defining Unicode char U+00F3 (decimal 243) - defining Unicode char U+00F4 (decimal 244) - defining Unicode char U+00F5 (decimal 245) - defining Unicode char U+00F6 (decimal 246) - defining Unicode char U+00F8 (decimal 248) - defining Unicode char U+00F9 (decimal 249) - defining Unicode char U+00FA (decimal 250) - defining Unicode char U+00FB (decimal 251) - defining Unicode char U+00FC (decimal 252) - defining Unicode char U+00FD (decimal 253) - defining Unicode char U+00FE (decimal 254) - defining Unicode char U+00FF (decimal 255) - defining Unicode char U+0100 (decimal 256) - defining Unicode char U+0101 (decimal 257) - defining Unicode char U+0102 (decimal 258) - defining Unicode char U+0103 (decimal 259) - defining Unicode char U+0104 (decimal 260) - defining Unicode char U+0105 (decimal 261) - defining Unicode char U+0106 (decimal 262) - defining Unicode char U+0107 (decimal 263) - defining Unicode char U+0108 (decimal 264) - defining Unicode char U+0109 (decimal 265) - defining Unicode char U+010A (decimal 266) - defining Unicode char U+010B (decimal 267) - defining Unicode char U+010C (decimal 268) - defining Unicode char U+010D (decimal 269) - defining Unicode char U+010E (decimal 270) - defining Unicode char U+010F (decimal 271) - defining Unicode char U+0110 (decimal 272) - defining Unicode char U+0111 (decimal 273) - defining Unicode char U+0112 (decimal 274) - defining Unicode char U+0113 (decimal 275) - defining Unicode char U+0114 (decimal 276) - defining Unicode char U+0115 (decimal 277) - defining Unicode char U+0116 (decimal 278) - defining Unicode char U+0117 (decimal 279) - defining Unicode char U+0118 (decimal 280) - defining Unicode char U+0119 (decimal 281) - defining Unicode char U+011A (decimal 282) - defining Unicode char U+011B (decimal 283) - defining Unicode char U+011C (decimal 284) - defining Unicode char U+011D (decimal 285) - defining Unicode char U+011E (decimal 286) - defining Unicode char U+011F (decimal 287) - defining Unicode char U+0120 (decimal 288) - defining Unicode char U+0121 (decimal 289) - defining Unicode char U+0122 (decimal 290) - defining Unicode char U+0123 (decimal 291) - defining Unicode char U+0124 (decimal 292) - defining Unicode char U+0125 (decimal 293) - defining Unicode char U+0128 (decimal 296) - defining Unicode char U+0129 (decimal 297) - defining Unicode char U+012A (decimal 298) - defining Unicode char U+012B (decimal 299) - defining Unicode char U+012C (decimal 300) - defining Unicode char U+012D (decimal 301) - defining Unicode char U+012E (decimal 302) - defining Unicode char U+012F (decimal 303) - defining Unicode char U+0130 (decimal 304) - defining Unicode char U+0131 (decimal 305) - defining Unicode char U+0132 (decimal 306) - defining Unicode char U+0133 (decimal 307) - defining Unicode char U+0134 (decimal 308) - defining Unicode char U+0135 (decimal 309) - defining Unicode char U+0136 (decimal 310) - defining Unicode char U+0137 (decimal 311) - defining Unicode char U+0139 (decimal 313) - defining Unicode char U+013A (decimal 314) - defining Unicode char U+013B (decimal 315) - defining Unicode char U+013C (decimal 316) - defining Unicode char U+013D (decimal 317) - defining Unicode char U+013E (decimal 318) - defining Unicode char U+0141 (decimal 321) - defining Unicode char U+0142 (decimal 322) - defining Unicode char U+0143 (decimal 323) - defining Unicode char U+0144 (decimal 324) - defining Unicode char U+0145 (decimal 325) - defining Unicode char U+0146 (decimal 326) - defining Unicode char U+0147 (decimal 327) - defining Unicode char U+0148 (decimal 328) - defining Unicode char U+014A (decimal 330) - defining Unicode char U+014B (decimal 331) - defining Unicode char U+014C (decimal 332) - defining Unicode char U+014D (decimal 333) - defining Unicode char U+014E (decimal 334) - defining Unicode char U+014F (decimal 335) - defining Unicode char U+0150 (decimal 336) - defining Unicode char U+0151 (decimal 337) - defining Unicode char U+0152 (decimal 338) - defining Unicode char U+0153 (decimal 339) - defining Unicode char U+0154 (decimal 340) - defining Unicode char U+0155 (decimal 341) - defining Unicode char U+0156 (decimal 342) - defining Unicode char U+0157 (decimal 343) - defining Unicode char U+0158 (decimal 344) - defining Unicode char U+0159 (decimal 345) - defining Unicode char U+015A (decimal 346) - defining Unicode char U+015B (decimal 347) - defining Unicode char U+015C (decimal 348) - defining Unicode char U+015D (decimal 349) - defining Unicode char U+015E (decimal 350) - defining Unicode char U+015F (decimal 351) - defining Unicode char U+0160 (decimal 352) - defining Unicode char U+0161 (decimal 353) - defining Unicode char U+0162 (decimal 354) - defining Unicode char U+0163 (decimal 355) - defining Unicode char U+0164 (decimal 356) - defining Unicode char U+0165 (decimal 357) - defining Unicode char U+0168 (decimal 360) - defining Unicode char U+0169 (decimal 361) - defining Unicode char U+016A (decimal 362) - defining Unicode char U+016B (decimal 363) - defining Unicode char U+016C (decimal 364) - defining Unicode char U+016D (decimal 365) - defining Unicode char U+016E (decimal 366) - defining Unicode char U+016F (decimal 367) - defining Unicode char U+0170 (decimal 368) - defining Unicode char U+0171 (decimal 369) - defining Unicode char U+0172 (decimal 370) - defining Unicode char U+0173 (decimal 371) - defining Unicode char U+0174 (decimal 372) - defining Unicode char U+0175 (decimal 373) - defining Unicode char U+0176 (decimal 374) - defining Unicode char U+0177 (decimal 375) - defining Unicode char U+0178 (decimal 376) - defining Unicode char U+0179 (decimal 377) - defining Unicode char U+017A (decimal 378) - defining Unicode char U+017B (decimal 379) - defining Unicode char U+017C (decimal 380) - defining Unicode char U+017D (decimal 381) - defining Unicode char U+017E (decimal 382) - defining Unicode char U+01CD (decimal 461) - defining Unicode char U+01CE (decimal 462) - defining Unicode char U+01CF (decimal 463) - defining Unicode char U+01D0 (decimal 464) - defining Unicode char U+01D1 (decimal 465) - defining Unicode char U+01D2 (decimal 466) - defining Unicode char U+01D3 (decimal 467) - defining Unicode char U+01D4 (decimal 468) - defining Unicode char U+01E2 (decimal 482) - defining Unicode char U+01E3 (decimal 483) - defining Unicode char U+01E6 (decimal 486) - defining Unicode char U+01E7 (decimal 487) - defining Unicode char U+01E8 (decimal 488) - defining Unicode char U+01E9 (decimal 489) - defining Unicode char U+01EA (decimal 490) - defining Unicode char U+01EB (decimal 491) - defining Unicode char U+01F0 (decimal 496) - defining Unicode char U+01F4 (decimal 500) - defining Unicode char U+01F5 (decimal 501) - defining Unicode char U+0218 (decimal 536) - defining Unicode char U+0219 (decimal 537) - defining Unicode char U+021A (decimal 538) - defining Unicode char U+021B (decimal 539) - defining Unicode char U+0232 (decimal 562) - defining Unicode char U+0233 (decimal 563) - defining Unicode char U+1E02 (decimal 7682) - defining Unicode char U+1E03 (decimal 7683) - defining Unicode char U+200C (decimal 8204) - defining Unicode char U+2010 (decimal 8208) - defining Unicode char U+2011 (decimal 8209) - defining Unicode char U+2012 (decimal 8210) - defining Unicode char U+2013 (decimal 8211) - defining Unicode char U+2014 (decimal 8212) - defining Unicode char U+2015 (decimal 8213) - defining Unicode char U+2018 (decimal 8216) - defining Unicode char U+2019 (decimal 8217) - defining Unicode char U+201A (decimal 8218) - defining Unicode char U+201C (decimal 8220) - defining Unicode char U+201D (decimal 8221) - defining Unicode char U+201E (decimal 8222) - defining Unicode char U+2030 (decimal 8240) - defining Unicode char U+2031 (decimal 8241) - defining Unicode char U+2039 (decimal 8249) - defining Unicode char U+203A (decimal 8250) - defining Unicode char U+2423 (decimal 9251) - defining Unicode char U+1E20 (decimal 7712) - defining Unicode char U+1E21 (decimal 7713) ) -Now handling font encoding OT1 ... -... processing UTF-8 mapping file for font encoding OT1 - -(/usr/share/texlive/texmf-dist/tex/latex/base/ot1enc.dfu -File: ot1enc.dfu 2017/01/28 v1.1t UTF-8 support for inputenc - defining Unicode char U+00A0 (decimal 160) - defining Unicode char U+00A1 (decimal 161) - defining Unicode char U+00A3 (decimal 163) - defining Unicode char U+00AD (decimal 173) - defining Unicode char U+00B8 (decimal 184) - defining Unicode char U+00BF (decimal 191) - defining Unicode char U+00C5 (decimal 197) - defining Unicode char U+00C6 (decimal 198) - defining Unicode char U+00D8 (decimal 216) - defining Unicode char U+00DF (decimal 223) - defining Unicode char U+00E6 (decimal 230) - defining Unicode char U+00EC (decimal 236) - defining Unicode char U+00ED (decimal 237) - defining Unicode char U+00EE (decimal 238) - defining Unicode char U+00EF (decimal 239) - defining Unicode char U+00F8 (decimal 248) - defining Unicode char U+0131 (decimal 305) - defining Unicode char U+0141 (decimal 321) - defining Unicode char U+0142 (decimal 322) - defining Unicode char U+0152 (decimal 338) - defining Unicode char U+0153 (decimal 339) - defining Unicode char U+0174 (decimal 372) - defining Unicode char U+0175 (decimal 373) - defining Unicode char U+0176 (decimal 374) - defining Unicode char U+0177 (decimal 375) - defining Unicode char U+0218 (decimal 536) - defining Unicode char U+0219 (decimal 537) - defining Unicode char U+021A (decimal 538) - defining Unicode char U+021B (decimal 539) - defining Unicode char U+2013 (decimal 8211) - defining Unicode char U+2014 (decimal 8212) - defining Unicode char U+2018 (decimal 8216) - defining Unicode char U+2019 (decimal 8217) - defining Unicode char U+201C (decimal 8220) - defining Unicode char U+201D (decimal 8221) -) -Now handling font encoding OMS ... -... processing UTF-8 mapping file for font encoding OMS - -(/usr/share/texlive/texmf-dist/tex/latex/base/omsenc.dfu -File: omsenc.dfu 2017/01/28 v1.1t UTF-8 support for inputenc - defining Unicode char U+00A7 (decimal 167) - defining Unicode char U+00B6 (decimal 182) - defining Unicode char U+00B7 (decimal 183) - defining Unicode char U+2020 (decimal 8224) - defining Unicode char U+2021 (decimal 8225) - defining Unicode char U+2022 (decimal 8226) -) -Now handling font encoding OMX ... -... no UTF-8 mapping file for font encoding OMX -Now handling font encoding U ... -... no UTF-8 mapping file for font encoding U - defining Unicode char U+00A9 (decimal 169) - defining Unicode char U+00AA (decimal 170) - defining Unicode char U+00AE (decimal 174) - defining Unicode char U+00BA (decimal 186) - defining Unicode char U+02C6 (decimal 710) - defining Unicode char U+02DC (decimal 732) - defining Unicode char U+200C (decimal 8204) - defining Unicode char U+2026 (decimal 8230) - defining Unicode char U+2122 (decimal 8482) - defining Unicode char U+2423 (decimal 9251) -)) (/usr/share/texlive/texmf-dist/tex/latex/natbib/natbib.sty Package: natbib 2010/09/13 8.31b (PWD, AO) \bibhang=\skip43 \bibsep=\skip44 LaTeX Info: Redefining \cite on input line 694. -\c@NAT@ctr=\count89 +\c@NAT@ctr=\count90 ) (/usr/share/texlive/texmf-dist/tex/generic/babel/babel.sty -Package: babel 2016/04/23 3.9r The Babel package +Package: babel 2018/11/13 3.27 The Babel package +(/usr/share/texlive/texmf-dist/tex/generic/babel/switch.def +File: switch.def 2018/11/13 3.27 Babel switching mechanism +) (/usr/share/texlive/texmf-dist/tex/generic/babel-english/english.ldf -Language: english 2012/08/20 v3.3p English support from the babel system +Language: english 2017/06/06 v3.3r English support from the 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+\dec@mcc=\count99 +\c@FBcaption@count=\count100 +\listindentFB=\dimen105 +\descindentFB=\dimen106 +\labelindentFB=\dimen107 +\labelwidthFB=\dimen108 +\leftmarginFB=\dimen109 +\parindentFFN=\dimen110 +\FBfnindent=\dimen111 ) -(/usr/share/texlive/texmf-dist/tex/generic/babel-french/frenchb.ldf -Language: frenchb 2017/01/15 v3.2f French support from the babel system +(/usr/share/texlive/texmf-dist/tex/generic/babel-french/french.ldf +Language: french 2019/01/30 v3.5d French support from the babel system )) (/usr/share/texlive/texmf-dist/tex/latex/carlisle/scalefnt.sty) (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty @@ -455,15 +145,15 @@ Package: makeidx 2014/09/29 v1.0m Standard LaTeX package Writing index file CoursMecaniqueOSDF.idx (/usr/share/texlive/texmf-dist/tex/generic/path/path.sty This is path.sty, Version 3.05 <7-Apr-2011> -\c@tcode=\count98 -\c@unter=\count99 +\c@tcode=\count101 +\c@unter=\count102 ) (/usr/share/texlive/texmf-dist/tex/latex/fancybox/fancybox.sty Package: fancybox 2010/05/15 1.4 Style option: `fancybox' v1.4 <2010/05/15> (tvz) -\@fancybox=\box26 -\shadowsize=\dimen106 -\@Sbox=\box27 +\@fancybox=\box27 +\shadowsize=\dimen112 +\@Sbox=\box28 \do@VerbBox=\toks18 \the@fancyput=\toks19 \this@fancyput=\toks20 @@ -472,11 +162,11 @@ Style option: `fancybox' v1.4 <2010/05/15> (tvz) \Verbatim@Infile=\read1 ) (/usr/share/texlive/texmf-dist/tex/latex/framed/framed.sty Package: framed 2011/10/22 v 0.96: framed or shaded text with page breaks -\OuterFrameSep=\skip53 -\fb@frw=\dimen107 -\fb@frh=\dimen108 -\FrameRule=\dimen109 -\FrameSep=\dimen110 +\OuterFrameSep=\skip45 +\fb@frw=\dimen113 +\fb@frh=\dimen114 +\FrameRule=\dimen115 +\FrameSep=\dimen116 ) (/usr/share/texlive/texmf-dist/tex/latex/graphics/color.sty Package: color 2016/07/10 v1.1e Standard LaTeX Color (DPC) @@ -487,15 +177,23 @@ File: color.cfg 2016/01/02 v1.6 sample color configuration Package color Info: Driver file: dvips.def on input line 147. (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvips.def -File: dvips.def 2016/07/10 v3.1a Driver-dependent file (DPC,SPQR) +File: dvips.def 2017/06/20 v3.1d Graphics/color driver for dvips ) (/usr/share/texlive/texmf-dist/tex/latex/graphics/dvipsnam.def File: dvipsnam.def 2016/06/17 v3.0m Driver-dependent file (DPC,SPQR) )) (/usr/share/texlive/texmf-dist/tex/latex/pst-grad/pst-grad.sty (/usr/share/texlive/texmf-dist/tex/latex/pstricks/pstricks.sty -Package: pstricks 2015/11/14 v0.62 LaTeX wrapper for `PSTricks' (RN,HV) +Package: pstricks 2018/12/21 v0.69 LaTeX wrapper for `PSTricks' (RN,HV) +(/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty +Package: iftex 2013/04/04 v0.2 Provides if(tex) conditional for PDFTeX, XeTeX, +and LuaTeX +) +(/usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty +Package: shellesc 2016/06/07 v0.02a unified shell escape interface for LaTeX +Package shellesc Info: Unrestricted shell escape enabled on input line 67. +) (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK) @@ -513,7 +211,6 @@ Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369. 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+\pstFP@rega=\count109 +\pstFP@regb=\count110 +\pstFP@regs=\count111 +\pstFP@times=\count112 ) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex \pgfutil@everybye=\toks24 -\pgfutil@tempdima=\dimen111 -\pgfutil@tempdimb=\dimen112 +\pgfutil@tempdima=\dimen117 +\pgfutil@tempdimb=\dimen118 (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.t ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex @@ -554,28 +252,29 @@ ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex ex \pgfkeys@tmptoks=\toks27 )) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +Loading pgffor.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex -\pgf@x=\dimen113 -\pgf@xa=\dimen114 -\pgf@xb=\dimen115 -\pgf@xc=\dimen116 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File: ./Annexe-MRUA/Images/Discorsi_e_Dimostrazioni_Matematiche.eps Graphic fil e (type eps) <./Annexe-MRUA/Images/Discorsi_e_Dimostrazioni_Matematiche.eps> [189 @@ -3298,6 +3011,10 @@ e (type eps) (./Annexe-ChuteLune/Annexe-ChuteLune.tex Annexe G. +Package lettrine.sty Info: Targeted height = 17.26949pt +(lettrine.sty) (no accent, loversize=0), +(lettrine.sty) Lettrine height = 17.26955pt (L); +(lettrine.sty) reported on input line 7. (./Annexe-ChuteLune/Images/SchemaChuteLune.tex) Underfull \vbox (badness 10000) has occurred while \output is active [] @@ -3312,6 +3029,10 @@ Underfull \vbox (badness 10000) has occurred while \output is active [] (./Annexe-Satellites/Annexe-Satellites.tex Annexe H. +Package lettrine.sty Info: Targeted height = 17.26949pt +(lettrine.sty) (no accent, loversize=0), +(lettrine.sty) Lettrine height = 17.26955pt (U); +(lettrine.sty) reported on input line 7. 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File: ./Annexe-Maree/Images/Maree.eps Graphic file (type eps) <./Annexe-Maree/Images/Maree.eps> Underfull \vbox (badness 2744) has occurred while \output is active [] @@ -3411,6 +3140,10 @@ Underfull \vbox (badness 3108) has occurred while \output is active [] ] Annexe K. +Package lettrine.sty Info: Targeted height = 17.26949pt +(lettrine.sty) (no accent, loversize=0), +(lettrine.sty) Lettrine height = 17.26955pt (C); +(lettrine.sty) reported on input line 5. File: ./Annexe-Energies/Images/Chatelot.eps Graphic file (type eps) <./Annexe-Energies/Images/Chatelot.eps> Underfull \hbox (badness 1067) in paragraph at lines 34--35 @@ -3432,6 +3165,10 @@ Underfull \hbox (badness 3724) in paragraph at lines 135--135 (./Annexe-Exercices/Annexe-Exercices.tex Annexe L. +Package lettrine.sty Info: Targeted height = 17.26949pt +(lettrine.sty) (no accent, loversize=0), +(lettrine.sty) Lettrine height = 17.26955pt (D); +(lettrine.sty) reported on input line 33. Output from handle ans going to Solutions.tex \ans@file=\write14 \openout14 = `Solutions.tex'. @@ -3441,7 +3178,7 @@ Output from handle ansos going to SolutionsOS.tex \openout15 = `SolutionsOS.tex'. -Underfull \hbox (badness 1137) in paragraph at lines 54--69 +Underfull \hbox (badness 1142) in paragraph at lines 54--69 []\T1/lmr/m/n/10 , en [] et en AL ? Entre nous et l'étoile [] @@ -3598,6 +3335,10 @@ e.eps_tex File: ./Annexe-Exercices/Images/incline.eps Graphic file (type eps) <./Annexe-Exercices/Images/incline.eps>) [237] [238] +Overfull \hbox (6.04695pt too wide) detected at line 262 +[] + [] + (./Annexe-Exercices/Images/cordepoulie.eps_tex File: ./Annexe-Exercices/Images/cordepoulie.eps Graphic file (type eps) @@ -3677,8 +3418,8 @@ Package gnuplottex Info: CoursMecaniqueOSDF-gnuplottex-fig2.gnuplot converted o n input line 175. (./CoursMecaniqueOSDF-gnuplottex-fig2.tex) [249] [250] -Overfull \hbox (13.96065pt too wide) in paragraph at lines 284--284 -[] +Overfull \hbox (13.96065pt too wide) detected at line 284 +[] [] [251] [252] @@ -4069,12 +3810,12 @@ LaTeX Warning: There were undefined references. ) Here is how much of TeX's memory you used: - 34322 strings out of 494830 - 648940 string characters out of 6176634 - 728515 words of memory out of 5000000 - 36487 multiletter control sequences out of 15000+600000 - 150107 words of font info for 111 fonts, out of 8000000 for 9000 - 36 hyphenation exceptions out of 8191 - 56i,29n,92p,10526b,1509s stack positions out of 5000i,500n,10000p,200000b,80000s + 37170 strings out of 494419 + 701934 string characters out of 6173614 + 796313 words of memory out of 5000000 + 39688 multiletter control sequences out of 15000+600000 + 678805 words of font info for 121 fonts, out of 8000000 for 9000 + 81 hyphenation exceptions out of 8191 + 56i,29n,92p,2874b,1543s stack positions out of 5000i,500n,10000p,200000b,80000s -Output written on CoursMecaniqueOSDF.dvi (268 pages, 1723804 bytes). +Output written on CoursMecaniqueOSDF.dvi (268 pages, 1724452 bytes). diff --git a/CoursMecaniqueOSDF.lot b/CoursMecaniqueOSDF.lot index e49fd59..6167ef6 100644 --- a/CoursMecaniqueOSDF.lot +++ b/CoursMecaniqueOSDF.lot @@ -1,10 +1,10 @@ -\select@language {french} +\babel@toc {french}{} \addvspace {10\p@ } -\contentsline {table}{\numberline {1.1}{\ignorespaces Tableau des particules \IeC {\'e}l\IeC {\'e}mentaires}}{34} +\contentsline {table}{\numberline {1.1}{\ignorespaces Tableau des particules \IeC {\'e}l\IeC {\'e}mentaires}}{34}% \addvspace {10\p@ } -\contentsline {table}{\numberline {2.1}{\ignorespaces Donn\IeC {\'e}es de la mission Apollo 12\relax }}{40} -\contentsline {table}{\numberline {2.2}{\ignorespaces La hauteur en fonction du temps\relax }}{42} -\contentsline {table}{\numberline {2.3}{\ignorespaces La vitesse en fonction du temps\relax }}{43} +\contentsline {table}{\numberline {2.1}{\ignorespaces Donn\IeC {\'e}es de la mission Apollo 12\relax }}{40}% +\contentsline {table}{\numberline {2.2}{\ignorespaces La hauteur en fonction du temps\relax }}{42}% +\contentsline {table}{\numberline {2.3}{\ignorespaces La vitesse en fonction du temps\relax }}{43}% \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } @@ -13,25 +13,25 @@ \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } -\contentsline {table}{\numberline {10.1}{\ignorespaces C\oe fficient de dilatation lin\IeC {\'e}aire\relax }}{135} -\contentsline {table}{\numberline {10.2}{\ignorespaces Chaleur sp\IeC {\'e}cifique\relax }}{135} -\contentsline {table}{\numberline {10.3}{\ignorespaces Chaleur latente\relax }}{136} +\contentsline {table}{\numberline {10.1}{\ignorespaces C\oe fficient de dilatation lin\IeC {\'e}aire\relax }}{135}% +\contentsline {table}{\numberline {10.2}{\ignorespaces Chaleur sp\IeC {\'e}cifique\relax }}{135}% +\contentsline {table}{\numberline {10.3}{\ignorespaces Chaleur latente\relax }}{136}% \addvspace {10\p@ } -\contentsline {table}{\numberline {11.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{140} -\contentsline {table}{\numberline {11.2}{\ignorespaces Coefficient de dilatation volumique\relax }}{141} -\contentsline {table}{\numberline {11.3}{\ignorespaces Chaleur massique\relax }}{142} -\contentsline {table}{\numberline {11.4}{\ignorespaces Chaleur latente\relax }}{143} -\contentsline {table}{\numberline {11.5}{\ignorespaces \IeC {\'E}tats caract\IeC {\'e}ristiques\relax }}{154} -\contentsline {table}{\numberline {11.6}{\ignorespaces Grandeurs caract\IeC {\'e}ristiques\relax }}{156} +\contentsline {table}{\numberline {11.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{140}% +\contentsline {table}{\numberline {11.2}{\ignorespaces Coefficient de dilatation volumique\relax }}{141}% +\contentsline {table}{\numberline {11.3}{\ignorespaces Chaleur massique\relax }}{142}% +\contentsline {table}{\numberline {11.4}{\ignorespaces Chaleur latente\relax }}{143}% +\contentsline {table}{\numberline {11.5}{\ignorespaces \IeC {\'E}tats caract\IeC {\'e}ristiques\relax }}{154}% +\contentsline {table}{\numberline {11.6}{\ignorespaces Grandeurs caract\IeC {\'e}ristiques\relax }}{156}% \addvspace {10\p@ } -\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{166} -\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{166} -\contentsline {table}{\numberline {A.3}{\ignorespaces Quelques \IeC {\'e}quivalents\relax }}{166} -\contentsline {table}{\numberline {A.4}{\ignorespaces Multiples et sous-multiples\relax }}{167} +\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{166}% +\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{166}% +\contentsline {table}{\numberline {A.3}{\ignorespaces Quelques \IeC {\'e}quivalents\relax }}{166}% +\contentsline {table}{\numberline {A.4}{\ignorespaces Multiples et sous-multiples\relax }}{167}% \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } -\contentsline {table}{\numberline {D.1}{\ignorespaces Tableau de mesures\relax }}{179} +\contentsline {table}{\numberline {D.1}{\ignorespaces Tableau de mesures\relax }}{179}% \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } @@ -41,6 +41,6 @@ \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } -\contentsline {table}{\numberline {M.1}{\ignorespaces La longueur des baguettes de pain\relax }}{248} -\contentsline {table}{\numberline {M.2}{\ignorespaces La longueur d'autres baguettes de pain\relax }}{249} -\contentsline {table}{\numberline {M.3}{\ignorespaces Des centaines de baguettes de pain\relax }}{249} +\contentsline {table}{\numberline {M.1}{\ignorespaces La longueur des baguettes de pain\relax }}{248}% 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dup mul add sqrt } def % Pythagoras, expects 2 parameter /Pyth2 { % Pythagoras, xA yA xB yB @@ -128,8 +143,14 @@ tx@Dict begin 3 1 roll % yB-yA xA xB sub % yB-yA xA-xB Pyth } def -/PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian +/PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian (origimal) +/PtoCrel { pst@angleunit PtoC } def % Polar to Cartesian with \degrees[??] /PtoCab { dup cos 4 -1 roll mul 3 1 roll sin mul } def % Polar to Cartesian (Ellipse) a b phi-> x y +/AnytoDeg { pst@angleunit } def +/DegtoAny { 1 pst@angleunit div} def +/AnytoRad { AnytoDeg DegtoRad } def +/RadtoAny { RadtoDeg DegtoAny } def +% %/Rand { rand 4294967295 div } def % a real random number /Rand { rand 2147483447 div } def % a real random number between 0 and 1 %----------------- hv added 20050516 --------------- @@ -913,10 +934,14 @@ gsave % /Rect { x1 y1 y2 add 2 div moveto +% x1 y2 lineto +% x2 y2 lineto +% x2 y1 lineto +% x1 y1 lineto + x1 y1 lineto % counter clockwise path + x2 y1 lineto + x2 y2 lineto x1 y2 lineto - x2 y2 lineto - x2 y1 lineto - x1 y1 lineto closepath } def % @@ -1050,8 +1075,12 @@ gsave /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def b 0 gt { /z1 b 4 div CLW 2 div add def -% /Helvetica findfont b scalefont setfont - /b b .95 mul CLW 2 div add def } if +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Helvetica findfont b scalefont setfont +% is set in pstricks.tex +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% /NimbusSanL-Regu findfont b scalefont setfont + /b b .95 mul CLW 2 div add def } if systemdict /setstrokeadjust known { true setstrokeadjust /t { } def } { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add @@ -1061,7 +1090,7 @@ gsave /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if - { i dx mul dup y0 moveto + { i dx mul dup xGridOffset add y0 moveto b 0 gt { gsave c i a cvs dup stringwidth pop /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse @@ -1083,7 +1112,7 @@ gsave /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if - { newpath i dy mul dup x0 exch moveto + { newpath i dy mul dup yGridOffset add x0 exch moveto b 0 gt { gsave c i a cvs dup stringwidth pop /z2 ED w 0 gt {z1 z2 add neg} {z1} ifelse @@ -1279,7 +1308,7 @@ end %%EndProcSet %%BeginProcSet: pst-algparser.pro 0 0 -% $Id: pst-algparser.pro 919 2014-05-19 18:42:47Z herbert $ +% $Id: pst-algparser.pro 446 2017-04-19 11:40:55Z herbert $ %% %% PostScript prologue for PSTricks algorithm parser %% Version 0.07, 2014/08/01 @@ -2058,7 +2087,7 @@ end % $Id: pst-tools.pro 842 2013-10-26 10:25:41Z herbert $ % %% PostScript tools prologue for pstricks.tex. -%% Version 0.04, 2013/10/26 +%% Version 0.06, 2017/12/03 %% %% This program can be redistributed and/or modified under the terms %% of the LaTeX Project Public License Distributed from CTAN archives @@ -2267,6 +2296,38 @@ end pop } bind def % +/concatstrings{ % (a) (b) -> (ab) + 1 dict begin + exch dup length + 2 index length add string + dup dup 4 2 roll copy length + 4 -1 roll putinterval + end +} def +% +/reversestring { % (aBC) -> (CBa) + 5 dict begin + /str exch def + /L str length def + /strTemp L string def + /i 0 def + L { + /I L 1 sub i sub def + strTemp i str I 1 getinterval putinterval + /i i 1 add def + } repeat + strTemp + end +} def +% +/concatarray{ % [a c] [b d] -> [a c b d] + 2 dict begin + /a2 exch def + /a1 exch def + [ a1 aload pop a2 aload pop ] + end +} def +% /dot2comma {% on stack a string (...) 2 dict begin /Output exch def @@ -2327,7 +2388,7 @@ end %%EndProcSet %%BeginProcSet: pst-dots.pro 0 0 -% $Id: pst-dots.pro 801 2013-07-09 18:10:41Z herbert $ +% $Id: pst-dots.pro 446 2017-04-19 11:40:55Z herbert $ % %% PostScript prologue for pstricks.tex. %% Version 2.02, 2009/06/16 @@ -25205,8 +25266,8 @@ rf /FI 16[21 21 4[32 32 5[35 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532 a FU(\311lectr)n(oma)n(gn\351tique)28 b FG($)g +FU(Le)j(photon)422 632 y(F)-10 b(aible)28 b FG($)g FU(Un)j(boson)f +(interm\351diaire)751 731 y(F)n(or)-6 b(te)28 b FG($)g +FU(Le)j(gluon)466 831 y(De)g(gra)-7 b(vit)h(a)g(tion)28 +b FG($)g FU(Le)j(gra)-7 b(viton)16 b(?)324 980 y FY(Il)27 +b(faut)g(noter)f(que)h(le)f(gra)n(viton)f(est)i(encore)f(h)n(yp)r(o-) +324 1080 y(th\351tique.)199 1229 y(Finalemen)n(t,)37 +b(il)g(faut)g(encore)e(parler)g(des)i(particules)116 +1329 y(tr\350s)27 b(particuli\350res)f(forman)n(t)h(l'an)n +(timati\350re.)g(On)g(sait)g(de)116 1429 y(nos)36 b(jours)g(pro)r +(duire)f(et)i(sto)r(c)n(k)n(er)e(p)r(endan)n(t)h(une)h(courte)116 +1528 y(p)r(\351rio)r(de)26 b(\(quelques)f(jours)969 1498 +y FW(d)1010 1528 y FY(\))h(ce)g(t)n(yp)r(e)f(de)h(particules)f(qui)116 +1628 y(in)n(teragissen)n(t)42 b(fortemen)n(t)h(a)n(v)n(ec)e(la)i +(mati\350re)g(ordinaire)116 1727 y(en)c(disparaissan)n(t)d(totalemen)n +(t)j(au)f(pro\034t)g(de)h(lumi\350re.)116 1827 y(Ce)h(son)n(t)f(des)g (particules)g(qui)g(on)n(t)h(des)f(propri\351t\351s)f(in-)116 -1379 y(v)n(erses)e(des)h(particules)f(de)h(la)g(mati\350re)f -(ordinaire.)g(P)n(ar)116 1478 y(exemple,)27 b(un)g(p)r(ositron,)f(qui)h -(est)g(un)g(an)n(ti-\351lectron,)e(a)h(la)116 1578 y(m\352me)d(masse)f +1927 y(v)n(erses)e(des)h(particules)f(de)h(la)g(mati\350re)f +(ordinaire.)g(P)n(ar)116 2026 y(exemple,)27 b(un)g(p)r(ositron,)f(qui)h +(est)g(un)g(an)n(ti-\351lectron,)e(a)h(la)116 2126 y(m\352me)d(masse)f (qu'un)i(\351lectron,)e(mais)g(une)i(c)n(harge)d(opp)r(o-)116 -1678 y(s\351e.)30 b(Ces)g(particules)f(n'existen)n(t)i(pas)e(sur)h -(terre)f(ailleurs)116 1777 y(que)20 b(dans)f(les)g(acc\351l\351rateurs) -f(de)h(particules)g(o\371)g(elles)h(son)n(t)116 1877 +2226 y(s\351e.)30 b(Ces)g(particules)f(n'existen)n(t)i(pas)e(sur)h +(terre)f(ailleurs)116 2325 y(que)20 b(dans)f(les)g(acc\351l\351rateurs) +f(de)h(particules)g(o\371)g(elles)h(son)n(t)116 2425 y(pro)r(duites)30 b(par)f(la)h(collision)f(d'autres)g(particules.)h -(Mais)116 1976 y(on)e(p)r(eut)i(en)n(visager)c(qu'il)j(en)g(existe)f(b) -r(eaucoup)g(ailleurs)116 2076 y(dans)j(l'univ)n(ers.)g(Cette)g -(question)g(reste)g(cep)r(endan)n(t)g(d\351-)116 2176 -y(battue.)116 2392 y FX(Conclusion)199 2545 y FY(On)20 +(Mais)116 2524 y(on)e(p)r(eut)i(en)n(visager)c(qu'il)j(en)g(existe)f(b) +r(eaucoup)g(ailleurs)116 2624 y(dans)j(l'univ)n(ers.)g(Cette)g +(question)g(reste)g(cep)r(endan)n(t)g(d\351-)116 2724 +y(battue.)116 2939 y FX(Conclusion)199 3093 y FY(On)20 b(p)r(eut)h(main)n(tenan)n(t)e(mieux)h(comprendre)f(p)r(ourquoi)116 -2644 y(la)32 b(compr\351hension)f(du)h(mouv)n(emen)n(t)g(est)g(l'un)h -(des)f(pre-)116 2744 y(miers)d(ob)r(jectifs)h(du)g(ph)n(ysicien)f(et)h -(p)r(ourquoi)e(la)h(science)116 2844 y(qui)20 b(p)r(ermet)f(de)g +3192 y(la)32 b(compr\351hension)f(du)h(mouv)n(emen)n(t)g(est)g(l'un)h +(des)f(pre-)116 3292 y(miers)d(ob)r(jectifs)h(du)g(ph)n(ysicien)f(et)h +(p)r(ourquoi)e(la)h(science)116 3392 y(qui)20 b(p)r(ermet)f(de)g (pr\351v)n(oir)f(le)h(\023)d(destin)f(\024)20 b(des)f(ob)r(jets,)g(la)g -(m\351-)116 2943 y(canique,)k(commence)f(par)h(une)g(description)f(des) -h(mouv)n(e-)116 3043 y(men)n(ts)28 b(les)f(plus)h(simples)f(:)h(la)f +(m\351-)116 3491 y(canique,)k(commence)f(par)h(une)g(description)f(des) +h(mouv)n(e-)116 3591 y(men)n(ts)28 b(les)f(plus)h(simples)f(:)h(la)f (cin\351matique.)p 0 TeXcolorgray 116 3894 734 4 v 202 3971 a FE(d.)35 b(On)22 b(cr\351e)i(des)f(an)n(ti-protons)g(dans)h(un)f (acc\351l\351rateur)h(de)g(par-)116 4050 y(ticules)k(comme)g(le)f(CERN) @@ -795888,7 +795952,7 @@ h(p)l(articulier,)g(est)f(un)282 5098 y(anne)l(au)e(de)e(sto)l(ckage)g b(une)g(quantit\351)f(d'antimati\350r)l(e)h(qui)f(n)-7 b('est)19 b(p)l(as)i(tr)l(\350s)282 5256 y(p)l(etite)42 b(puisqu'el)5 b(le)44 b(atteint)d(un)i(micr)l(o)l(gr)l(amme)i(p)l(ar) -282 5335 y(jour.)20 b FE(\024)512 5311 y FD(44)p 0 TeXcolorgray +282 5335 y(jour.)20 b FE(\024)512 5311 y FD(25)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 1951 5624 a FY(36)p 0 TeXcolorgray eop end %%Page: 37 37 @@ -796774,7 +796838,7 @@ b(2.)55 b(LA)27 b(CIN\311MA)-7 b(TIQUE)p 116 302 3753 596 a FK(Figure)29 b(2.3)g(\025)h FJ(A)n(p)l(ol)6 b(lo)27 b(16)183 662 y FI(R)m(enc)m(ontr)m(e)c(du)i(mo)m(dule)f(de)g(c)m (ommande)f(et)i(du)g(mo)m(dule)e(lunair)m(e)574 729 y(d'A)m(p)m(ol)5 -b(lo)26 b(16)f(le)g(23)g(avril)g(1972)1411 704 y FH(46)1471 +b(lo)26 b(16)f(le)g(23)g(avril)g(1972)1411 704 y FH(26)1471 729 y FI(.)p 0 TeXcolorgray 207 2830 a @beginspecial 14 @llx 14 @lly 566 @urx 681 @ury 1984 @rwi @setspecial %%BeginDocument: ./Cinematique/Images/Apollo16.eps @@ -812874,7 +812938,7 @@ b(A)l(ndr)l(om\350)l(de-V)-6 b(oie)29 b(L)l(act\351)l(e)-80 662 y FI(R)m(enc)m(ontr)m(e,)23 b(vue)h(depuis)h(la)g(T)-5 b(err)m(e,)24 b(d'A)m(ndr)m(om\350)m(de)g(et)g(de)h(la)f(V)-5 b(oie)449 729 y(L)m(act\351)m(e.)23 b(V)-5 b(ue)25 b(d'artiste)1070 -704 y FH(49)1132 729 y FI(.)p 0 TeXcolorgray -26 2155 +704 y FH(28)1132 729 y FI(.)p 0 TeXcolorgray -26 2155 a @beginspecial 14 @llx 14 @lly 365 @urx 295 @ury 1984 @rwi @setspecial %%BeginDocument: ./Cinematique/Images/Andromede_collision.eps @@ -817584,7 +817648,7 @@ b(an)n(t\))25 b(puis,)g(gr\342ce)f(\340)h(la)g(mise)-116 (4)f(min)n(utes)g(et)h(demie\),)g(ralen-)-116 3309 y(tissait)36 b(juste)i(ce)f(qu'il)g(fallait)g(p)r(our)f(\352tre)h(pris)f(dans)h(le) -116 3409 y(c)n(hamp)27 b(de)h(la)f(gra)n(vit\351)f(lunaire.)21 -b(\024)997 3379 y FW(47)-33 3513 y FY(On)30 b(v)n(oit)f(ainsi)h(que)g +b(\024)997 3379 y FW(27)-33 3513 y FY(On)30 b(v)n(oit)f(ainsi)h(que)g (le)g(mouv)n(emen)n(t)g(des)g(engins)f(spa-)-116 3612 y(tiaux)41 b(est)g(loin)g(d'\352tre)f(un)i(mouv)n(emen)n(t)e(aussi)g (simple)-116 3712 y(qu'on)19 b(p)r(ourrait)f(le)i(p)r(enser)f(\351tan)n @@ -817866,7 +817930,7 @@ b(de)f(l'\351quation)-60 3274 y(horaire)19 b(de)h(la)g(p)r(osition)h b(Discours)31 b(et)h(d\351monstrations)e(math\351-)-60 3473 y(matiques)d(concernan)n(t)f(deux)i(sciences)f(nouv)n(elles)21 b(\024)28 b(dit)g(:)862 3598 y FE(P)n(ortrait)c(de)g(Galil\351e)g -(tir\351)f(de)h(Wikip)r(edia)2000 3574 y FD(50)p 0 TeXcolorgray +(tir\351)f(de)h(Wikip)r(edia)2000 3574 y FD(29)p 0 TeXcolorgray 0 TeXcolorgray 2474 539 a FY(\023)e FV(Si)29 b(un)f(mobile,)i(p)l (artant)f(du)f(r)l(e-)2350 639 y(p)l(os,)50 b(tomb)l(e)g(ave)l(c)g(un)f (mouvement)2350 739 y(uniform\351ment)66 b(ac)l(c)l(\351l\351r)l(\351,) @@ -835490,7 +835554,7 @@ b(sa)1802 4213 y(surface)23 b(\(cf.)j(\034gure)e(2.7\).)g(C'est)g b(en)g(p)r(ermanence.)g(Ainsi,)g(il)h(p)r(eut)g(tom)n(b)r(er)e(sur)h (la)1802 4412 y(T)-7 b(erre)28 b(tout)i(en)f(tournan)n(t)g(autour)g (d'elle.)h(La)f(\034gure)f(2.8)1802 4512 y(pr\351sen)n(te)39 -b(l'illustration)2584 4482 y FW(51)2695 4512 y FY(utilis\351e)h(par)g +b(l'illustration)2584 4482 y FW(30)2695 4512 y FY(utilis\351e)h(par)g (Newton)h(dans)1802 4611 y(les)29 b(principia)g(de)h(1728)e(p)r(our)h (expliquer)g(la)h(c)n(h)n(ute)f(de)h(la)1802 4711 y(lune)1968 4681 y FW(c)2029 4711 y FY(\(v)n(oir)d(aussi)f(page)h(63\).)1885 @@ -835517,7 +835581,7 @@ b(2.)55 b(LA)27 b(CIN\311MA)-7 b(TIQUE)p 116 302 3753 tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 57.21819 59.03915 } PutCoor PutBegin end +tx@Dict begin { 57.21819 59.03915 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.56903 SLW 0 setgray 0 360 54.77126 54.77126 0.0 0.0 0 true Ellipse @@ -835531,7 +835595,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 90. def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 57.18974 141.97849 } PutCoor PutBegin end +tx@Dict begin { 57.18974 141.97849 } PutCoor PutBegin end 395 2003 a 395 2003 a tx@Dict begin ps@rot RotBegin end 395 2003 a @beginspecial @setspecial @@ -835560,7 +835624,7 @@ a @beginspecial @setspecial tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 55.9947 106.61191 } PutCoor PutBegin end +tx@Dict begin { 55.9947 106.61191 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale false 0.25 1. 2.84526 2. 1. .setopacityalpha Arrow EndArrow moveto } @@ -835586,7 +835650,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 61.62834 84.41887 } PutCoor PutBegin end +tx@Dict begin { 61.62834 84.41887 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale false 0.25 1. 2.84526 2. 1. .setopacityalpha Arrow EndArrow moveto } @@ -835612,7 +835676,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 142.40529 56.76294 } PutCoor PutBegin end +tx@Dict begin { 142.40529 56.76294 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.56903 SLW 0 setgray 0 360 8.10901 8.10901 0.0 0.0 0 true Ellipse @@ -835625,7 +835689,7 @@ tx@Dict begin PutEnd end 395 2003 a 395 2003 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 61.85597 61.59987 } PutCoor PutBegin end +tx@Dict begin { 61.85597 61.59987 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale false @@ -835651,7 +835715,7 @@ tx@Dict begin PutEnd end 395 2003 a 395 2003 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 61.40073 75.20021 } PutCoor PutBegin end +tx@Dict begin { 61.40073 75.20021 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale false @@ -835675,45 +835739,45 @@ end tx@Dict begin PutEnd end 395 2003 a 395 2003 a -tx@Dict begin { 57.18974 53.7754 } PutCoor PutBegin end +tx@Dict begin { 57.18974 53.7754 } PutCoor PutBegin end 395 2003 a 299 2032 a FY(T)-7 b(erre)395 2003 y tx@Dict begin PutEnd end 395 2003 a 395 2003 a -tx@Dict begin { 57.18974 156.20479 } PutCoor PutBegin end +tx@Dict begin { 57.18974 156.20479 } PutCoor PutBegin end 395 2003 a 304 2032 a FY(Lune)395 2003 y tx@Dict begin PutEnd end 395 2003 a 395 2003 a -tx@Dict begin { 72.55414 84.78877 } PutCoor PutBegin end +tx@Dict begin { 72.55414 84.78877 } PutCoor PutBegin end 395 2003 a 166 2032 a FY(Mouv)n(emen)n(ts) 395 2003 y tx@Dict begin PutEnd end 395 2003 a 395 2003 a -tx@Dict begin { 131.73557 135.43442 } PutCoor PutBegin end +tx@Dict begin { 131.73557 135.43442 } PutCoor PutBegin end 395 2003 a 183 2032 a FY(Mouv)n(emen)n(t)395 2003 y tx@Dict begin PutEnd end 395 2003 a 395 2003 a -tx@Dict begin { 137.14154 126.89864 } PutCoor PutBegin end +tx@Dict begin { 137.14154 126.89864 } PutCoor PutBegin end 395 2003 a 229 2032 a FY(circulaire)395 2003 y tx@Dict begin PutEnd end 395 2003 a 395 2003 a -tx@Dict begin { 39.83365 129.7439 } PutCoor PutBegin end +tx@Dict begin { 39.83365 129.7439 } PutCoor PutBegin end 395 2003 a 285 2032 a FY(Ch)n(ute)395 2003 y tx@Dict begin PutEnd end 395 2003 a 395 2003 a -tx@Dict begin { 42.39436 120.35452 } PutCoor PutBegin end +tx@Dict begin { 42.39436 120.35452 } PutCoor PutBegin end 395 2003 a 314 2032 a FY(libre)395 2003 y tx@Dict begin PutEnd end 395 2003 a 395 2003 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 58.01486 59.83582 } PutCoor PutBegin end +tx@Dict begin { 58.01486 59.83582 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -835736,7 +835800,7 @@ tx@Dict begin PutEnd end 395 2003 a 395 2003 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 59.97809 61.05931 } PutCoor PutBegin end +tx@Dict begin { 59.97809 61.05931 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -835759,7 +835823,7 @@ tx@Dict begin PutEnd end 2003 a 395 2003 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 60.83168 61.77061 } PutCoor PutBegin end +tx@Dict begin { 60.83168 61.77061 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -835782,7 +835846,7 @@ tx@Dict begin PutEnd end a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 142.12076 56.62067 } PutCoor PutBegin end +tx@Dict begin { 142.12076 56.62067 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -835804,7 +835868,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 142.37682 56.7345 } PutCoor PutBegin end +tx@Dict begin { 142.37682 56.7345 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -835824,7 +835888,7 @@ end 395 2003 a tx@Dict begin PutEnd end 395 2003 a 395 2003 a -tx@Dict begin { 80.52087 73.40773 } PutCoor PutBegin end +tx@Dict begin { 80.52087 73.40773 } PutCoor PutBegin end 395 2003 a 204 2024 a FY(balistiques)395 2003 y tx@Dict begin PutEnd end @@ -835832,7 +835896,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 56.90521 141.69398 } PutCoor PutBegin end +tx@Dict begin { 56.90521 141.69398 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -835854,7 +835918,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 2003 a 395 2003 a -tx@Dict begin { 57.18974 141.97849 } PutCoor PutBegin end +tx@Dict begin { 57.18974 141.97849 } PutCoor PutBegin end 395 2003 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -969842,7 +969906,7 @@ FJ(Chute)e(de)g(la)f(Lune)h(sur)h(la)e(T)-6 b(err)l(e)p 0 TeXcolorgray 2321 1838 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 56.62067 46.37775 } PutCoor PutBegin end +tx@Dict begin { 56.62067 46.37775 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -969856,7 +969920,7 @@ tx@Dict begin PutEnd end 2321 1838 a 2321 1838 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 56.99055 128.03673 } PutCoor PutBegin end +tx@Dict begin { 56.99055 128.03673 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -969870,7 +969934,7 @@ tx@Dict begin PutEnd end 2321 1838 a 2321 1838 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 140.27135 45.23962 } PutCoor PutBegin end +tx@Dict begin { 140.27135 45.23962 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -969884,7 +969948,7 @@ tx@Dict begin PutEnd end 2321 1838 a 2321 1838 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 57.24663 45.29654 } PutCoor PutBegin end +tx@Dict begin { 57.24663 45.29654 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale false @@ -969910,7 +969974,7 @@ tx@Dict begin PutEnd end 2321 1838 a 2321 1838 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 56.76294 46.49155 } PutCoor PutBegin end +tx@Dict begin { 56.76294 46.49155 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -969933,7 +969997,7 @@ tx@Dict begin PutEnd end 2321 1838 a 2321 1838 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 57.90106 46.9468 } PutCoor PutBegin end +tx@Dict begin { 57.90106 46.9468 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -969955,7 +970019,7 @@ tx@Dict begin PutEnd end 2321 1838 a 2321 1838 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 60.3195 48.59705 } PutCoor PutBegin end +tx@Dict begin { 60.3195 48.59705 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -969990,18 +970054,18 @@ end @endspecial 2321 1838 a -tx@Dict begin { 57.18974 38.69556 } PutCoor PutBegin end +tx@Dict begin { 57.18974 38.69556 } PutCoor PutBegin end 2321 1838 a 2225 1866 a FY(T)f(erre)2321 1838 y tx@Dict begin PutEnd end 2321 1838 a 2321 1838 a -tx@Dict begin { 73.12318 92.47096 } PutCoor PutBegin end +tx@Dict begin { 73.12318 92.47096 } PutCoor PutBegin end 2321 1838 a 2225 1857 a FC(d)2268 1869 y FB(T)9 b Fz(\000)p FB(L)2321 1838 y tx@Dict begin PutEnd end 2321 1838 a 2321 1838 a -tx@Dict begin { 117.50926 45.8087 } PutCoor PutBegin end +tx@Dict begin { 117.50926 45.8087 } PutCoor PutBegin end 2321 1838 a 2231 1866 a FY(Lune)2321 1838 y tx@Dict begin PutEnd end @@ -970009,7 +970073,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 140.49898 45.21118 } PutCoor PutBegin end +tx@Dict begin { 140.49898 45.21118 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -970031,7 +970095,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 139.7023 44.32916 } PutCoor PutBegin end +tx@Dict begin { 139.7023 44.32916 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -970053,7 +970117,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 56.90521 128.32126 } PutCoor PutBegin end +tx@Dict begin { 56.90521 128.32126 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -970075,7 +970139,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 1838 a 2321 1838 a -tx@Dict begin { 56.05162 127.75218 } PutCoor PutBegin end +tx@Dict begin { 56.05162 127.75218 } PutCoor PutBegin end 2321 1838 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -971081,7 +971145,7 @@ b(erre,)32 b(mais)h(plus)g(tard)g(trouv)n(er)f(une)-60 2108 y(place)39 b(imp)r(ortan)n(te)h(dans)f(la)g(nouv)n(elle)h(ph)n (ysique)f(\351lab)r(or\351e)g(par)-60 2208 y(Newton.)870 2333 y FE(P)n(ortrait)24 b(de)g(Kepler)g(tir\351)f(de)h(Wikip)r(edia) -2000 2309 y FD(52)2302 2333 y @beginspecial 14 @llx 14 +2000 2309 y FD(31)2302 2333 y @beginspecial 14 @llx 14 @lly 195 @urx 262 @ury 1559 @rwi @setspecial %%BeginDocument: ./Cinematique/Images/Johannes_Kepler_1610.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -1123724,7 +1123788,7 @@ end 2372 V -116 2374 3892 4 v 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 85 2687 a FK(Figure)29 b(2.11)g(\025)h FJ(A)l(str)l(onomic)l(a)f(p)l(ars)g(Optic)l(a)1452 2655 -y FD(54)p 0 TeXcolorgray 93 4694 a @beginspecial 14 @llx +y FD(32)p 0 TeXcolorgray 93 4694 a @beginspecial 14 @llx 14 @lly 440 @urx 584 @ury 1700 @rwi @setspecial %%BeginDocument: ./Cinematique/Images/Kepler_Optica.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -1388559,12 +1388623,12 @@ b FV(Il)49 b(y)g(a)h(dans)f(la)h(natur)l(e)e(tr)l(ois)i(or)l(dr)l(es)f (il)h(ser)l(ait)f(mu\),)g(le)g(mu)f(inc)l(or-)106 1913 y(ruptible)f(\(le)g(ciel\))h(et)f(le)g(mu)f(c)l(orruptible)i(\(le)f (monde)106 2013 y(sublunair)l(e\).)22 b FY(\024)627 1982 -y FW(55)-60 2141 y FY(Un)29 b(homme,)h(ou)e(plut\364t)i(une)g(do)r +y FW(33)-60 2141 y FY(Un)29 b(homme,)h(ou)e(plut\364t)i(une)g(do)r (ctrine)f(\340)f(laquelle)h(les)g(Bruno)f(et)-60 2240 y(Galil\351e)36 b(s'opp)r(oseron)n(t)g(p)r(our)g(faire)h(\351merger)f (l'id\351e)h(d'une)g(ph)n(y-)-60 2340 y(sique)27 b(univ)n(erselle.)588 2440 y FE(Aristote)d(p)r(ein)n(t)g(par)g(Rapha\353l,)g(tir\351)f(de)h -(Wikip)r(edia)2000 2416 y FD(56)2302 2440 y @beginspecial +(Wikip)r(edia)2000 2416 y FD(34)2302 2440 y @beginspecial 14 @llx 14 @lly 323 @urx 415 @ury 1700 @rwi @setspecial %%BeginDocument: ./Dynamique/Images/Aristotle_by_Raphael.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -1396175,7 +1396239,7 @@ b(3)p 0 TeXcolorgray 42 w FV(L)l(a)24 b(r)l(\351)l(action)h(est)e b(en)f(sens)f(c)l(ontr)l(air)l(e.)26 b(\024)36 b(\(Biarnais,)i(1985,) 463 2610 y(pp.)31 b(40)f(et)g(41.\))1070 2763 y FE(P)n(ortrait)23 b(de)h(Newton)h(tir\351)e(de)i(Wikip)r(edia)2233 2740 -y FD(57)2534 2763 y @beginspecial 14 @llx 14 @lly 422 +y FD(35)2534 2763 y @beginspecial 14 @llx 14 @lly 422 @urx 574 @ury 1700 @rwi @setspecial %%BeginDocument: ./Dynamique/Images/GodfreyKneller-IsaacNewton-1689.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -1408177,7 +1408241,7 @@ b(CHAPITRE)28 b(3.)55 b(LA)27 b(M\311CANIQUE)p 116 302 3753 4 v 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 375 596 a FK(Figure)i(3.1)h(\025)f FJ(L)l(a)f(b)l(alanc)l(e)h(de)f (Cavendish)540 662 y FI(Mesur)m(er)c(la)g(for)m(c)m(e)g(de)h(gr)m -(avitation)1466 637 y FH(59)p 0 TeXcolorgray 325 2670 +(avitation)1466 637 y FH(36)p 0 TeXcolorgray 325 2670 a @beginspecial 14 @llx 14 @lly 238 @urx 315 @ury 1700 @rwi @setspecial %%BeginDocument: ./Dynamique/Images/Balance_de_Cavendish.eps @@ -1413495,7 +1413559,7 @@ b(dans)f(un)h(ascenseur)f(qui)h(se)g(d\351place)f(ne)h(mesure)2034 f(De)h(quoi)g(s'agit-il)12 b(?)30 b(Consi-)2034 5015 y(d\351rons)45 b(tout)g(d'ab)r(ord)g(la)h(p)r(ersonne)f(plac\351e)g (sur)g(une)2034 5115 y(balance)d(dans)g(un)h(ascenseur)e(immobile)h -(\(v)n(oir)g(\034gure)2034 5214 y(3.3)2141 5184 y FW(60)2210 +(\(v)n(oir)g(\034gure)2034 5214 y(3.3)2141 5184 y FW(37)2210 5214 y FY(\).)h(A)f(l'arr\352t,)f(la)h(force)f(du)i(ressort)d FC(R)j FY(est)f(\351gale)2034 5314 y(au)f(p)r(oids)g(de)g(la)g(p)r (ersonne.)f(La)h(situation)g(des)g(forces)2034 5414 y(est)28 @@ -1414944,7 +1415008,7 @@ y(la)24 b(tra)r(jectoire,)g(de)h(la)f(pseudo-force)f(cen)n(trifuge)h (qui)h(tra-)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 2206 596 a FK(Figure)k(3.4)g(\025)h FJ(L)l(a)e (sensation)h(des)f(mouvements)2277 662 y FI(Gr)m(avitation,)e(p)m(oids) -f(et)g(mouvement)e(cir)m(culair)m(e)3566 637 y FH(62)p +f(et)g(mouvement)e(cir)m(culair)m(e)3566 637 y FH(38)p 0 TeXcolorgray 2243 2655 a @beginspecial 14 @llx 14 @lly 440 @urx 582 @ury 1700 @rwi @setspecial %%BeginDocument: ./Dynamique/Images/MCU2.eps @@ -1960986,7 +1961050,7 @@ a FS(M\351canique)d(en)i(plusieurs)e(dimensions)p 0 TeXcolorgray -116 2365 a FO(L)p 0 TeXcolorgray 0 TeXcolorgray -99 x FU(a)31 b(cin\351ma)-6 b(tique)32 b(en)g(plusieurs)f(dimensions)p 0 TeXcolorgray 46 2365 a FY(pr\351sen)n(te)45 b(un)h(c)n(hangemen)n(t)f -(imp)r(ortan)n(t)h(dans)f(les)-116 2465 y(outils)30 b(n\351cessaires)e +(imp)r(ortan)n(t)g(dans)h(les)-116 2465 y(outils)30 b(n\351cessaires)e (p)r(our)i(son)g(traitemen)n(t)g(par)g(rapp)r(ort)-116 2565 y(\340)48 b(celle)g(en)g(une)g(dimension.)h(En)f(e\033et,)h(la)e (pr\351sence)-116 2664 y(de)i(plusieurs)g(dimensions)g(n\351cessite)g @@ -1965946,8 +1966010,8 @@ TeXDict begin 87 86 bop 0 TeXcolorgray 0 TeXcolorgray 2984 9 v 3628 1204 9 324 v 645 881 2992 9 v -116 1619 a FS(M\351canique)d(di\033\351ren)-5 b(tielle)p 0 TeXcolorgray -116 2074 a FN(5.1)135 b(In)l(tro)t(duction)p 0 TeXcolorgray --116 2358 a FO(N)p 0 TeXcolorgray 0 TeXcolorgray 29 2258 -a FU(ewton)p 0 TeXcolorgray 1 w FY(,)47 b(a)n(v)n(ec)e(Leibnitz,)j(est) +-116 2358 a FO(N)p 0 TeXcolorgray 0 TeXcolorgray -100 +x FU(ewton)p 0 TeXcolorgray 1 w FY(,)47 b(a)n(v)n(ec)e(Leibnitz,)j(est) f(consid\351r\351)f(comme)71 2358 y(l'un)23 b(des)g(deux)g(premiers)f (auteurs)g(du)h(calcul)f(di\033\351-)-116 2458 y(ren)n(tiel)h(et)h(in)n (t\351gral.)f(La)g(th\351orie)g(ph)n(ysique)g(qu'il)h(a)f(d\351v)n(e-) @@ -1971814,7 +1971878,7 @@ TeXDict begin 95 94 bop 0 TeXcolorgray 0 TeXcolorgray a FS(Quan)-5 b(tit\351)60 b(de)i(mouv)-5 b(emen)g(t)p 0 TeXcolorgray -116 2074 a FN(6.1)135 b(In)l(tro)t(duction)p 0 TeXcolorgray -116 2356 a FO(I)p 0 TeXcolorgray 0 TeXcolorgray --100 x FU(l)31 b(existe)p 0 TeXcolorgray 29 w FY(une)e(classe)f(de)h +-100 x FU(l)30 b(existe)p 0 TeXcolorgray 30 w FY(une)f(classe)f(de)h (probl\350mes)f(qui)h(fon)n(t)g(in)n(ter-)-6 2356 y(v)n(enir)22 b(des)g(forces)g(v)-5 b(arian)n(t)21 b(tr\350s)h(rapidemen)n(t)g(et)h (d'une)-116 2455 y(grande)32 b(in)n(tensit\351.)h(Il)g(s'agit)f(des)h @@ -1972398,7 +1972462,7 @@ b(se)h(mettre)f(\340)h(tourner)e(sur)h(eux-m\352me)h(et)g(im-)91 2226 y(pliquer)28 b(un)g(princip)r(e)g(issu)g(de)g(la)f(dynamique)h (des)91 2325 y(ob)r(jets)37 b(en)g(rotation,)f(celui)h(de)g(conserv)-5 b(ation)35 b(du)91 2425 y(momen)n(t)28 b(cin\351tique)737 -2395 y FW(63)807 2425 y FY(.)91 2524 y(Malheureusemen)n(t,)35 +2395 y FW(39)807 2425 y FY(.)91 2524 y(Malheureusemen)n(t,)35 b(nous)f(ne)h(p)r(ouv)n(ons)f(ab)r(order)91 2624 y(ce)42 b(princip)r(e)h(ici.)f(La)f(dynamique)h(g\351n\351rale)f(des)91 2724 y(c)n(ho)r(cs)d(restera)e(donc)i(ici)g(inaccessible.)g(Nous)g(ne) @@ -1972761,7 +1972825,7 @@ TeXDict begin 102 101 bop 0 TeXcolorgray 0 TeXcolorgray b(L'\311NER)n(GIE)p 116 302 3753 4 v 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 621 596 a FK(Figure)29 b(7.1)h(\025)f FJ(Puissanc)l(e)754 662 y FI(L)m(e)23 b(cheval)h(vap)m(eur)1254 -637 y FH(65)p 0 TeXcolorgray 325 2144 a @beginspecial +637 y FH(40)p 0 TeXcolorgray 325 2144 a @beginspecial 14 @llx 14 @lly 682 @urx 664 @ury 1700 @rwi @setspecial %%BeginDocument: ./Energie/Images/ChevalVapeur.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -1995133,7 +1995197,7 @@ TeXDict begin 104 103 bop 0 TeXcolorgray 0 TeXcolorgray 116 302 3753 4 v 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 267 600 a FK(Figure)29 b(7.2)g(\025)h FJ(\311ner)l(gie)f(cin\351tique)f (et)g(p)l(otentiel)6 b(le)649 667 y FI(L'\351ner)m(gie)24 -b(se)h(tr)m(ansforme)1358 641 y FH(67)p 0 TeXcolorgray +b(se)h(tr)m(ansforme)1358 641 y FH(41)p 0 TeXcolorgray 325 2658 a @beginspecial 14 @llx 14 @lly 465 @urx 615 @ury 1700 @rwi @setspecial %%BeginDocument: ./Energie/Images/En_cin_pot_circ.eps @@ -2009163,7 +2009227,7 @@ b(CHAPITRE)27 b(7.)55 b(L'\311NER)n(GIE)p 116 302 3753 596 a FK(Figure)29 b(7.3)h(\025)f FJ(Barr)l(age)g(d'Emosson)g (\(Suisse\))349 675 y FI(D'une)d(hauteur)e(de)h FF(180)12 b(m)24 b FI(et)g(lar)m(geur)g(de)h FF(560)12 b(m)1657 -650 y FH(69)p 0 TeXcolorgray 325 2684 a @beginspecial +650 y FH(42)p 0 TeXcolorgray 325 2684 a @beginspecial 14 @llx 14 @lly 1727 @urx 2319 @ury 1700 @rwi @setspecial %%BeginDocument: ./Energie/Images/Emosson.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -2209189,7 +2209253,7 @@ y(f\351ren)n(tes)46 b(plages)f(d'utilisation.)i(Il)g(existe)g(essen)n (en)g(fonctionnemen)n(t)-116 2524 y(dans)27 b(le)h(monde.)p 0 TeXcolorgray 0 TeXcolorgray 302 2764 a FK(Figure)h(7.4)h(\025)f FJ(T)-6 b(urbine)28 b(Pelton)430 2831 y FI(Des)d(go)m(dets)f(pr)m -(opulseurs)1112 2805 y FH(71)p 0 TeXcolorgray 93 4133 +(opulseurs)1112 2805 y FH(43)p 0 TeXcolorgray 93 4133 a @beginspecial 14 @llx 14 @lly 515 @urx 438 @ury 1700 @rwi @setspecial %%BeginDocument: ./Energie/Images/Pelton.eps @@ -2447262,7 +2447326,7 @@ setlinejoin 0 setlinecap stroke grestore end @endspecial 91 3033 a -tx@Dict begin { 34.71216 113.52588 } PutCoor PutBegin end +tx@Dict begin { 34.71216 113.52588 } PutCoor PutBegin end 91 3033 a 63 3061 a FC(S)91 3033 y tx@Dict begin PutEnd end 91 3033 @@ -2447286,7 +2447350,7 @@ def 0 setlinejoin false Line gsave 0.42676 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore end @endspecial 91 3033 a -tx@Dict begin { 83.08159 90.19475 } PutCoor PutBegin end +tx@Dict begin { 83.08159 90.19475 } PutCoor PutBegin end 91 3033 a -52 3061 a FC(d)h FL(=)g FC(v)e FG(\001)e FC(t)91 3033 y tx@Dict begin PutEnd end @@ -2447636,7 +2447700,7 @@ Arcto } def 0 setlinejoin false Polygon gsave 0.4 SLW 0 0 1 setrgbcolor end @endspecial 1760 765 a -tx@Dict begin { 89.6264 -91.75984 } PutCoor PutBegin end +tx@Dict begin { 89.6264 -91.75984 } PutCoor PutBegin end 1760 765 a 19 x Ft(Chau\033age)1760 765 y tx@Dict begin PutEnd end @@ -2447680,17 +2447744,17 @@ tx@Dict begin PutEnd end @endspecial 1760 765 a -tx@Dict begin { 170.90013 -95.87889 } PutCoor PutBegin end +tx@Dict begin { 170.90013 -95.87889 } PutCoor PutBegin end 1760 765 a 1595 791 a Ft(Sanitaires)1760 765 y tx@Dict begin PutEnd end 1760 765 a 1760 765 a -tx@Dict begin { 89.6264 -100.29619 } PutCoor PutBegin end +tx@Dict begin { 89.6264 -100.29619 } PutCoor PutBegin end 1760 765 a 19 x Ft(d'app)r(oin)n(t)1760 765 y tx@Dict begin PutEnd end 1760 765 a 1760 765 a -tx@Dict begin { 42.67912 -42.67912 } PutCoor PutBegin end +tx@Dict begin { 42.67912 -42.67912 } PutCoor PutBegin end 1760 765 a 1624 791 a Ft(\020Boiler\021) 1760 765 y tx@Dict begin PutEnd end @@ -2447747,7 +2447811,7 @@ false Line gsave 0.4 SLW 1 0 0 setrgbcolor 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore end @endspecial 1760 765 a -tx@Dict begin { -98.16211 -170.71649 } PutCoor PutBegin end +tx@Dict begin { -98.16211 -170.71649 } PutCoor PutBegin end 1760 765 a 19 x Ft(P)n(omp)r(e)h (r\351gulatrice)1760 765 y tx@Dict begin PutEnd end @@ -2447755,7 +2447819,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 59. def grestore end 1760 765 a 1760 765 a -tx@Dict begin { -106.6978 -108.83188 } PutCoor PutBegin end +tx@Dict begin { -106.6978 -108.83188 } PutCoor PutBegin end 1760 765 a 1760 765 a tx@Dict begin ps@rot RotBegin end 1760 765 a 1456 @@ -2447768,7 +2447832,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 59. def grestore end 1760 765 a 1760 765 a -tx@Dict begin { -183.52036 -149.37692 } PutCoor PutBegin end +tx@Dict begin { -183.52036 -149.37692 } PutCoor PutBegin end 1760 765 a 1760 765 a tx@Dict begin ps@rot RotBegin end 1760 765 a 19 x Ft(Vitrage)1760 @@ -2447780,7 +2447844,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 59. def grestore end 1760 765 a 1760 765 a -tx@Dict begin { -170.71649 -156.20573 } PutCoor PutBegin end +tx@Dict begin { -170.71649 -156.20573 } PutCoor PutBegin end 1760 765 a 1760 765 a tx@Dict begin ps@rot RotBegin end 1760 765 a 26 @@ -2447792,7 +2447856,7 @@ tx@Dict begin PutEnd end 1760 765 a 1760 765 a tx@Dict begin gsave STV CP T /ps@rot 59. def grestore end 1760 765 a 1760 765 a -tx@Dict begin { -98.16211 -115.23349 } PutCoor PutBegin end +tx@Dict begin { -98.16211 -115.23349 } PutCoor PutBegin end 1760 765 a 1760 765 a tx@Dict begin ps@rot RotBegin end @@ -2447921,7 +2447985,7 @@ stroke grestore end @endspecial 1760 765 a -tx@Dict begin { -192.05605 0.0 } PutCoor PutBegin end +tx@Dict begin { -192.05605 0.0 } PutCoor PutBegin end 1760 765 a 26 x Ft(Flux)g(solaire)j(inciden)n(t)1760 765 y tx@Dict begin PutEnd end @@ -2447940,7 +2448004,7 @@ false /DS 2.0 2. CLW mul add 2 div def EndDot EndArrow } def [ 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 191 2584 a FK(Figure)h(7.10)g(\025)h FJ(E\033et)e(photo)l(\351le)l(ctrique)423 2651 y FI(Ou)d(e\033et)f(photovolta\357que)1119 2625 -y FH(73)p 0 TeXcolorgray 93 3754 a @beginspecial 14 @llx +y FH(44)p 0 TeXcolorgray 93 3754 a @beginspecial 14 @llx 14 @lly 561 @urx 400 @ury 1700 @rwi @setspecial %%BeginDocument: ./Energie/Images/Photoelectric_effect.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -2449266,7 +2449330,7 @@ FY(17\045\).)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 2073 2584 a FK(Figure)29 b(7.11)h(\025)f FJ(Cel)6 b(lule)27 b(photo)l(\351le)l(ctrique)2312 2651 y FI(Ou)e(c)m(el)5 b(lule)23 b(photovolta\357que)3066 -2625 y FH(75)p 0 TeXcolorgray 2010 4072 a @beginspecial +2625 y FH(45)p 0 TeXcolorgray 2010 4072 a @beginspecial 14 @llx 14 @lly 429 @urx 400 @ury 1700 @rwi @setspecial %%BeginDocument: ./Energie/Images/CellulePhotoElectrique.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -2459582,7 +2459646,7 @@ y(solaire)35 b(\351lectrique.)h(Il)h(s'agit)e(du)i(fait)g(que)f(les)g (cellules)116 1585 y(n\351cessiteraien)n(t)h(plus)i(d'\351nergie)e(p)r (our)h(\352tre)g(pro)r(duites)116 1685 y(qu'elles)f(ne)h(son)n(t)f (capables)f(d'en)h(fournir.)g(Or,)g(l'\351ner-)116 1785 -y(gie)c(n\351cessaire)609 1754 y FW(76)711 1785 y FY(p)r(our)g +y(gie)c(n\351cessaire)609 1754 y FW(46)711 1785 y FY(p)r(our)g (fabriquer)f(et)h(installer)g(les)f(cel-)116 1884 y(lules)k(est)g(de)f (l'ordre)g(de)h FC(E)1022 1896 y FB(f)7 b(ab)1167 1884 y FL(=)36 b(420)12 b(k)-7 b(Wh)q FC(=)p FL(m)1687 1854 @@ -2459600,7 +2459664,7 @@ b(alen)n(t)20 b(de)h(ce)f(que)116 2603 y(sa)34 b(pro)r(duction)f(a)h (n\351cessit\351.)g(Sur)g(une)g(dur\351e)g(de)g(fonc-)116 2702 y(tionnemen)n(t)27 b(en)n(tre)e(vingt)h(et)h(tren)n(te)f(ans,)g (le)g(bilan)g(\351ner-)116 2802 y(g\351tique)20 b(est)g(tr\350s)f(fa)n -(v)n(orable)1003 2772 y FW(77)1072 2802 y FY(.)h(En)f(e\033et,)i(p)r +(v)n(orable)1003 2772 y FW(47)1072 2802 y FY(.)h(En)f(e\033et,)i(p)r (our)f(vingt)g(ans)116 2901 y(d'utilisation,)28 b(l'\351nergie)f(pro)r (duite)g(est)h(:)439 3089 y FC(E)g FL(=)23 b(20)17 b FG(\001)h FL(20)g FG(\001)g FL(24)g FG(\001)g FL(365)k(=)h(3504)12 @@ -2459696,7 +2459760,7 @@ b(7.10.)54 b(\311NER)n(GIES)27 b(NON)g(RENOUVELABLES)p -116 302 3753 4 v 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 997 596 a FK(Figure)i(7.12)h(\025)g FJ(A)n(pplic)l(ations)e(de)g(la)f (g\351)l(othermie)1541 662 y FI(Selon)f(Lindal)1918 637 -y FH(79)p 0 TeXcolorgray -71 2684 a @beginspecial 14 +y FH(48)p 0 TeXcolorgray -71 2684 a @beginspecial 14 @llx 14 @lly 678 @urx 362 @ury 4393 @rwi @setspecial %%BeginDocument: ./Energie/Images/GeothermieApplications.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -2474012,7 +2474076,7 @@ end @endspecial 0 TeXcolorgray 2373 3441 a FK(Figure)29 b(7.14)h(\025)f FJ(R)l(\351)l(acteur)h(nucl\351)l(air)l(e)p 0 TeXcolorgray 2548 3637 a FW(R\351acteur)21 b(\340)h(eau)g(b)r -(ouillan)n(te)3296 3612 y FH(80)p 0 TeXcolorgray 2571 +(ouillan)n(te)3296 3612 y FH(49)p 0 TeXcolorgray 2571 3710 a FW(1.)p 0 TeXcolorgray 41 w(Barre)g(d'arr\352t)g(d'urgence.)p 0 TeXcolorgray 2571 3796 a(2.)p 0 TeXcolorgray 41 w(Barre)g(de)g(con)n (tr\364le.)p 0 TeXcolorgray 2571 3883 a(3.)p 0 TeXcolorgray @@ -2474176,7 +2474240,7 @@ TeXDict begin 116 115 bop 0 TeXcolorgray 0 TeXcolorgray b(CHAPITRE)27 b(7.)55 b(L'\311NER)n(GIE)p 116 302 3753 4 v 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 358 596 a FK(Figure)29 b(7.15)g(\025)h FJ(Combustion)e(du)g(m\351thane)829 -662 y FI(Gaz)c(natur)m(el)1178 637 y FH(82)p 0 TeXcolorgray +662 y FI(Gaz)c(natur)m(el)1178 637 y FH(50)p 0 TeXcolorgray 207 1775 a @beginspecial 14 @llx 14 @lly 579 @urx 359 @ury 1984 @rwi @setspecial %%BeginDocument: ./Energie/Images/Combustion_methane.eps @@ -2475795,7 +2475859,7 @@ TeXDict begin 119 118 bop 0 TeXcolorgray 0 TeXcolorgray 2984 9 v 3628 1204 9 324 v 645 881 2992 9 v -116 1619 a FS(L'\351nergie)p 0 TeXcolorgray -116 2074 a FN(8.1)135 b(In)l(tro)t(duction)p 0 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y(son)h(princip)r(e)g(de)g (fonctionnemen)n(t)h(en)f(relation)g(a)n(v)n(ec)f(le)-116 @@ -2534205,8 +2534269,8 @@ y FY(.)1802 2896 y FN(A.5)134 b(Con)l(v)l(ersions)1885 (resten)n(t)g(utiles)h(:)1885 3328 y(L'unit\351)38 b(astronomique)e (corresp)r(ond)g(\340)i(la)f(longueur)1802 3427 y(du)27 b(demi-grand)g(axe)g(de)g(l'orbite)h(terrestre.)1885 -3527 y(Le)j(parsec)g(est)g(la)g(distance)h(\340)f(laquelle)g -FL(1)14 b(ua)32 b FY(est)g(vue)1802 3627 y(sous)22 b(un)i(angle)e(de)h +3527 y(Le)j(parsec)g(est)g(la)h(distance)f(\340)g(laquelle)g +FL(1)14 b(au)32 b FY(est)g(vue)1802 3627 y(sous)22 b(un)i(angle)e(de)h FL(1)2454 3596 y Fz(00)2520 3627 y FY(\(une)g(seconde\))g(d'arc.)g (Comme)g FL(1)o FA(\260)1802 3726 y FY(est)j(divis\351)g(en)g FL(60)2354 3696 y Fz(0)2404 3726 y FY(\(min)n(utes\))h(d'arc)e(et)i @@ -2534216,7 +2534280,7 @@ FL(1)3122 3696 y Fz(0)3172 3726 y FY(d'arc)e(en)i FL(60)3571 FL(1)p FC(=)p FL(3600)m FA(\260)p FY(.)i(P)n(our)1802 3925 y(calculer)27 b(ce)h(que)g(v)-5 b(aut)28 b FL(1)14 b(p)r(c)p FY(,)28 b(il)h(faut)f(une)h(relation)e(en)n(tre)1802 -4025 y(la)c(distance)g(r\351elle)g(L)g(de)h FL(1)13 b(ua)24 +4025 y(la)c(distance)g(r\351elle)g(L)g(de)h FL(1)13 b(au)24 b FY(et)g(l'angle)f FC(\013)h FY(\()p FL(1)3274 3995 y Fz(00)3316 4025 y FY(\))g(sous)f(le-)1802 4125 y(quel)j(cette)h (distance)g(est)f(vue.)h(Cette)g(relation)f(est)g(\(v)n(oir)1802 @@ -2534430,7 +2534494,7 @@ b(=)149 b FL(2)p FC(;)p FL(54)17 b FG(\001)i FL(10)1608 185 2736 1698 4 v 185 2836 4 100 v 238 2806 a(1)13 b(ft)29 b FY(\(pied\))f(=)f FL(12)13 b(in)221 b FY(=)j FL(0)p FC(;)o FL(3048)12 b(m)p 1879 2836 V 185 2839 1698 4 v -185 2939 4 100 v 238 2909 a(1)h(ua)28 b FY(\(unit\351)h(astro.\))211 +185 2939 4 100 v 238 2909 a(1)h(au)28 b FY(\(unit\351)h(astro.\))211 b(=)138 b FL(1)p FC(;)o FL(496)17 b FG(\001)i FL(10)1638 2878 y FF(11)1721 2909 y FL(m)p 1879 2939 V 185 2942 1698 4 v 185 3041 4 100 v 238 3012 a(1)13 b(AL)28 b FY(\(ann\351e)g @@ -2534641,7 +2534705,7 @@ TeXDict begin 169 168 bop 0 TeXcolorgray 0 TeXcolorgray (ordon-)218 2217 y(n\351es)46 b(circulaires)-116 2529 y FM(B.1.1)112 b(In)m(tro)s(duction)p 0 TeXcolorgray -116 2896 a FO(I)p 0 TeXcolorgray 0 TeXcolorgray -100 -x FU(l)31 b(existe)p 0 TeXcolorgray 33 w FY(b)r(eaucoup)h(de)h(t)n(yp)r +x FU(l)30 b(existe)p 0 TeXcolorgray 34 w FY(b)r(eaucoup)i(de)h(t)n(yp)r (es)f(de)h(syst\350mes)f(de)g(co-)-6 2896 y(ordonn\351es.)d(Chacun)h (est)g(adapt\351)g(\340)g(une)h(utilisation)-116 2995 y(particuli\350re.)e(P)n(our)g(les)h(mouv)n(emen)n(ts)f(circulaires)g @@ -2535170,7 +2535234,7 @@ TeXDict begin 171 170 bop 0 TeXcolorgray 0 TeXcolorgray 1204 2952 9 v 3628 1204 9 324 v 676 881 2961 9 v -116 1619 a FS(Mesures)g(de)g(distances)p 0 TeXcolorgray 0 TeXcolorgray -116 2134 a FO(I)p 0 TeXcolorgray 0 TeXcolorgray --100 x FU(l)31 b(est)g(ici)h(question)p 0 TeXcolorgray +-100 x FU(l)30 b(est)i(ici)g(question)p 0 TeXcolorgray 102 w FY(de)103 b(pr\351sen)n(ter)e(quelques)-6 2134 y(exemples)50 b(de)f(mesures)g(de)h(distances.)g(L'ob)r(jectif)-116 2233 y(est)38 b(de)g(se)g(rendre)g(compte)g(\340)g(la)g(fois)g(de)g @@ -2535215,7 +2535279,7 @@ b(ail)6 b(le)26 b(de)i(la)f(terr)l(e)p 0 TeXcolorgray 2005 3215 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 59.75047 62.31119 } PutCoor PutBegin end +tx@Dict begin { 59.75047 62.31119 } PutCoor PutBegin end 2005 3215 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -2535283,7 +2535347,7 @@ false Line gsave 0.7113 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 70.19257 62.31119 } PutCoor PutBegin end +tx@Dict begin { 70.19257 62.31119 } PutCoor PutBegin end 2005 3215 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -2535306,7 +2535370,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 62.22583 62.45346 } PutCoor PutBegin end +tx@Dict begin { 62.22583 62.45346 } PutCoor PutBegin end 2005 3215 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -2535329,7 +2535393,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 67.68872 62.31119 } PutCoor PutBegin end +tx@Dict begin { 67.68872 62.31119 } PutCoor PutBegin end 2005 3215 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -2535357,14 +2535421,14 @@ setlinejoin false Line gsave 0.42676 SLW 0 setgray 1. .setopacityalpha @endspecial 2005 3215 a -tx@Dict begin { 147.3845 39.5491 } PutCoor PutBegin end +tx@Dict begin { 147.3845 39.5491 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a tx@Dict begin gsave STV CP T /ps@rot -27. def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 82.22801 41.54082 } PutCoor PutBegin end +tx@Dict begin { 82.22801 41.54082 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin ps@rot RotBegin end @@ -2535398,7 +2535462,7 @@ tx@Dict begin PutEnd end 3215 a tx@Dict begin gsave STV CP T /ps@rot -27. def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 98.16148 112.38779 } PutCoor PutBegin end +tx@Dict begin { 98.16148 112.38779 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin ps@rot RotBegin end @@ -2535411,7 +2535475,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot -27. def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 22.76208 10.52745 } PutCoor PutBegin end +tx@Dict begin { 22.76208 10.52745 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin ps@rot RotBegin end 2005 3215 a 1936 3243 @@ -2535421,12 +2535485,12 @@ tx@Dict begin RotEnd end tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 132.02007 68.28625 } PutCoor PutBegin end +tx@Dict begin { 132.02007 68.28625 } PutCoor PutBegin end 2005 3215 a 1901 3235 a FY(Sy)n(\350ne)2005 3215 y tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 140.55585 83.93518 } PutCoor PutBegin end +tx@Dict begin { 140.55585 83.93518 } PutCoor PutBegin end 2005 3215 a 1809 3243 a FY(Alexandrie)2005 3215 y tx@Dict begin PutEnd end @@ -2535434,7 +2535498,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 111.19278 90.59308 } PutCoor PutBegin end +tx@Dict begin { 111.19278 90.59308 } PutCoor PutBegin end 2005 3215 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -2535457,7 +2535521,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 90. def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 66.92053 64.01836 } PutCoor PutBegin end +tx@Dict begin { 66.92053 64.01836 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin ps@rot RotBegin end 2005 3215 @@ -2535482,54 +2535546,54 @@ tx@Dict begin RotEnd end 2005 3215 a 2005 3215 a tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 146.24637 97.59244 } PutCoor PutBegin end +tx@Dict begin { 146.24637 97.59244 } PutCoor PutBegin end 2005 3215 a 1710 3235 a FY(Ra)n(y)n(ons)f(du)h(soleil)2005 3215 y tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 95.31622 85.64235 } PutCoor PutBegin end +tx@Dict begin { 95.31622 85.64235 } PutCoor PutBegin end 2005 3215 a 1978 3232 a FC(\013)2005 3215 y tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 80.52087 67.14816 } PutCoor PutBegin end +tx@Dict begin { 80.52087 67.14816 } PutCoor PutBegin end 2005 3215 a 1978 3232 a FC(\013)2005 3215 y tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 135.43442 68.00171 } PutCoor PutBegin end +tx@Dict begin { 135.43442 68.00171 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 132.30461 67.71721 } PutCoor PutBegin end +tx@Dict begin { 132.30461 67.71721 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 21.0549 121.20811 } PutCoor PutBegin end +tx@Dict begin { 21.0549 121.20811 } PutCoor PutBegin end 2005 3215 a 1843 3235 a FY(T)-7 b(ropique)2005 3215 y tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 158.1965 111.5342 } PutCoor PutBegin end +tx@Dict begin { 158.1965 111.5342 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 136.85704 55.48257 } PutCoor PutBegin end +tx@Dict begin { 136.85704 55.48257 } PutCoor PutBegin end 2005 3215 a 1866 3243 a FY(Plan)27 b(de)2005 3215 y tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 144.2547 44.38608 } PutCoor PutBegin end +tx@Dict begin { 144.2547 44.38608 } PutCoor PutBegin end 2005 3215 a 1808 3235 a FY(l'\351cliptique) 2005 3215 y tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 18.49419 111.81874 } PutCoor PutBegin end +tx@Dict begin { 18.49419 111.81874 } PutCoor PutBegin end 2005 3215 a 1959 3243 a FY(du)2005 3215 y tx@Dict begin PutEnd end @@ -2535537,7 +2535601,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot -27. def grestore end 2005 3215 a 2005 3215 a -tx@Dict begin { 44.95512 93.04001 } PutCoor PutBegin end +tx@Dict begin { 44.95512 93.04001 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin ps@rot RotBegin end 2005 3215 @@ -2535547,7 +2535611,7 @@ tx@Dict begin RotEnd end 3215 a tx@Dict begin PutEnd end 2005 3215 a 2005 3215 a -tx@Dict begin { 48.36943 87.91853 } PutCoor PutBegin end +tx@Dict begin { 48.36943 87.91853 } PutCoor PutBegin end 2005 3215 a 2005 3215 a tx@Dict begin PutEnd end @@ -2535794,7 +2535858,7 @@ b FL(1)p FY(.)-33 5107 y(Et)24 b(cela)h(sans)f(tenir)h(compte)f(du)i 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 2188 596 a FK(Figure)j(C.2)g(\025)g FJ(T)-6 b(ail)6 b(le)27 b(de)h(la)f(lune) 2378 662 y FI(Une)e(tail)5 b(le)26 b(inc)m(ertaine)2999 -637 y FH(93)p 0 TeXcolorgray 2010 1781 a @beginspecial +637 y FH(58)p 0 TeXcolorgray 2010 1781 a @beginspecial 5 @llx 708 @lly 185 @urx 837 @ury 1700 @rwi @setspecial %%BeginDocument: ./Annexe-MesuresDistances/Images/RayonLune.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -2549476,7 +2549540,7 @@ b(distanc)l(e)h(vue)f(d'un)h(lieu)f(&)g(non)g(p)l(as)h(de)2200 g(la)g(p)l(ar)l(al)6 b(laxe)s FY(\021)2200 2624 y(J.)22 b(D.)h(Cassini,)f(dans)g(\020M\351moires)g(de)h(l'A)n(cad\351-)2200 2724 y(mie)e(Ro)n(y)n(ale)f(des)g(Sciences\021,)h(v)n(olume)g(8,)f -(ann\351e)2200 2823 y(1730.)2391 2793 y FW(94)p 0 TeXcolorgray +(ann\351e)2200 2823 y(1730.)2391 2793 y FW(59)p 0 TeXcolorgray 0 TeXcolorgray 2386 3119 a FK(Figure)29 b(C.3)g(\025)h FJ(Par)l(al)6 b(laxe)28 b(de)g(Mars)2104 3186 y FI(Pr)m(emi\350r)m(e)23 b(\351tap)m(e)h(p)m(our)g(d\351terminer)h(la)g(distanc)m(e)g(T)-5 @@ -2549484,7 +2549548,7 @@ b(err)m(e-Soleil.)p 0 TeXcolorgray 2179 4307 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2179 4307 a 2179 4307 a -tx@Dict begin { 28.6233 35.1105 } PutCoor PutBegin end +tx@Dict begin { 28.6233 35.1105 } PutCoor PutBegin end 2179 4307 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.42676 SLW 0 setgray 0 360 26.06259 26.06259 0.0 0.0 0 true Ellipse @@ -2549498,7 +2549562,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2179 4307 a 2179 4307 a -tx@Dict begin { 137.42609 79.95183 } PutCoor PutBegin end +tx@Dict begin { 137.42609 79.95183 } PutCoor PutBegin end 2179 4307 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray 0 360 4.12561 4.12561 0.0 0.0 0 true Ellipse @@ -2549549,7 +2549613,7 @@ def 0 setlinejoin false Polygon gsave 0.28453 SLW 0 setgray 1. 2179 4307 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2179 4307 a 2179 4307 a -tx@Dict begin { 49.16609 51.5561 } PutCoor PutBegin end +tx@Dict begin { 49.16609 51.5561 } PutCoor PutBegin end 2179 4307 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -2549569,47 +2549633,47 @@ moveto exch arc mtrx setmatrix gsave 0.28453 SLW 0 setgray 1. .setopacityalpha tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 102.42938 41.54082 } PutCoor PutBegin end +tx@Dict begin { 102.42938 41.54082 } PutCoor PutBegin end 2179 4307 a 2179 4307 a tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 17.3561 19.34778 } PutCoor PutBegin end +tx@Dict begin { 17.3561 19.34778 } PutCoor PutBegin end 2179 4307 a 2179 4307 a tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 66.29457 57.47424 } PutCoor PutBegin end +tx@Dict begin { 66.29457 57.47424 } PutCoor PutBegin end 2179 4307 a 2179 4307 a tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 72.55414 21.0549 } PutCoor PutBegin end +tx@Dict begin { 72.55414 21.0549 } PutCoor PutBegin end 2179 4307 a 2179 4307 a tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 95.88527 4.26788 } PutCoor PutBegin end +tx@Dict begin { 95.88527 4.26788 } PutCoor PutBegin end 2179 4307 a 2179 4307 a tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 182.66571 97.30789 } PutCoor PutBegin end +tx@Dict begin { 182.66571 97.30789 } PutCoor PutBegin end 2179 4307 a 2151 4335 a FY(E)2179 4307 y tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 73.69223 53.4909 } PutCoor PutBegin end +tx@Dict begin { 73.69223 53.4909 } PutCoor PutBegin end 2179 4307 a 2153 4327 a FC(\014)2179 4307 y tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 41.82532 50.93015 } PutCoor PutBegin end +tx@Dict begin { 41.82532 50.93015 } PutCoor PutBegin end 2179 4307 a 2151 4335 a FY(P)2179 4307 y tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 48.65396 29.87523 } PutCoor PutBegin end +tx@Dict begin { 48.65396 29.87523 } PutCoor PutBegin end 2179 4307 a 2149 4335 a FY(C)2179 4307 y tx@Dict begin PutEnd end @@ -2549622,7 +2549686,7 @@ setlinejoin 0 setlinecap stroke grestore end @endspecial 2179 4307 a -tx@Dict begin { 23.61566 40.40268 } PutCoor PutBegin end +tx@Dict begin { 23.61566 40.40268 } PutCoor PutBegin end 2179 4307 a 2149 4335 a FY(T)2179 4307 y tx@Dict begin PutEnd end @@ -2549665,7 +2549729,7 @@ false Line gsave 0.28453 SLW 0 setgray 1. .setopacityalpha 0 setlinecap [ 2.84526 2.84526 ] 0 0 add DashLine grestore end @endspecial 2179 4307 a -tx@Dict begin { 42.67891 112.10324 } PutCoor PutBegin end +tx@Dict begin { 42.67891 112.10324 } PutCoor PutBegin end 2179 4307 a 2053 4335 a FY(P)n(olaire)2179 4307 y tx@Dict begin PutEnd end @@ -2549681,7 +2549745,7 @@ setlinejoin 0 setlinecap stroke grestore end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2179 4307 a 2179 4307 a -tx@Dict begin { 49.36528 50.98706 } PutCoor PutBegin end +tx@Dict begin { 49.36528 50.98706 } PutCoor PutBegin end 2179 4307 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale false 0.25 1. 2.84526 2. 1. .setopacityalpha Arrow EndArrow moveto } @@ -2549707,7 +2549771,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2179 4307 a 2179 4307 a -tx@Dict begin { 54.74283 37.27292 } PutCoor PutBegin end +tx@Dict begin { 54.74283 37.27292 } PutCoor PutBegin end 2179 4307 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale false 0.25 1. 2.84526 2. 1. .setopacityalpha Arrow EndArrow moveto } @@ -2549733,7 +2549797,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2179 4307 a 2179 4307 a -tx@Dict begin { 54.62898 36.36243 } PutCoor PutBegin end +tx@Dict begin { 54.62898 36.36243 } PutCoor PutBegin end 2179 4307 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.28453 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def 0.0 @@ -2549752,38 +2549816,38 @@ moveto exch arc mtrx setmatrix gsave 0.28453 SLW 0 setgray 1. .setopacityalpha 2179 4307 a tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 63.44931 71.70055 } PutCoor PutBegin end +tx@Dict begin { 63.44931 71.70055 } PutCoor PutBegin end 2179 4307 a 2155 4317 a FC(\015)2179 4307 y tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 147.669 84.78877 } PutCoor PutBegin end +tx@Dict begin { 147.669 84.78877 } PutCoor PutBegin end 2179 4307 a 2141 4335 a FY(M)2179 4307 y tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 61.1731 76.25299 } PutCoor PutBegin end +tx@Dict begin { 61.1731 76.25299 } PutCoor PutBegin end 2179 4307 a 2179 4307 a tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 59.18143 74.83035 } PutCoor PutBegin end +tx@Dict begin { 59.18143 74.83035 } PutCoor PutBegin end 2179 4307 a 2179 4307 a tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 109.82707 70.84697 } PutCoor PutBegin end +tx@Dict begin { 109.82707 70.84697 } PutCoor PutBegin end 2179 4307 a 2179 4307 a tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 62.02669 34.42766 } PutCoor PutBegin end +tx@Dict begin { 62.02669 34.42766 } PutCoor PutBegin end 2179 4307 a 2152 4324 a FC(\013)2179 4307 y tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 43.53249 63.73381 } PutCoor PutBegin end +tx@Dict begin { 43.53249 63.73381 } PutCoor PutBegin end 2179 4307 a 2152 4324 a FC(\013)2179 4307 y tx@Dict begin PutEnd end 2179 4307 @@ -2549795,13 +2549859,13 @@ false Line gsave 0.14226 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore end @endspecial 2179 4307 a -tx@Dict begin { 25.0383 66.57907 } PutCoor PutBegin end +tx@Dict begin { 25.0383 66.57907 } PutCoor PutBegin end 2179 4307 a 2148 4335 a FY(N)2179 4307 y tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 32.72049 4.26788 } PutCoor PutBegin end +tx@Dict begin { 32.72049 4.26788 } PutCoor PutBegin end 2179 4307 a 2156 4335 a FY(S)2179 4307 y tx@Dict begin PutEnd end @@ -2549816,7 +2549880,7 @@ setlinecap [ 2.84526 2.84526 ] 0 0 add DashLine grestore end 4307 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2179 4307 a 2179 4307 a -tx@Dict begin { 116.37114 71.13152 } PutCoor PutBegin end +tx@Dict begin { 116.37114 71.13152 } PutCoor PutBegin end 2179 4307 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -2549837,12 +2549901,12 @@ end tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 120.35452 79.38275 } PutCoor PutBegin end +tx@Dict begin { 120.35452 79.38275 } PutCoor PutBegin end 2179 4307 a 2159 4335 a FC(\016)2179 4307 y tx@Dict begin PutEnd end 2179 4307 a 2179 4307 a -tx@Dict begin { 46.66225 43.24794 } PutCoor PutBegin end +tx@Dict begin { 46.66225 43.24794 } PutCoor PutBegin end 2179 4307 a 2147 4335 a FY(O)2179 4307 y tx@Dict begin PutEnd end @@ -2549910,7 +2549974,7 @@ b(le)26 b(le)f(mouvement)f(p)l(articulier)i(de)f(Mars)50 (Ca\357enne)s FY(\021)e(J.)f(D.)h(Cassini,)50 3669 y(dans)21 b(\020M\351moires)g(de)h(l'A)n(cad\351mie)g(Ro)n(y)n(ale)e(des)50 3769 y(Sciences\021,)27 b(v)n(olume)g(8,)h(ann\351e)f(1730.)1240 -3739 y FW(95)-116 3897 y FY(Le)18 b(r\351sultat)g(de)h(la)f(mesure)g +3739 y FW(60)-116 3897 y FY(Le)18 b(r\351sultat)g(de)h(la)f(mesure)g (est)h(donc)f(de)h(quinze)g(secondes)-116 3997 y(d'arc.)33 b(Mais)h(atten)n(tion,)g(il)h(s'agit)e(de)h(la)g(parallaxe)f(qui)-116 4097 y(est)d(la)f(moiti\351)h(de)g(l'angle)f FC(\016)s @@ -2555114,7 +2555178,7 @@ b(qui)h(se)f(meut.)p FE(\021)p 0 TeXcolorgray 0 TeXcolorgray a FK(Figure)k(E.1)g(\025)h FJ(L)l(e)e(syst\350me)h(g\351)l(o)l(c)l (entrique)h(de)e(T)-6 b(ycho)2853 687 y(Br)l(ah\351)2544 754 y FI(Un)25 b(mo)m(d\350le)f(enc)m(or)m(e)f(actuel)3278 -729 y FH(97)3338 754 y FI(.)p 0 TeXcolorgray 2243 2364 +729 y FH(61)3338 754 y FI(.)p 0 TeXcolorgray 2243 2364 a @beginspecial 14 @llx 14 @lly 627 @urx 666 @ury 1700 @rwi @setspecial %%BeginDocument: ./Annexe-Rotations/Images/TychoSystem.eps @@ -2573551,7 +2573615,7 @@ g(p)r(osition)g(du)-116 1700 y(Soleil)d(y)h(\034gure)f(sous)f(la)i 0 TeXcolorgray 68 1978 a FK(Figure)h(E.2)g(\025)h FJ(L)l(e)e(soleil)f (dans)h(la)f(V)-6 b(oie)28 b(L)l(act\351)l(e)395 2045 y FI(R)m(epr)m(\351sentation)d(artistique)1146 2020 y -FH(99)p 0 TeXcolorgray 93 3565 a @beginspecial 14 @llx +FH(62)p 0 TeXcolorgray 93 3565 a @beginspecial 14 @llx 14 @lly 339 @urx 339 @ury 1700 @rwi @setspecial %%BeginDocument: ./Annexe-Rotations/Images/Milky_Way_2005_soleil.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -2646023,7 +2646087,7 @@ g(c'est-)1802 2670 y(\340-dire)21 b(qu'une)h(partie)g(de)g(sa)f b(sa)g(vitesse)g(de)h(rotation)e(autour)h(du)h(cen)n(tre)f(de)g(la)h (ga-)1802 2869 y(laxie.)d(Cette)h(comp)r(osan)n(te)e(v)-5 b(aut)28 b(en)n(viron)e FL(20)13 b(km)q FC(=)p FL(s)o -FY(.)3489 2839 y FW(100)1885 2969 y FY(Relev)n(ons)37 +FY(.)3489 2839 y FW(63)1885 2969 y FY(Relev)n(ons)37 b(en\034n)i(une)f(r\350gle)f(bien)i(pratique)f(p)r(our)g(la)1802 3068 y(transformation)32 b(d'unit\351)i(en)n(tre)f(les)h FL(m)q FC(=)p FL(s)f FY(et)h(les)f FL(km)q FC(=)p FL(h)p @@ -2646149,9 +2646213,9 @@ y FB(o)-33 5414 y FY(C'est)27 b(ce)h(qu'il)g(fallait)f(d\351mon)n FJ(de)h(Galil\351)l(e)1802 2289 y FI(Disc)m(ours)c(dans)h(lesquels)f (Galil\351)m(e)f(pr)m(\351sente)h(ses)g(exp)m(\351rienc)m(es)f(sur)h (la)1876 2355 y(chute)g(des)g(c)m(orps)h(et)f(fonde)i(la)f(m\351)m(c)m -(anique.)e(Il)i(tente)g(aussi)g(d'y)1953 2422 y(cr)m(\351)m(er)e(une)h -(scienc)m(e)g(de)h(la)g(r)m(\351sistanc)m(e)f(des)h(mat\351riaux)3397 -2397 y FH(102)p 0 TeXcolorgray 2010 3942 a @beginspecial +(anique.)e(Il)i(tente)g(aussi)g(d'y)1967 2422 y(cr)m(\351)m(er)e(une)i +(scienc)m(e)f(de)g(la)h(r)m(\351sistanc)m(e)f(des)h(mat\351riaux)3411 +2397 y FH(64)p 0 TeXcolorgray 2010 3942 a @beginspecial 14 @llx 14 @lly 687 @urx 687 @ury 1700 @rwi @setspecial %%BeginDocument: ./Annexe-MRUA/Images/Discorsi_e_Dimostrazioni_Matematiche.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -2657714,7 +2657778,7 @@ b FP(G)p 704 1204 2925 9 v 3628 1204 9 324 v 704 881 0 TeXcolorgray -116 2473 a FO(L)p 0 TeXcolorgray 0 TeXcolorgray -100 x FU(e)31 b(calcul)p 0 TeXcolorgray 52 w FY(ci-dessous)51 b(constitue)h(une)h(appro)r(c)n(he)46 2473 y(simpli\034\351e)22 -b(du)f(calcul)g(de)g(l'acc\351l\351ration)f(de)h(la)g(Lune)-116 +b(du)f(calcul)g(de)g(l'acc\351l\351ration)e(de)j(la)f(Lune)-116 2573 y(bas\351)33 b(sur)g(sa)g(c)n(h)n(ute)h(libre)g(sur)f(la)g(T)-7 b(erre.)33 b(Il)h(est)g(v)-5 b(alable)-116 2672 y(dans)41 b(la)f(mesure)h(d'un)h(angle)e FC(\013)i FY(tr\350s)e(p)r(etit.)j(Dans) @@ -2657747,7 +2657811,7 @@ f(lune)p 0 TeXcolorgray 2238 3458 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2238 3458 a 2238 3458 a -tx@Dict begin { 20.74193 28.42416 } PutCoor PutBegin end +tx@Dict begin { 20.74193 28.42416 } PutCoor PutBegin end 2238 3458 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.85358 SLW 0 setgray 0 360 18.32347 18.32347 0.0 0.0 0 true Ellipse @@ -2657761,7 +2657825,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2238 3458 a 2238 3458 a -tx@Dict begin { 20.79884 159.47685 } PutCoor PutBegin end +tx@Dict begin { 20.79884 159.47685 } PutCoor PutBegin end 2238 3458 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.85358 SLW 0 setgray 0 360 4.63779 4.63779 0.0 0.0 0 true Ellipse @@ -2657806,44 +2657870,44 @@ end @endspecial 2238 3458 a -tx@Dict begin { 20.7704 23.90016 } PutCoor PutBegin end +tx@Dict begin { 20.7704 23.90016 } PutCoor PutBegin end 2238 3458 a 2142 3486 a FY(T)-7 b(erre)2238 3458 y tx@Dict begin PutEnd end 2238 3458 a 2238 3458 a -tx@Dict begin { 35.8503 149.66072 } PutCoor PutBegin end +tx@Dict begin { 35.8503 149.66072 } PutCoor PutBegin end 2238 3458 a 2147 3486 a FY(Lune)2238 3458 y tx@Dict begin PutEnd end 2238 3458 a 2238 3458 a -tx@Dict begin { 69.13983 114.9485 } PutCoor PutBegin end +tx@Dict begin { 69.13983 114.9485 } PutCoor PutBegin end 2238 3458 a 1877 3478 a FY(temps)28 b(de)f(c)n(h)n(ute)h(:)f FL(1)14 b FC(s)2238 3458 y tx@Dict begin PutEnd end 2238 3458 a 2238 3458 a -tx@Dict begin { 9.67386 159.90363 } PutCoor PutBegin end +tx@Dict begin { 9.67386 159.90363 } PutCoor PutBegin end 2238 3458 a 2207 3486 a FY(A)2238 3458 y tx@Dict begin PutEnd end 2238 3458 a 2238 3458 a -tx@Dict begin { 109.25798 159.90363 } PutCoor PutBegin end +tx@Dict begin { 109.25798 159.90363 } PutCoor PutBegin end 2238 3458 a 2209 3486 a FY(B)2238 3458 y tx@Dict begin PutEnd end 2238 3458 a 2238 3458 a -tx@Dict begin { 78.8137 137.14154 } PutCoor PutBegin end +tx@Dict begin { 78.8137 137.14154 } PutCoor PutBegin end 2238 3458 a 2208 3486 a FY(C)2238 3458 y tx@Dict begin PutEnd end 2238 3458 a 2238 3458 a -tx@Dict begin { 21.624 34.14313 } PutCoor PutBegin end +tx@Dict begin { 21.624 34.14313 } PutCoor PutBegin end 2238 3458 a 2206 3486 a FY(D)2238 3458 y tx@Dict begin PutEnd end 2238 3458 a 2238 3458 a -tx@Dict begin { 34.14313 72.26959 } PutCoor PutBegin end +tx@Dict begin { 34.14313 72.26959 } PutCoor PutBegin end 2238 3458 a 2211 3476 a FC(\013)2238 3458 y tx@Dict begin PutEnd end @@ -2658038,8 +2658102,8 @@ b FP(H)p 704 1197 2925 9 v 3628 1197 9 317 v 704 881 2933 9 v -116 1612 a FS(Satellite)e(en)i(orbite)g(g\351ostationnaire)p 0 TeXcolorgray -116 2067 a FN(H.1)135 b(In)l(tro)t(duction)p 0 TeXcolorgray -116 2354 a FO(U)p 0 TeXcolorgray 0 TeXcolorgray -29 2254 a FU(n)32 b(exemple)p 0 TeXcolorgray 23 w FY(in)n(t\351ressan)n -(t)22 b(de)h(l'utilisation)g(de)h(la)e(se-)71 2354 y(conde)e(loi)h(de)g +-100 x FU(n)32 b(exemple)p 0 TeXcolorgray 23 w FY(in)n(t\351ressan)n(t) +22 b(de)h(l'utilisation)g(de)h(la)e(se-)71 2354 y(conde)e(loi)h(de)g (Newton,)g(du)g(mouv)n(emen)n(t)f(circulaire)-116 2454 y(uniforme)32 b(et)i(de)e(la)h(loi)f(de)h(la)g(gra)n(vitation)e(univ)n (erselle,)-116 2553 y(est)24 b(donn\351)g(par)f(le)h(calcul)g(de)g @@ -2658083,8 +2658147,8 @@ FG(\001)c FL(\()p FC(R)914 5354 y FB(T)985 5342 y FL(+)g FC(h)p FL(\))p 608 5379 541 4 v 848 5455 a FC(T)1527 5398 y FY(\(H.1\))p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 2322 2131 a FK(Figure)29 b(H.1)h(\025)f -FJ(Satel)6 b(lite)2296 2197 y FI(En)25 b(orbite)g(g\351)m(ostationnair) -m(e)3053 2172 y FH(104)p 0 TeXcolorgray 2010 3718 a @beginspecial +FJ(Satel)6 b(lite)2310 2197 y FI(En)25 b(orbite)g(g\351)m(ostationnair) +m(e)3067 2172 y FH(65)p 0 TeXcolorgray 2010 3718 a @beginspecial 14 @llx 14 @lly 415 @urx 415 @ury 1700 @rwi @setspecial %%BeginDocument: ./Annexe-Satellites/Images/Satellite.eps %!PS-Adobe-3.0 EPSF-3.0 @@ -2664440,8 +2664504,8 @@ TeXDict begin 199 198 bop 0 TeXcolorgray 0 TeXcolorgray -116 1104 9 224 v -116 881 437 9 v -116 1197 a FQ(Anne)m(x)m(e)62 b FP(J)p 538 1197 3091 9 v 3628 1197 9 317 v 538 881 3099 9 v -116 1612 a FS(Mar\351es)p 0 TeXcolorgray 0 -TeXcolorgray 0 TeXcolorgray 403 2091 a FK(Figure)29 b(J.1)g(\025)h -FJ(Mar)l(\351)l(e)1103 2059 y FD(106)p 0 TeXcolorgray +TeXcolorgray 0 TeXcolorgray 418 2091 a FK(Figure)29 b(J.1)g(\025)h +FJ(Mar)l(\351)l(e)1118 2059 y FD(66)p 0 TeXcolorgray 93 3267 a @beginspecial 14 @llx 14 @lly 159 @urx 123 @ury 1700 @rwi @setspecial %%BeginDocument: ./Annexe-Maree/Images/Maree.eps @@ -2677925,7 +2677989,7 @@ b(err)l(e-Lune)p 0 TeXcolorgray 337 1400 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 337 1400 a 337 1400 a -tx@Dict begin { 43.3333 43.19102 } PutCoor PutBegin end +tx@Dict begin { 43.3333 43.19102 } PutCoor PutBegin end 337 1400 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.85358 SLW 0 setgray 0 360 40.34576 40.34576 0.0 0.0 0 true Ellipse @@ -2677939,7 +2678003,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 337 1400 a 337 1400 a -tx@Dict begin { 155.63574 42.10986 } PutCoor PutBegin end +tx@Dict begin { 155.63574 42.10986 } PutCoor PutBegin end 337 1400 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.85358 SLW 0 setgray 0 360 8.82031 8.82031 0.0 0.0 0 true Ellipse @@ -2677999,7 +2678063,7 @@ load def 0 setlinejoin false Line gsave 0.42676 SLW 0 setgray 1. 337 1400 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 337 1400 a 337 1400 a -tx@Dict begin { 67.71721 41.71152 } PutCoor PutBegin end +tx@Dict begin { 67.71721 41.71152 } PutCoor PutBegin end 337 1400 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -2678012,46 +2678076,46 @@ stroke grestore end tx@Dict begin PutEnd end 337 1400 a 337 1400 a -tx@Dict begin { 42.96344 11.38104 } PutCoor PutBegin end +tx@Dict begin { 42.96344 11.38104 } PutCoor PutBegin end 337 1400 a 271 1422 a FC(M)352 1434 y FB(T)337 1400 y tx@Dict begin PutEnd end 337 1400 a 337 1400 a -tx@Dict begin { 57.47424 47.80038 } PutCoor PutBegin end +tx@Dict begin { 57.47424 47.80038 } PutCoor PutBegin end 337 1400 a 272 1428 a FC(C)6 b(G)337 1400 y tx@Dict begin PutEnd end 337 1400 a 337 1400 a -tx@Dict begin { 55.48257 28.16806 } PutCoor PutBegin end +tx@Dict begin { 55.48257 28.16806 } PutCoor PutBegin end 337 1400 a 317 1418 a FC(r)337 1400 y tx@Dict begin PutEnd end 337 1400 a 337 1400 a -tx@Dict begin { 108.1199 46.66225 } PutCoor PutBegin end +tx@Dict begin { 108.1199 46.66225 } PutCoor PutBegin end 337 1400 a 241 1419 a FC(d)284 1431 y FB(T)j Fz(\000)p FB(L)337 1400 y tx@Dict begin PutEnd end 337 1400 a 337 1400 a -tx@Dict begin { 154.2131 26.74542 } PutCoor PutBegin end +tx@Dict begin { 154.2131 26.74542 } PutCoor PutBegin end 337 1400 a 272 1422 a FC(M)353 1434 y FB(L)337 1400 y tx@Dict begin PutEnd end 337 1400 a 337 1400 a -tx@Dict begin { 36.98839 69.99342 } PutCoor PutBegin end +tx@Dict begin { 36.98839 69.99342 } PutCoor PutBegin end 337 1400 a 210 1428 a FY(Axe)28 b(de)337 1400 y tx@Dict begin PutEnd end 337 1400 a 337 1400 a -tx@Dict begin { 42.39436 61.45764 } PutCoor PutBegin end +tx@Dict begin { 42.39436 61.45764 } PutCoor PutBegin end 337 1400 a 192 1426 a FY(rotation)337 1400 y tx@Dict begin PutEnd end 337 1400 a 337 1400 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 337 1400 a 337 1400 a -tx@Dict begin { 67.71721 68.00171 } PutCoor PutBegin end +tx@Dict begin { 67.71721 68.00171 } PutCoor PutBegin end 337 1400 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -2678072,7 +2678136,7 @@ end tx@Dict begin PutEnd end 337 1400 a 337 1400 a -tx@Dict begin { 21.9085 33.00504 } PutCoor PutBegin end +tx@Dict begin { 21.9085 33.00504 } PutCoor PutBegin end 337 1400 a 279 1422 a FC(R)342 1434 y FB(T)337 1400 y tx@Dict begin PutEnd end @@ -2678139,7 +2678203,7 @@ a FK(Figure)29 b(J.3)g(\025)h FJ(Syst\350me)f(T)-6 b(err)l(e-Lune-e)l tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2255 1400 a 2255 1400 a -tx@Dict begin { 43.3333 43.19102 } PutCoor PutBegin end +tx@Dict begin { 43.3333 43.19102 } PutCoor PutBegin end 2255 1400 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.85358 SLW 0 setgray 0 360 40.34576 40.34576 0.0 0.0 0 true Ellipse @@ -2678153,7 +2678217,7 @@ tx@Dict begin PutEnd end tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2255 1400 a 2255 1400 a -tx@Dict begin { 155.63574 42.10986 } PutCoor PutBegin end +tx@Dict begin { 155.63574 42.10986 } PutCoor PutBegin end 2255 1400 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.85358 SLW 0 setgray 0 360 8.82031 8.82031 0.0 0.0 0 true Ellipse @@ -2678213,7 +2678277,7 @@ load def 0 setlinejoin false Line gsave 0.42676 SLW 0 setgray 1. 2255 1400 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2255 1400 a 2255 1400 a -tx@Dict begin { 67.71721 41.71152 } PutCoor PutBegin end +tx@Dict begin { 67.71721 41.71152 } PutCoor PutBegin end 2255 1400 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -2678226,23 +2678290,23 @@ stroke grestore end tx@Dict begin PutEnd end 2255 1400 a 2255 1400 a -tx@Dict begin { 31.5824 65.15645 } PutCoor PutBegin end +tx@Dict begin { 31.5824 65.15645 } PutCoor PutBegin end 2255 1400 a 2189 1422 a FC(M)2270 1434 y FB(T)2255 1400 y tx@Dict begin PutEnd end 2255 1400 a 2255 1400 a -tx@Dict begin { 55.19803 37.84196 } PutCoor PutBegin end +tx@Dict begin { 55.19803 37.84196 } PutCoor PutBegin end 2255 1400 a 2235 1418 a FC(r)2255 1400 y tx@Dict begin PutEnd end 2255 1400 a 2255 1400 a -tx@Dict begin { 116.65569 64.01836 } PutCoor PutBegin end +tx@Dict begin { 116.65569 64.01836 } PutCoor PutBegin end 2255 1400 a 2158 1419 a FC(d)2201 1431 y FB(T)9 b Fz(\000)p FB(L)2255 1400 y tx@Dict begin PutEnd end 2255 1400 a 2255 1400 a -tx@Dict begin { 155.63574 25.89188 } PutCoor PutBegin end +tx@Dict begin { 155.63574 25.89188 } PutCoor PutBegin end 2255 1400 a 2190 1422 a FC(M)2271 1434 y FB(L)2255 1400 y tx@Dict begin PutEnd end @@ -2678250,7 +2678314,7 @@ tx@Dict begin PutEnd end 1400 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2255 1400 a 2255 1400 a -tx@Dict begin { 67.94482 68.34317 } PutCoor PutBegin end +tx@Dict begin { 67.94482 68.34317 } PutCoor PutBegin end 2255 1400 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -2678271,7 +2678335,7 @@ end tx@Dict begin PutEnd end 2255 1400 a 2255 1400 a -tx@Dict begin { 21.9085 33.00504 } PutCoor PutBegin end +tx@Dict begin { 21.9085 33.00504 } PutCoor PutBegin end 2255 1400 a 2197 1422 a FC(R)2260 1434 y FB(T)2255 1400 y tx@Dict begin PutEnd end @@ -2678297,7 +2678361,7 @@ false Polygon gsave 0.85358 SLW 0 setgray 1. .setopacityalpha tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2255 1400 a 2255 1400 a -tx@Dict begin { 90.7638 41.82532 } PutCoor PutBegin end +tx@Dict begin { 90.7638 41.82532 } PutCoor PutBegin end 2255 1400 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.85358 SLW 0 setgray 0 360 4.55243 4.55243 0.0 0.0 0 true Ellipse @@ -2678340,19 +2678404,19 @@ end end @endspecial 2255 1400 a -tx@Dict begin { 106.98181 47.23134 } PutCoor PutBegin end +tx@Dict begin { 106.98181 47.23134 } PutCoor PutBegin end 2255 1400 a 2213 1387 a FG(\000)-65 b(!)2223 1443 y FC(R)2255 1400 y tx@Dict begin PutEnd end 2255 1400 a 2255 1400 a -tx@Dict begin { 126.04504 40.40268 } PutCoor PutBegin end +tx@Dict begin { 126.04504 40.40268 } PutCoor PutBegin end 2255 1400 a 2203 1380 a FG(\000)-44 b(!)2203 1437 y FC(F)2256 1449 y FB(L)2255 1400 y tx@Dict begin PutEnd end 2255 1400 a 2255 1400 a -tx@Dict begin { 75.96844 49.5075 } PutCoor PutBegin end +tx@Dict begin { 75.96844 49.5075 } PutCoor PutBegin end 2255 1400 a 2213 1387 a FG(\000)-65 b(!)2223 1443 y FC(P)2255 1400 y tx@Dict begin PutEnd end @@ -2678370,7 +2678434,7 @@ load def 0 setlinejoin false Line gsave 0.42676 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore end @endspecial 2255 1400 a -tx@Dict begin { 83.93518 24.18471 } PutCoor PutBegin end +tx@Dict begin { 83.93518 24.18471 } PutCoor PutBegin end 2255 1400 a 2223 1428 a FC(R)2255 1400 y tx@Dict begin PutEnd end @@ -2682609,7 +2682673,7 @@ f(de)i(rotation)e(de)2034 4318 y(la)39 b(T)-7 b(erre)38 b(est)h(p)r(erp)r(endiculaire)f(\340)h(la)g(direction)f(T)-7 b(erre-)2034 4417 y(Soleil.)34 b(Si)g(on)g(consid\350re)f(que)h(la)g (direction)f(de)h(cet)h(axe)2034 4517 y(reste)23 b(\034xe)h(dans)g -(l'espace,)f(la)h(\034gure)f(1.14,)f(page)i(30,)f(pr\351-)2034 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y(pro)n(ximativ)n(emen)n(t)38 b FL(20)13 b(MW)i(h)q FC(=)p FL(a)39 b FY(p)r(our)g(une)g(famille)h(de) -116 4834 y(trois)34 b(p)r(ersonnes,)g(on)h(a)g(une)g(couv)n(erture)e -(en)i(terme)g(de)116 4933 y(c)n(hau\033age)24 b(\340)h(distance)f(\(c)n -(hau\033age)g(et)i(eau)e(c)n(haude)h(sani-)116 5033 y(taire\))i(de)h(:) -530 5228 y FC(n)23 b FL(=)701 5172 y(60)785 5142 y Fz(0)807 -5172 y FL(000)p 701 5209 231 4 v 775 5285 a(20)965 5228 -y(=)f(3000)14 b FY(m\351nages)116 5397 y(Ce)28 b(qui)f(repr\351sen)n +116 4684 y(trois)34 b(p)r(ersonnes,)g(on)h(a)g(une)g(couv)n(erture)e +(en)i(terme)g(de)116 4784 y(c)n(hau\033age)24 b(\340)h(distance)f(\(c)n +(hau\033age)g(et)i(eau)e(c)n(haude)h(sani-)116 4884 y(taire\))i(de)h(:) +530 5114 y FC(n)23 b FL(=)701 5058 y(60)785 5028 y Fz(0)807 +5058 y FL(000)p 701 5095 231 4 v 775 5171 a(20)965 5114 +y(=)f(3000)14 b FY(m\351nages)116 5320 y(Ce)28 b(qui)f(repr\351sen)n (te)g(en)n(viron)f FL(10)h(000)f FY(p)r(ersonnes.)p 0 TeXcolorgray 0 TeXcolorgray 1930 5624 a(210)p eop end %%Page: 211 211 @@ -2871052,13 +2871116,13 @@ b(Exprimez)f(le)g(r\351-)-116 3275 y(sultat)h(en)h(notation)f(scien)n FL(33)13 b(p)r(c)p FY(.)p 0 TeXcolorgray -116 3561 a FX(Exercice)32 b(2)p 0 TeXcolorgray 41 w FY(Quelle)i(est)h(la)f (distance)h(T)-7 b(erre-Soleil)33 b(en)-116 3660 y FL(km)p -FY(,)59 b(en)g FL(ua)h FY(et)f(en)f(AL)14 b(?)59 b(En)n(tre)f(nous)h +FY(,)59 b(en)g FL(au)g FY(et)g(en)g(AL)14 b(?)59 b(En)n(tre)f(nous)h (et)g(l'\351toile)-116 3760 y(\(autre)42 b(que)h(le)g(Soleil\))g(la)g (plus)g(pro)r(c)n(he,)f(com)n(bien)h(de)-116 3859 y(fois)51 b(p)r(eut-on)h(mettre)f(cette)h(distance)14 b(?)51 b(R\351p)r(onses)g (:)-116 3959 y FL(1)p FC(;)o FL(496)17 b FG(\001)i FL(10)217 -3929 y FF(8)267 3959 y FL(km)q FY(,)27 b FL(1)14 b(ua)p -FY(,)28 b FL(16)13 b FA(\265)p FL(AL)28 b FY(et)g FL(268)1134 +3929 y FF(8)267 3959 y FL(km)q FY(,)27 b FL(1)14 b(au)p +FY(,)28 b FL(16)12 b FA(\265)q FL(AL)27 b FY(et)h FL(268)1133 3929 y Fz(0)1155 3959 y FL(228)14 b FG(\002)p FY(.)p 0 TeXcolorgray -116 4145 a FX(Exercice)32 b(3)p 0 TeXcolorgray 41 w FY(Com)n(bien)43 b(y)f(a-t-il)g(de)h(fois)g(la)f(distance)-116 @@ -2871377,14 +2871441,14 @@ b(A.2,)g(page)e(166)h(en)h(donne)g(la)f(corresp)r(ondance)2034 e(R\351p)r(onse)i(:)f FL(29)p FC(;)p FL(8)13 b(km)q FC(=)p FL(s)o FY(.)p 0 TeXcolorgray 2034 2341 a FX(Exercice)32 b(16)p 0 TeXcolorgray 41 w FY(Gr\342ce)f(\340)g(la)g(mo)r -(d\351lisation)g(par)f(ordina-)2034 2440 y(teur)d(du)h(squelette)f(et)h -(des)f(m)n(uscles)g(des)g(dinosaures)3744 2410 y FW(113)3846 -2440 y FY(,)2034 2540 y(la)32 b(longueur)f(de)h(la)g(foul\351e)f(du)i -(v)n(elo)r(ciraptor)d(a)h(\351t\351)h(\351ta-)2034 2639 -y(blie)25 b(\340)f FL(3)p FC(;)p FL(058)12 b(m)25 b FY(et)g(celle)g(du) -g(t)n(yranosaure)c(\340)k FL(9)p FC(;)o FL(559)13 b(m)p -FY(.)25 b(Le)2034 2739 y(temps)35 b(d'un)g(cycle)g(de)g(marc)n(he)e(a)i -(quan)n(t)f(\340)g(lui)i(\351t\351)f(es-)2034 2839 y(tim\351)e(\340)g +(d\351lisation)g(par)f(ordina-)2034 2440 y(teur)i(du)g(squelette)g(et)h +(des)f(m)n(uscles)f(des)h(dinosaures)3777 2410 y FW(72)3846 +2440 y FY(,)2034 2540 y(la)g(longueur)f(de)h(la)g(foul\351e)f(du)i(v)n +(elo)r(ciraptor)d(a)h(\351t\351)h(\351ta-)2034 2639 y(blie)25 +b(\340)f FL(3)p FC(;)p FL(058)12 b(m)25 b FY(et)g(celle)g(du)g(t)n +(yranosaure)c(\340)k FL(9)p FC(;)o FL(559)13 b(m)p FY(.)25 +b(Le)2034 2739 y(temps)35 b(d'un)g(cycle)g(de)g(marc)n(he)e(a)i(quan)n +(t)f(\340)g(lui)i(\351t\351)f(es-)2034 2839 y(tim\351)e(\340)g FL(0)p FC(;)o FL(284)13 b(s)32 b FY(p)r(our)g(le)h(v)n(elo)r(ciraptor)e (et)i FL(1)p FC(;)o FL(199)13 b(s)32 b FY(p)r(our)2034 2938 y(le)g(t)n(yranosaure.)e(Calculez)i(la)g(vitesse)g(de)h(ces)f @@ -2880973,56 +2881037,56 @@ translate 117 1786 a 447 1526 40 4 v 365 1550 a FL(0)p 2983 1526 V 447 1318 V 324 1342 a(20)p 2983 1318 V 447 1110 V 324 1134 a(40)p 2983 1110 V 447 -902 V 324 926 a(60)p 2983 902 V 447 694 V 324 718 a(80)p -2983 694 V 447 486 V 282 510 a(100)p 2983 486 V 447 278 -V 282 302 a(120)p 2983 278 V 447 70 V 282 94 a(140)p -2983 70 V 447 1526 4 40 v 405 1632 a(36)p 447 110 V 877 -1526 V 346 w(38)p 877 110 V 1305 1526 V 344 w(40)p 1305 -110 V 1735 1526 V 346 w(42)p 1735 110 V 2165 1526 V 346 -w(44)p 2165 110 V 2593 1526 V 344 w(46)p 2593 110 V 3023 -1526 V 346 w(48)p 3023 110 V 447 1526 4 1456 v 447 1526 -2576 4 v 3023 1526 4 1456 v 447 70 2576 4 v 1177 484 +902 V 324 926 a(60)p 2983 902 V 447 696 V 324 720 a(80)p +2983 696 V 447 488 V 282 512 a(100)p 2983 488 V 447 280 +V 282 304 a(120)p 2983 280 V 447 72 V 282 96 a(140)p +2983 72 V 447 1526 4 40 v 405 1632 a(36)p 447 112 V 877 +1526 V 346 w(38)p 877 112 V 1305 1526 V 344 w(40)p 1305 +112 V 1735 1526 V 346 w(42)p 1735 112 V 2165 1526 V 346 +w(44)p 2165 112 V 2593 1526 V 344 w(46)p 2593 112 V 3023 +1526 V 346 w(48)p 3023 112 V 447 1526 4 1454 v 447 1526 +2576 4 v 3023 1526 4 1454 v 447 72 2576 4 v 1177 486 a gsave currentpoint currentpoint translate 90 neg rotate neg exch neg exch translate - 1177 484 a 30 x FY(\311cart)f(t)n(yp)r(e)1177 484 y + 1177 486 a 30 x FY(\311cart)f(t)n(yp)r(e)1177 486 y currentpoint grestore moveto -1177 484 a 2251 88 a +1177 486 a 2251 90 a gsave currentpoint currentpoint translate -90 neg rotate neg exch neg exch translate - 2251 88 a 30 x FY(\311cart)g(t)n(yp)r(e)2251 -88 y + 2251 90 a 30 x FY(\311cart)g(t)n(yp)r(e)2251 +90 y currentpoint grestore moveto - 2251 88 a 1777 692 a + 2251 90 a 1777 694 a gsave currentpoint currentpoint translate -90 neg rotate neg exch neg exch translate - 1777 692 a 21 x FY(Mo)n(y)n(enne)1777 -692 y + 1777 694 a 21 x FY(Mo)n(y)n(enne)1777 +694 y currentpoint grestore moveto - 1777 692 a 1239 1524 4 1249 v 1241 1524 a Fa(?)p -2183 1524 V 861 w(?)p 1711 1524 V -555 w(?)205 796 y + 1777 694 a 1239 1524 4 1247 v 1241 1524 a Fa(?)p +2183 1524 V 861 w(?)p 1711 1524 V -555 w(?)205 798 y gsave currentpoint currentpoint translate 90 neg rotate neg exch neg exch translate -205 796 a -181 817 a FY(Nom)n(bre)h(de)h(baguettes)205 -796 y +205 798 a -181 819 a FY(Nom)n(bre)h(de)h(baguettes)205 +798 y currentpoint grestore moveto - 205 796 a 1150 1749 a FY(Longueur)e(des)i(baguettes)f(\(en)h -(cm\))p 769 1526 4 552 v 769 974 214 4 v 983 1526 4 552 + 205 798 a 1150 1749 a FY(Longueur)e(des)i(baguettes)f(\(en)h +(cm\))p 769 1526 4 550 v 769 976 214 4 v 983 1526 4 550 v 769 1526 214 4 v 983 1526 4 749 v 983 778 216 4 v 1199 -1526 4 749 v 983 1526 216 4 v 1199 1526 4 989 v 1199 -538 214 4 v 1413 1526 4 989 v 1199 1526 214 4 v 1413 -1526 4 1258 v 1413 268 214 4 v 1627 1526 4 1258 v 1413 -1526 214 4 v 1627 1526 4 1352 v 1627 174 216 4 v 1843 -1526 4 1352 v 1627 1526 216 4 v 1843 1526 4 1229 v 1843 -298 214 4 v 2057 1526 4 1229 v 1843 1526 214 4 v 2057 -1526 4 936 v 2057 590 214 4 v 2271 1526 4 936 v 2057 +1526 4 749 v 983 1526 216 4 v 1199 1526 4 987 v 1199 +540 214 4 v 1413 1526 4 987 v 1199 1526 214 4 v 1413 +1526 4 1256 v 1413 270 214 4 v 1627 1526 4 1256 v 1413 +1526 214 4 v 1627 1526 4 1350 v 1627 176 216 4 v 1843 +1526 4 1350 v 1627 1526 216 4 v 1843 1526 4 1227 v 1843 +300 214 4 v 2057 1526 4 1227 v 1843 1526 214 4 v 2057 +1526 4 934 v 2057 592 214 4 v 2271 1526 4 934 v 2057 1526 214 4 v 2271 1526 4 696 v 2271 830 216 4 v 2487 -1526 4 696 v 2271 1526 216 4 v 2487 1526 4 458 v 2487 -1068 214 4 v 2701 1526 4 458 v 2487 1526 214 4 v 447 -1526 4 1456 v 447 1526 2576 4 v 3023 1526 4 1456 v 447 -70 2576 4 v 117 1786 a +1526 4 696 v 2271 1526 216 4 v 2487 1526 4 456 v 2487 +1070 214 4 v 2701 1526 4 456 v 2487 1526 214 4 v 447 +1526 4 1454 v 447 1526 2576 4 v 3023 1526 4 1454 v 447 +72 2576 4 v 117 1786 a currentpoint currentpoint translate 1 0.6 div 1 0.6 div scale neg exch neg exch translate 117 1786 a 0 TeXcolorgray 116 @@ -2881578,194 +2881642,194 @@ b(l'incertitude)h(sur)g(la)f(v)-5 b(aleur)27 b(2.)1698 %%Page: 254 254 TeXDict begin 254 253 bop 0 TeXcolorgray 116 269 a FR(NOTES)3173 b(NOTES)p 116 302 3753 4 v 116 532 a FN(Notes)209 686 -y FD(2)243 709 y FE(V)-6 b(oir)15 b(le)h(site)g(du)h(t\351lescop)r(e)g +y FD(1)243 709 y FE(V)-6 b(oir)15 b(le)h(site)g(du)h(t\351lescop)r(e)g (spatial)f(Hubble)h(:)e Ff(http://hubble.)116 788 y (nasa.gov/multimedia/ast)q(ron)q(omy.)q(php)48 b FE(notammen)n(t)c(p)r (our)e(le)116 867 y(cop)n(yrigh)n(t)25 b(de)f(l'image.)f(Remerciemen)n -(ts)h(\340)g(la)f(NASA.)209 928 y FD(4)243 951 y FE(V)-6 +(ts)h(\340)g(la)f(NASA.)209 928 y FD(2)243 951 y FE(V)-6 b(oir)33 b(le)h(site)g(de)g(l'encyclop)r(\351die)h(Wikip)r(edia)f(:)f Ff(http://fr.)116 1030 y(wikipedia.org/wiki/Imag)q(e:E)q(nd_o)q(f_u)q (nive)q(rse)q(.jpg)69 b FE(notam-)116 1109 y(men)n(t)43 b(p)r(our)e(le)h(cop)n(yrigh)n(t)g(de)g(l'image.)f(Remerciemen)n(ts)h -(\340)g(la)116 1188 y(NASA.)209 1249 y FD(5)243 1273 +(\340)g(la)116 1188 y(NASA.)209 1249 y FD(3)243 1273 y FE(V)-6 b(oir)33 b(le)h(site)g(de)g(l'encyclop)r(\351die)h(Wikip)r (edia)f(:)f Ff(http://en.)116 1351 y(wikipedia.org/wiki/Imag)q(e:G)q -(iord)q(ano)q(_Bru)q(no.)q(jpg)209 1412 y FD(7)243 1436 +(iord)q(ano)q(_Bru)q(no.)q(jpg)209 1412 y FD(4)243 1436 y FE(V)-6 b(oir)51 b(le)h(site)g(de)h(l'encyclop)r(\351die)g(wikip)r (edia)f(:)f Ff(http://)116 1515 y(commons.wikimedia.org/w)q(iki)q(/Ima) -q(ge:)q(Vie_)q(du_)q(sole)q(il.)q(jpg)209 1576 y FD(9)243 +q(ge:)q(Vie_)q(du_)q(sole)q(il.)q(jpg)209 1576 y FD(5)243 1599 y FE(V)-6 b(oir)33 b(le)h(site)g(de)g(l'encyclop)r(\351die)h (Wikip)r(edia)f(:)f Ff(http://fr.)116 1678 y(wikipedia.org/wiki/Accu)q (eil)28 b FE(notammen)n(t)23 b(p)r(our)e(le)g(cop)n(yrigh)n(t)116 1757 y(de)j(l'image.)f(Remerciemen)n(ts)i(\340)e(son)h(auteur)h(Greg)f -(Go)r(eb)r(el.)178 1818 y FD(11)243 1842 y FE(V)-6 b(oir)22 +(Go)r(eb)r(el.)209 1818 y FD(6)243 1842 y FE(V)-6 b(oir)22 b(le)g(site)h(du)g(t\351lescop)r(e)h(spatial)f(Hubble)f(:)g(op)h(cit.)g -(Remer-)116 1920 y(ciemen)n(ts)i(\340)f(la)f(NASA.)178 -1982 y FD(13)243 2005 y FE(V)-6 b(oir)28 b(le)h(site)g(du)g -(t\351lescop)r(e)i(spatial)e(Hubble)g(:)g(ibid.)f(Remer-)116 -2084 y(ciemen)n(ts)d(\340)f(la)f(NASA.)178 2145 y FD(15)243 +(Remer-)116 1920 y(ciemen)n(ts)i(\340)f(la)f(NASA.)209 +1982 y FD(7)243 2005 y FE(V)-6 b(oir)28 b(le)h(site)g(du)g(t\351lescop) +r(e)i(spatial)e(Hubble)g(:)g(ibid.)f(Remer-)116 2084 +y(ciemen)n(ts)d(\340)f(la)f(NASA.)209 2145 y FD(8)243 2168 y FE(V)-6 b(oir)28 b(le)h(site)g(du)g(t\351lescop)r(e)i(spatial)e (Hubble)g(:)g(ibid.)f(Remer-)116 2247 y(ciemen)n(ts)d(\340)f(la)f -(NASA.)178 2308 y FD(16)243 2332 y FE(V)-6 b(oir)20 b(:)h +(NASA.)209 2308 y FD(9)243 2332 y FE(V)-6 b(oir)20 b(:)h Ff(http://fr.wikipedia.org/)q(wiki)q(/Pl)q(an\045C)q(3\045A)q(8tes)q(_) -116 2411 y(extrasolaires)178 2472 y FD(18)243 2495 y +116 2411 y(extrasolaires)178 2472 y FD(10)243 2495 y FE(V)-6 b(oir)55 b(le)h(site)f(de)i(Hubble)f(:)f Ff (http://hubblesite.org/)116 2574 y(newscenter/archive/rele)q(ase)q -(s/20)q(05/)q(03/i)q(mag)q(e/a/)178 2635 y FD(20)243 +(s/20)q(05/)q(03/i)q(mag)q(e/a/)178 2635 y FD(11)243 2659 y FE(V)-6 b(oir)36 b(le)h(site)g(de)g(l'encyclop)r(\351die)h (wikip)r(edia)f(:)f Ff(http://fr.)116 2737 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y(royalsocietypublishing.or)q(g/c)q(onte)q (nt/)q(274/)q(162)q(6/27)q(11)73 b FE(ou)1802 690 y(un)20 b(lien)h(\340)f(l'adresse)g Ff(http://dinonews.net/rub)q(riq)q(/art)q diff --git a/CoursMecaniqueOSDF.toc b/CoursMecaniqueOSDF.toc index 041f1e9..2ddf434 100644 --- a/CoursMecaniqueOSDF.toc +++ b/CoursMecaniqueOSDF.toc @@ -1,421 +1,421 @@ -\select@language {french} -\contentsline {chapter}{\numberline {1}Introduction}{21} -\contentsline {section}{\numberline {1.1}Du temps}{21} -\contentsline {section}{\numberline {1.2}De l'infiniment grand \IeC {\`a} l'infiniment petit}{21} -\contentsline {subsection}{\numberline {1.2.1}L'Univers}{21} -\contentsline {subsection}{\numberline {1.2.2}Les amas de galaxies}{22} -\contentsline {subsection}{\numberline {1.2.3}Les galaxies}{23} -\contentsline {subsection}{\numberline {1.2.4}Les \IeC {\'e}toiles}{24} -\contentsline {subsection}{\numberline {1.2.5}Le syst\IeC {\`e}me solaire}{24} -\contentsline {subsection}{\numberline {1.2.6}La Terre et la Lune}{26} -\contentsline {subsubsection}{La Terre}{26} -\contentsline {subsubsection}{La Lune}{27} -\contentsline {subsubsection}{Les mar\IeC {\'e}es}{29} -\contentsline {subsection}{\numberline {1.2.7}Le monde subatomique}{32} -\contentsline {subsubsection}{Conclusion}{36} -\contentsline {chapter}{\numberline {2}La cin\IeC {\'e}matique}{37} -\contentsline {section}{\numberline {2.1}Introduction}{37} -\contentsline {section}{\numberline {2.2}Position}{37} -\contentsline {subsection}{\numberline {2.2.1}Dimensions}{37} -\contentsline {subsection}{\numberline {2.2.2}Syst\IeC {\`e}me d'axes}{37} -\contentsline {subsection}{\numberline {2.2.3}Position}{37} -\contentsline {subsection}{\numberline {2.2.4}D\IeC {\'e}placement}{38} -\contentsline {subsection}{\numberline {2.2.5}Distance parcourue}{38} -\contentsline {section}{\numberline {2.3}Vitesse}{38} -\contentsline {subsection}{\numberline {2.3.1}Vitesse moyenne}{38} -\contentsline {subsection}{\numberline {2.3.2}Exemples}{38} -\contentsline {subsubsection}{Exemple 1}{38} -\contentsline {subsubsection}{Exemple 2}{38} -\contentsline {subsection}{\numberline {2.3.3}Vitesse instantan\IeC {\'e}e}{38} -\contentsline {section}{\numberline {2.4}Acc\IeC {\'e}l\IeC {\'e}ration}{39} -\contentsline {subsection}{\numberline {2.4.1}Acc\IeC {\'e}l\IeC {\'e}ration moyenne}{39} -\contentsline {subsection}{\numberline {2.4.2}Exemples}{39} -\contentsline {subsubsection}{Exemple 1}{39} -\contentsline {subsubsection}{Exemple 2}{39} -\contentsline {subsubsection}{Remarque~:}{39} -\contentsline {subsection}{\numberline {2.4.3}L'acc\IeC {\'e}l\IeC {\'e}ration instantan\IeC {\'e}e}{39} -\contentsline {section}{\numberline {2.5}Mouvements simples}{39} -\contentsline {subsection}{\numberline {2.5.1}Le mouvement rectiligne uniforme}{39} -\contentsline {subsubsection}{D\IeC {\'e}finition}{39} -\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{39} -\contentsline {subsubsection}{Un exemple~: Apollo en route vers la Lune}{40} -\contentsline {subsubsection}{Autre exemple~: le d\IeC {\'e}placement d'Androm\IeC {\`e}de}{41} -\contentsline {subsection}{\numberline {2.5.2}Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e} (MRUA)}{41} -\contentsline {subsubsection}{D\IeC {\'e}finition}{41} -\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{41} -\contentsline {subsection}{\numberline {2.5.3}La chute libre}{42} -\contentsline {paragraph}{D\IeC {\'e}finition}{42} -\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{42} -\contentsline {paragraph}{Exp\IeC {\'e}rience}{42} -\contentsline {paragraph}{Calculs}{42} -\contentsline {paragraph}{Analyse des r\IeC {\'e}sultats}{43} -\contentsline {paragraph}{Conclusions}{44} -\contentsline {subsection}{\numberline {2.5.4}Balistique}{44} -\contentsline {paragraph}{D\IeC {\'e}finition}{44} -\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{44} -\contentsline {paragraph}{\IeC {\'E}quations}{44} -\contentsline {paragraph}{Premier exemple}{45} -\contentsline {paragraph}{Second exemple}{45} -\contentsline {subsection}{\numberline {2.5.5}La chute libre ... de la Lune}{45} -\contentsline {subsection}{\numberline {2.5.6}Mouvement circulaire uniforme (MCU)}{47} -\contentsline {subsubsection}{Relation importante}{47} -\contentsline {subsection}{\numberline {2.5.7}Lois de Kepler}{48} -\contentsline {chapter}{\numberline {3}La m\IeC {\'e}canique}{51} -\contentsline {section}{\numberline {3.1}La \FB@og m\IeC {\'e}canique\fg {} d'Aristote}{51} -\contentsline {subsection}{\numberline {3.1.1}Introduction}{51} -\contentsline {subsection}{\numberline {3.1.2}Platon}{51} -\contentsline {subsection}{\numberline {3.1.3}Aristote}{52} -\contentsline {subsubsection}{Cin\IeC {\'e}matique}{52} -\contentsline {subsubsection}{Dynamique}{52} -\contentsline {section}{\numberline {3.2}M\IeC {\'e}canique de Newton}{55} -\contentsline {subsection}{\numberline {3.2.1}Introduction}{55} -\contentsline {subsection}{\numberline {3.2.2}M\IeC {\'e}canique}{55} -\contentsline {subsubsection}{Les trois lois de Newton}{55} -\contentsline {subsubsection}{Force ext\IeC {\'e}rieure}{56} -\contentsline {subsubsection}{Exemples}{57} -\contentsline {subsection}{\numberline {3.2.3}Types de forces}{57} -\contentsline {subsubsection}{Loi de la gravitation universelle}{58} -\contentsline {subsubsection}{Le poids}{58} -\contentsline {paragraph}{Exemple}{59} -\contentsline {subsubsection}{Masse et poids}{60} -\contentsline {subsubsection}{Poids apparent}{60} -\contentsline {subsubsection}{Gravitation et MCU}{62} -\contentsline {subsubsection}{Troisi\IeC {\`e}me loi de Kepler}{63} -\contentsline {subsubsection}{Les mar\IeC {\'e}es}{65} -\contentsline {subsubsection}{Le frottement}{69} -\contentsline {paragraph}{Exemple}{70} -\contentsline {subsubsection}{La force d'un ressort}{70} -\contentsline {paragraph}{Exemple}{70} -\contentsline {chapter}{\numberline {4}M\IeC {\'e}canique en plusieurs dimensions}{73} -\contentsline {section}{\numberline {4.1}Pr\IeC {\'e}liminaires}{73} -\contentsline {subsection}{\numberline {4.1.1}Dimensions}{73} -\contentsline {subsection}{\numberline {4.1.2}Syst\IeC {\`e}me d'axes}{73} -\contentsline {section}{\numberline {4.2}Notion de vecteur en physique}{73} -\contentsline {subsection}{\numberline {4.2.1}Norme d'un vecteur}{73} -\contentsline {subsection}{\numberline {4.2.2}Op\IeC {\'e}rations vectorielles}{74} -\contentsline {subsubsection}{produit scalaire}{74} -\contentsline {subsubsection}{Produit vectoriel}{74} -\contentsline {section}{\numberline {4.3}M\IeC {\'e}canique}{74} -\contentsline {subsection}{\numberline {4.3.1}Cin\IeC {\'e}matique}{74} -\contentsline {subsubsection}{Position}{74} -\contentsline {subsubsection}{Vitesse}{75} -\contentsline {subsubsection}{Acc\IeC {\'e}l\IeC {\'e}ration}{75} -\contentsline {subsection}{\numberline {4.3.2}Dynamique}{75} -\contentsline {subsubsection}{Premi\IeC {\`e}re loi}{75} -\contentsline {subsubsection}{Seconde loi}{75} -\contentsline {subsubsection}{Troisi\IeC {\`e}me loi}{75} -\contentsline {section}{\numberline {4.4}Exemples}{75} -\contentsline {subsection}{\numberline {4.4.1}Statique}{75} -\contentsline {subsection}{\numberline {4.4.2}Plan inclin\IeC {\'e}}{76} -\contentsline {subsection}{\numberline {4.4.3}Balistique}{78} -\contentsline {subsection}{\numberline {4.4.4}Mouvement circulaire uniforme~: MCU}{80} -\contentsline {subsubsection}{D\IeC {\'e}finition}{80} -\contentsline {subsubsection}{Cin\IeC {\'e}matique}{80} -\contentsline {subsubsection}{Relation importante}{81} -\contentsline {subsubsection}{Dynamique}{81} -\contentsline {subsubsection}{Virages inclin\IeC {\'e}s}{81} -\contentsline {paragraph}{Vitesses minimales}{82} -\contentsline {paragraph}{Vitesses maximales}{83} -\contentsline {subsection}{\numberline {4.4.5}Satellite en orbite g\IeC {\'e}ostationnaire}{84} -\contentsline {subsubsection}{Introduction}{84} -\contentsline {subsubsection}{Th\IeC {\'e}oriquement}{84} -\contentsline {subsubsection}{Num\IeC {\'e}riquement}{84} -\contentsline {subsection}{\numberline {4.4.6}Mouvement central}{84} -\contentsline {subsubsection}{Mouvement kepleriens}{84} -\contentsline {subsubsection}{Loi de Kepler}{84} -\contentsline {chapter}{\numberline {5}M\IeC {\'e}canique diff\IeC {\'e}rentielle}{87} -\contentsline {section}{\numberline {5.1}Introduction}{87} -\contentsline {section}{\numberline {5.2}Cin\IeC {\'e}matique}{87} -\contentsline {subsection}{\numberline {5.2.1}Exemples}{88} -\contentsline {subsubsection}{Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}~: MRUA}{88} -\contentsline {subsubsection}{Port\IeC {\'e} maximum en balistique}{88} -\contentsline {section}{\numberline {5.3}Dynamique}{89} -\contentsline {subsection}{\numberline {5.3.1}Int\IeC {\'e}gration}{89} -\contentsline {subsubsection}{Chute libre}{89} -\contentsline {subsubsection}{Freinage}{89} -\contentsline {subsection}{\numberline {5.3.2}\IeC {\'E}quation diff\IeC {\'e}rentielle}{89} -\contentsline {subsubsection}{Chute dans un fluide visqueux}{89} -\contentsline {subsubsection}{Mouvement harmonique}{91} -\contentsline {subsubsection}{Mouvement harmonique d'une masse pendante}{92} -\contentsline {subsubsection}{Mouvement non lin\IeC {\'e}aire}{93} -\contentsline {chapter}{\numberline {6}Quantit\IeC {\'e} de mouvement}{95} -\contentsline {section}{\numberline {6.1}Introduction}{95} -\contentsline {section}{\numberline {6.2}Quantit\IeC {\'e} de mouvement}{95} -\contentsline {subsection}{\numberline {6.2.1}Masse d'inertie}{95} -\contentsline {section}{\numberline {6.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{96} -\contentsline {section}{\numberline {6.4}Choc parfaitement \IeC {\'e}lastique}{96} -\contentsline {subsection}{\numberline {6.4.1}Exemple}{96} -\contentsline {section}{\numberline {6.5}Choc parfaitement mou}{97} -\contentsline {subsection}{\numberline {6.5.1}Exemple}{97} -\contentsline {section}{\numberline {6.6}choc bidimentionnel}{98} -\contentsline {subsection}{\numberline {6.6.1}Exemple}{98} -\contentsline {section}{\numberline {6.7}Impulsion}{99} -\contentsline {chapter}{\numberline {7}L'\IeC {\'e}nergie}{101} -\contentsline {section}{\numberline {7.1}Introduction}{101} -\contentsline {section}{\numberline {7.2}Travail}{101} -\contentsline {section}{\numberline {7.3}Puissance}{102} -\contentsline {section}{\numberline {7.4}\IeC {\'E}nergie potentielle}{102} -\contentsline {section}{\numberline {7.5}\IeC {\'E}nergie cin\IeC {\'e}tique}{103} -\contentsline {section}{\numberline {7.6}Th\IeC {\'e}or\IeC {\`e}me de l'\IeC {\'e}nergie cin\IeC {\'e}tique}{103} -\contentsline {section}{\numberline {7.7}Conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{103} -\contentsline {section}{\numberline {7.8}Variation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{105} -\contentsline {section}{\numberline {7.9}\IeC {\'E}nergies renouvelables}{105} -\contentsline {subsection}{\numberline {7.9.1}\IeC {\'E}nergie hydraulique}{105} -\contentsline {subsubsection}{Exemple}{106} -\contentsline {subsubsection}{Types de turbines}{107} -\contentsline {subsubsection}{Alternateur}{107} -\contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{107} -\contentsline {subsection}{\numberline {7.9.2}\IeC {\'E}nergie \IeC {\'e}olienne}{108} -\contentsline {subsection}{\numberline {7.9.3}\IeC {\'E}nergie solaire}{109} -\contentsline {subsubsection}{\IeC {\'E}nergie solaire thermique}{109} -\contentsline {subsubsection}{\IeC {\'E}nergie solaire \IeC {\'e}lectrique}{111} -\contentsline {subsection}{\numberline {7.9.4}\IeC {\'E}nergie g\IeC {\'e}othermique}{112} -\contentsline {section}{\numberline {7.10}\IeC {\'E}nergies non renouvelables}{112} -\contentsline {subsection}{\numberline {7.10.1}\IeC {\'E}nergie nucl\IeC {\'e}aire}{113} -\contentsline {subsubsection}{Fission}{113} -\contentsline {paragraph}{D\IeC {\'e}chets radioactifs}{114} -\contentsline {paragraph}{Accidents nucl\IeC {\'e}aires}{115} -\contentsline {subsubsection}{Fusion}{115} -\contentsline {subsection}{\numberline {7.10.2}\IeC {\'E}nergie de combustion~: p\IeC {\'e}trole et gaz}{115} -\contentsline {chapter}{\numberline {8}L'\IeC {\'e}nergie}{119} -\contentsline {section}{\numberline {8.1}Introduction}{119} -\contentsline {section}{\numberline {8.2}Le travail}{119} -\contentsline {subsection}{\numberline {8.2.1}Historiquement}{119} -\contentsline {subsection}{\numberline {8.2.2}D\IeC {\'e}finition}{120} -\contentsline {subsubsection}{Travail simple}{120} -\contentsline {subsubsection}{Travail et produit scalaire}{120} -\contentsline {subsubsection}{Travail cas g\IeC {\'e}n\IeC {\'e}ral}{120} -\contentsline {section}{\numberline {8.3}L'\IeC {\'e}nergie}{121} -\contentsline {subsection}{\numberline {8.3.1}Introduction}{121} -\contentsline {subsection}{\numberline {8.3.2}\IeC {\'E}nergie potentielle}{121} -\contentsline {subsection}{\numberline {8.3.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{122} -\contentsline {subsection}{\numberline {8.3.4}\IeC {\'E}nergie m\IeC {\'e}canique}{122} -\contentsline {subsection}{\numberline {8.3.5}Exemple}{122} -\contentsline {section}{\numberline {8.4}Conservation de l'\IeC {\'e}nergie}{122} -\contentsline {subsection}{\numberline {8.4.1}Introduction}{122} -\contentsline {subsection}{\numberline {8.4.2}Th\IeC {\'e}or\IeC {\`e}me de conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{122} -\contentsline {subsection}{\numberline {8.4.3}Exemples}{123} -\contentsline {section}{\numberline {8.5}Limite du th\IeC {\'e}or\IeC {\`e}me de conservation}{124} -\contentsline {section}{\numberline {8.6}Forces conservatives}{124} -\contentsline {subsection}{\numberline {8.6.1}D\IeC {\'e}finition}{124} -\contentsline {subsection}{\numberline {8.6.2}Exemples}{124} -\contentsline {subsubsection}{Le poids}{124} -\contentsline {subsubsection}{Le ressort}{125} -\contentsline {subsection}{\numberline {8.6.3}G\IeC {\'e}n\IeC {\'e}ralisation}{125} -\contentsline {subsubsection}{\IeC {\'E}nergie gravifique}{126} -\contentsline {chapter}{\numberline {9}Physique th\IeC {\'e}orique}{129} -\contentsline {section}{\numberline {9.1}Introduction}{129} -\contentsline {section}{\numberline {9.2}\IeC {\'E}nergie potentielle}{129} -\contentsline {section}{\numberline {9.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{129} -\contentsline {section}{\numberline {9.4}Quantit\IeC {\'e} de mouvement}{129} -\contentsline {section}{\numberline {9.5}Conservation de l'\IeC {\'e}nergie}{130} -\contentsline {section}{\numberline {9.6}Principe de moindre action}{130} -\contentsline {subsection}{\numberline {9.6.1}Lagrangien}{130} -\contentsline {subsection}{\numberline {9.6.2}Action}{130} -\contentsline {subsection}{\numberline {9.6.3}Minimalisation}{131} -\contentsline {section}{\numberline {9.7}Euler-Lagrange}{131} -\contentsline {chapter}{\numberline {10}Thermodynamique}{133} -\contentsline {section}{\numberline {10.1}Introduction}{133} -\contentsline {section}{\numberline {10.2}Temp\IeC {\'e}rature}{133} -\contentsline {subsection}{\numberline {10.2.1}Celsius}{133} -\contentsline {subsection}{\numberline {10.2.2}Fahrenheit}{133} -\contentsline {subsection}{\numberline {10.2.3}Kelvin}{134} -\contentsline {subsection}{\numberline {10.2.4}Agitation mol\IeC {\'e}culaire}{134} -\contentsline {section}{\numberline {10.3}Dilatation}{134} -\contentsline {section}{\numberline {10.4}Chaleur}{135} -\contentsline {subsection}{\numberline {10.4.1}Chaleur sp\IeC {\'e}cifique}{135} -\contentsline {subsection}{\numberline {10.4.2}Chaleur latente}{135} -\contentsline {section}{\numberline {10.5}\IeC {\'E}nergie thermique}{136} -\contentsline {subsection}{\numberline {10.5.1}Premier principe}{137} -\contentsline {chapter}{\numberline {11}Thermodynamique}{139} -\contentsline {section}{\numberline {11.1}Temp\IeC {\'e}rature et dilatation}{139} -\contentsline {subsection}{\numberline {11.1.1}Temp\IeC {\'e}rature}{139} -\contentsline {subsection}{\numberline {11.1.2}Dilatation}{139} -\contentsline {section}{\numberline {11.2}Chaleurs sp\IeC {\'e}cifique et latente}{141} -\contentsline {subsection}{\numberline {11.2.1}Introduction}{141} -\contentsline {subsection}{\numberline {11.2.2}Chaleur sp\IeC {\'e}cifique}{141} -\contentsline {subsubsection}{Chaleur massique}{141} -\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{142} -\contentsline {subsubsection}{Notion de mole}{142} -\contentsline {subsubsection}{Chaleur molaire}{142} -\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{143} -\contentsline {subsubsection}{Chaleur latente}{143} -\contentsline {subsubsection}{\IeC {\'E}vaporation}{143} -\contentsline {subsection}{\numberline {11.2.3}Bilan thermique}{144} -\contentsline {section}{\numberline {11.3}Loi des gaz parfaits}{145} -\contentsline {subsection}{\numberline {11.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{145} -\contentsline {subsubsection}{Pression}{145} -\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{145} -\contentsline {subsubsection}{Approche intuitive}{145} -\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{146} -\contentsline {subsection}{\numberline {11.3.2}Gaz parfait}{147} -\contentsline {section}{\numberline {11.4}Premier principe}{147} -\contentsline {subsection}{\numberline {11.4.1}Chaleur}{147} -\contentsline {subsection}{\numberline {11.4.2}Travail}{148} -\contentsline {subsection}{\numberline {11.4.3}\IeC {\'E}nergie interne}{148} -\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{149} -\contentsline {subsection}{\numberline {11.4.4}Premier principe}{149} -\contentsline {subsection}{\numberline {11.4.5}Changements d'\IeC {\'e}tats}{149} -\contentsline {subsubsection}{Transformation isobare}{150} -\contentsline {subsubsection}{Transformation isochore}{150} -\contentsline {subsubsection}{Transformation isotherme}{151} -\contentsline {subsubsection}{Transformation adiabatique}{151} -\contentsline {subsection}{\numberline {11.4.6}Chaleurs sp\IeC {\'e}cifiques}{153} -\contentsline {section}{\numberline {11.5}Machines thermiques}{154} -\contentsline {subsection}{\numberline {11.5.1}Machine simple}{154} -\contentsline {subsection}{\numberline {11.5.2}Moteur \IeC {\`a} explosion}{156} -\contentsline {subsection}{\numberline {11.5.3}Moteur Diesel}{158} -\contentsline {subsection}{\numberline {11.5.4}Machine de Stirling}{160} -\contentsline {subsection}{\numberline {11.5.5}Climatiseur}{160} -\contentsline {subsection}{\numberline {11.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{160} -\contentsline {subsection}{\numberline {11.5.7}Pompe \IeC {\`a} chaleur}{160} -\contentsline {subsection}{\numberline {11.5.8}Cycle de Carnot}{160} -\contentsline {section}{\numberline {11.6}Thermodynamique statistique}{161} -\contentsline {section}{\numberline {11.7}Second principe}{162} -\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{163} -\contentsline {section}{\numberline {A.1}Introduction}{163} -\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{163} -\contentsline {section}{\numberline {A.3}Analyse dimensionnelle}{164} -\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{165} -\contentsline {subsection}{\numberline {A.4.1}Exemple}{165} -\contentsline {section}{\numberline {A.5}Conversions}{165} -\contentsline {section}{\numberline {A.6}Sous-multiples}{166} -\contentsline {section}{\numberline {A.7}Notation scientifique}{166} -\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{167} -\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{169} -\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{169} -\contentsline {subsection}{\numberline {B.1.1}Introduction}{169} -\contentsline {subsection}{\numberline {B.1.2}Description}{169} -\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{169} -\contentsline {subsection}{\numberline {B.2.1}Introduction}{169} -\contentsline {subsection}{\numberline {B.2.2}Description}{169} -\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{170} -\contentsline {chapter}{\numberline {C}Mesures de distances}{171} -\contentsline {section}{\numberline {C.1}La taille de la Terre}{171} -\contentsline {subsection}{\numberline {C.1.1}Le principe}{171} -\contentsline {subsection}{\numberline {C.1.2}Techniquement}{172} -\contentsline {section}{\numberline {C.2}La taille de la Lune}{173} -\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{173} -\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{174} -\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{176} -\contentsline {chapter}{\numberline {D}Travaux pratiques}{177} -\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{177} -\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{178} -\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{178} -\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{178} -\contentsline {subsubsection}{But}{178} -\contentsline {subsubsection}{Th\IeC {\'e}orie}{178} -\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{178} -\contentsline {subsubsection}{R\IeC {\'e}sultats}{178} -\contentsline {subsubsection}{Discussion}{180} -\contentsline {subsubsection}{Conclusion}{180} -\contentsline {subsubsection}{Annexes}{180} -\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{181} -\contentsline {subsection}{\numberline {D.2.1}Introduction}{181} -\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{181} -\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{181} -\contentsline {subsection}{\numberline {D.2.4}Mesures}{181} -\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{181} -\contentsline {subsection}{\numberline {D.2.6}Analyse}{181} -\contentsline {section}{\numberline {D.3}Le pendule simple}{181} -\contentsline {subsection}{\numberline {D.3.1}Les mesures}{181} -\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{182} -\contentsline {section}{\numberline {D.4}Mouvement simple~: MRU}{182} -\contentsline {subsection}{\numberline {D.4.1}Les mesures}{182} -\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{182} -\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{182} -\contentsline {section}{\numberline {D.5}Mouvement simple~:\\MRUA}{182} -\contentsline {subsection}{\numberline {D.5.1}But}{182} -\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{183} -\contentsline {subsection}{\numberline {D.5.3}Les mesures}{183} -\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{183} -\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{183} -\contentsline {section}{\numberline {D.6}La chute libre}{183} -\contentsline {subsection}{\numberline {D.6.1}Cette exp\IeC {\'e}rience donnant lieu \IeC {\`a} un rapport not\IeC {\'e}, elle n'est pas d\IeC {\'e}crite.}{183} -\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{183} -\contentsline {section}{\numberline {D.7}Le canon horizontal}{183} -\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{184} -\contentsline {chapter}{\numberline {E}Rotations}{185} -\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{185} -\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{185} -\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{187} -\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{187} -\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{189} -\contentsline {section}{\numberline {F.1}La position}{189} -\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{189} -\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{189} -\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{190} -\contentsline {chapter}{\numberline {G}Chute de la Lune}{191} -\contentsline {section}{\numberline {G.1}Introduction}{191} -\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{191} -\contentsline {section}{\numberline {G.3}Force de gravitation}{192} -\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{193} -\contentsline {section}{\numberline {H.1}Introduction}{193} -\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{193} -\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{194} -\contentsline {section}{\numberline {H.4}Loi de Kepler}{194} -\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{195} -\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{195} -\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{196} -\contentsline {section}{\numberline {I.3}Invariance}{197} -\contentsline {section}{\numberline {I.4}Forces inertielles}{197} -\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{197} -\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{198} -\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{199} -\contentsline {section}{\numberline {J.1}Introduction}{199} -\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{199} -\contentsline {section}{\numberline {J.3}Force d'inertie}{200} -\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{200} -\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{200} -\contentsline {section}{\numberline {J.4}Poids relatif}{201} -\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{201} -\contentsline {section}{\numberline {J.6}Autres rythmes}{201} -\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{202} -\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{202} -\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{202} -\contentsline {subsection}{\numberline {J.6.4}Mar\IeC {\'e}es de p\IeC {\'e}rig\IeC {\'e}e et p\IeC {\'e}rih\IeC {\'e}lie}{203} -\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{203} -\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{203} -\contentsline {section}{\numberline {J.7}Limite de Roche}{203} -\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{204} -\contentsline {subsection}{\numberline {J.7.2}Exemples}{205} -\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{207} -\contentsline {section}{\numberline {K.1}Introduction}{207} -\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{207} -\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{208} -\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{208} -\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{209} -\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{209} -\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{209} -\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{209} -\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{210} -\contentsline {chapter}{\numberline {L}Exercices}{211} -\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{211} -\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{211} -\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{211} -\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{212} -\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{212} -\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{213} -\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{213} -\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{214} -\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{214} -\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{216} -\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{218} -\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{218} -\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{219} -\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{219} -\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{219} -\contentsline {section}{\numberline {L.2}Solutions}{220} -\contentsline {section}{\numberline {L.3}Solutions OS}{235} -\contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{247} -\contentsline {section}{\numberline {M.1}Ordre de grandeur}{247} -\contentsline {subsection}{\numberline {M.1.1}Chiffres significatifs}{247} -\contentsline {subsection}{\numberline {M.1.2}Ordre de grandeur}{247} -\contentsline {section}{\numberline {M.2}\IeC {\'E}cart et erreur}{248} -\contentsline {section}{\numberline {M.3}Incertitude}{250} -\contentsline {subsection}{\numberline {M.3.1}Addition/soustraction}{250} -\contentsline {subsection}{\numberline {M.3.2}Multiplication par un entier}{251} -\contentsline {subsection}{\numberline {M.3.3}Multiplication/division}{251} -\contentsline {subsection}{\numberline {M.3.4}Puissance}{252} -\contentsline {subsection}{\numberline {M.3.5}R\IeC {\'e}sum\IeC {\'e}}{252} -\contentsline {subsection}{\numberline {M.3.6}Exemples}{253} +\babel@toc {french}{} +\contentsline {chapter}{\numberline {1}Introduction}{21}% +\contentsline {section}{\numberline {1.1}Du temps}{21}% +\contentsline {section}{\numberline {1.2}De l'infiniment grand \IeC {\`a} l'infiniment petit}{21}% +\contentsline {subsection}{\numberline {1.2.1}L'Univers}{21}% +\contentsline {subsection}{\numberline {1.2.2}Les amas de galaxies}{22}% +\contentsline {subsection}{\numberline {1.2.3}Les galaxies}{23}% +\contentsline {subsection}{\numberline {1.2.4}Les \IeC {\'e}toiles}{24}% +\contentsline {subsection}{\numberline {1.2.5}Le syst\IeC {\`e}me solaire}{24}% +\contentsline {subsection}{\numberline {1.2.6}La Terre et la Lune}{27}% +\contentsline {subsubsection}{La Terre}{27}% +\contentsline {subsubsection}{La Lune}{29}% +\contentsline {subsubsection}{Les mar\IeC {\'e}es}{30}% +\contentsline {subsection}{\numberline {1.2.7}Le monde subatomique}{32}% +\contentsline {subsubsection}{Conclusion}{36}% +\contentsline {chapter}{\numberline {2}La cin\IeC {\'e}matique}{37}% +\contentsline {section}{\numberline {2.1}Introduction}{37}% +\contentsline {section}{\numberline {2.2}Position}{37}% +\contentsline {subsection}{\numberline {2.2.1}Dimensions}{37}% +\contentsline {subsection}{\numberline {2.2.2}Syst\IeC {\`e}me d'axes}{37}% +\contentsline {subsection}{\numberline {2.2.3}Position}{37}% +\contentsline {subsection}{\numberline {2.2.4}D\IeC {\'e}placement}{38}% +\contentsline {subsection}{\numberline {2.2.5}Distance parcourue}{38}% +\contentsline {section}{\numberline {2.3}Vitesse}{38}% +\contentsline {subsection}{\numberline {2.3.1}Vitesse moyenne}{38}% +\contentsline {subsection}{\numberline {2.3.2}Exemples}{38}% +\contentsline {subsubsection}{Exemple 1}{38}% +\contentsline {subsubsection}{Exemple 2}{38}% +\contentsline {subsection}{\numberline {2.3.3}Vitesse instantan\IeC {\'e}e}{38}% +\contentsline {section}{\numberline {2.4}Acc\IeC {\'e}l\IeC {\'e}ration}{39}% +\contentsline {subsection}{\numberline {2.4.1}Acc\IeC {\'e}l\IeC {\'e}ration moyenne}{39}% +\contentsline {subsection}{\numberline {2.4.2}Exemples}{39}% +\contentsline {subsubsection}{Exemple 1}{39}% +\contentsline {subsubsection}{Exemple 2}{39}% +\contentsline {subsubsection}{Remarque~:}{39}% +\contentsline {subsection}{\numberline {2.4.3}L'acc\IeC {\'e}l\IeC {\'e}ration instantan\IeC {\'e}e}{39}% +\contentsline {section}{\numberline {2.5}Mouvements simples}{39}% +\contentsline {subsection}{\numberline {2.5.1}Le mouvement rectiligne uniforme}{39}% +\contentsline {subsubsection}{D\IeC {\'e}finition}{39}% +\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{39}% +\contentsline {subsubsection}{Un exemple~: Apollo en route vers la Lune}{40}% +\contentsline {subsubsection}{Autre exemple~: le d\IeC {\'e}placement d'Androm\IeC {\`e}de}{41}% +\contentsline {subsection}{\numberline {2.5.2}Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e} (MRUA)}{41}% +\contentsline {subsubsection}{D\IeC {\'e}finition}{41}% +\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{41}% +\contentsline {subsection}{\numberline {2.5.3}La chute libre}{42}% +\contentsline {paragraph}{D\IeC {\'e}finition}{42}% +\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{42}% +\contentsline {paragraph}{Exp\IeC {\'e}rience}{42}% +\contentsline {paragraph}{Calculs}{42}% +\contentsline {paragraph}{Analyse des r\IeC {\'e}sultats}{43}% +\contentsline {paragraph}{Conclusions}{44}% +\contentsline {subsection}{\numberline {2.5.4}Balistique}{44}% +\contentsline {paragraph}{D\IeC {\'e}finition}{44}% +\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{44}% +\contentsline {paragraph}{\IeC {\'E}quations}{44}% +\contentsline {paragraph}{Premier exemple}{45}% +\contentsline {paragraph}{Second exemple}{45}% +\contentsline {subsection}{\numberline {2.5.5}La chute libre ... de la Lune}{45}% +\contentsline {subsection}{\numberline {2.5.6}Mouvement circulaire uniforme (MCU)}{47}% +\contentsline {subsubsection}{Relation importante}{47}% +\contentsline {subsection}{\numberline {2.5.7}Lois de Kepler}{48}% +\contentsline {chapter}{\numberline {3}La m\IeC {\'e}canique}{51}% +\contentsline {section}{\numberline {3.1}La \FB@og m\IeC {\'e}canique\fg {} d'Aristote}{51}% +\contentsline {subsection}{\numberline {3.1.1}Introduction}{51}% +\contentsline {subsection}{\numberline {3.1.2}Platon}{51}% +\contentsline {subsection}{\numberline {3.1.3}Aristote}{52}% +\contentsline {subsubsection}{Cin\IeC {\'e}matique}{52}% +\contentsline {subsubsection}{Dynamique}{52}% +\contentsline {section}{\numberline {3.2}M\IeC {\'e}canique de Newton}{55}% +\contentsline {subsection}{\numberline {3.2.1}Introduction}{55}% +\contentsline {subsection}{\numberline {3.2.2}M\IeC {\'e}canique}{55}% +\contentsline {subsubsection}{Les trois lois de Newton}{55}% +\contentsline {subsubsection}{Force ext\IeC {\'e}rieure}{56}% +\contentsline {subsubsection}{Exemples}{57}% +\contentsline {subsection}{\numberline {3.2.3}Types de forces}{57}% +\contentsline {subsubsection}{Loi de la gravitation universelle}{58}% +\contentsline {subsubsection}{Le poids}{58}% +\contentsline {paragraph}{Exemple}{59}% +\contentsline {subsubsection}{Masse et poids}{60}% +\contentsline {subsubsection}{Poids apparent}{60}% +\contentsline {subsubsection}{Gravitation et MCU}{62}% +\contentsline {subsubsection}{Troisi\IeC {\`e}me loi de Kepler}{63}% +\contentsline {subsubsection}{Les mar\IeC {\'e}es}{65}% +\contentsline {subsubsection}{Le frottement}{69}% +\contentsline {paragraph}{Exemple}{70}% +\contentsline {subsubsection}{La force d'un ressort}{70}% +\contentsline {paragraph}{Exemple}{70}% +\contentsline {chapter}{\numberline {4}M\IeC {\'e}canique en plusieurs dimensions}{73}% +\contentsline {section}{\numberline {4.1}Pr\IeC {\'e}liminaires}{73}% +\contentsline {subsection}{\numberline {4.1.1}Dimensions}{73}% +\contentsline {subsection}{\numberline {4.1.2}Syst\IeC {\`e}me d'axes}{73}% +\contentsline {section}{\numberline {4.2}Notion de vecteur en physique}{73}% +\contentsline {subsection}{\numberline {4.2.1}Norme d'un vecteur}{73}% +\contentsline {subsection}{\numberline {4.2.2}Op\IeC {\'e}rations vectorielles}{74}% +\contentsline {subsubsection}{produit scalaire}{74}% +\contentsline {subsubsection}{Produit vectoriel}{74}% +\contentsline {section}{\numberline {4.3}M\IeC {\'e}canique}{74}% +\contentsline {subsection}{\numberline {4.3.1}Cin\IeC {\'e}matique}{74}% +\contentsline {subsubsection}{Position}{74}% +\contentsline {subsubsection}{Vitesse}{75}% +\contentsline {subsubsection}{Acc\IeC {\'e}l\IeC {\'e}ration}{75}% +\contentsline {subsection}{\numberline {4.3.2}Dynamique}{75}% +\contentsline {subsubsection}{Premi\IeC {\`e}re loi}{75}% +\contentsline {subsubsection}{Seconde loi}{75}% +\contentsline {subsubsection}{Troisi\IeC {\`e}me loi}{75}% +\contentsline {section}{\numberline {4.4}Exemples}{75}% +\contentsline {subsection}{\numberline {4.4.1}Statique}{75}% +\contentsline {subsection}{\numberline {4.4.2}Plan inclin\IeC {\'e}}{76}% +\contentsline {subsection}{\numberline {4.4.3}Balistique}{78}% +\contentsline {subsection}{\numberline {4.4.4}Mouvement circulaire uniforme~: MCU}{80}% +\contentsline {subsubsection}{D\IeC {\'e}finition}{80}% +\contentsline {subsubsection}{Cin\IeC {\'e}matique}{80}% +\contentsline {subsubsection}{Relation importante}{81}% +\contentsline {subsubsection}{Dynamique}{81}% +\contentsline {subsubsection}{Virages inclin\IeC {\'e}s}{81}% +\contentsline {paragraph}{Vitesses minimales}{82}% +\contentsline {paragraph}{Vitesses maximales}{83}% +\contentsline {subsection}{\numberline {4.4.5}Satellite en orbite g\IeC {\'e}ostationnaire}{84}% +\contentsline {subsubsection}{Introduction}{84}% +\contentsline {subsubsection}{Th\IeC {\'e}oriquement}{84}% +\contentsline {subsubsection}{Num\IeC {\'e}riquement}{84}% +\contentsline {subsection}{\numberline {4.4.6}Mouvement central}{84}% +\contentsline {subsubsection}{Mouvement kepleriens}{84}% +\contentsline {subsubsection}{Loi de Kepler}{84}% +\contentsline {chapter}{\numberline {5}M\IeC {\'e}canique diff\IeC {\'e}rentielle}{87}% +\contentsline {section}{\numberline {5.1}Introduction}{87}% +\contentsline {section}{\numberline {5.2}Cin\IeC {\'e}matique}{87}% +\contentsline {subsection}{\numberline {5.2.1}Exemples}{88}% +\contentsline {subsubsection}{Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}~: MRUA}{88}% +\contentsline {subsubsection}{Port\IeC {\'e} maximum en balistique}{88}% +\contentsline {section}{\numberline {5.3}Dynamique}{89}% +\contentsline {subsection}{\numberline {5.3.1}Int\IeC {\'e}gration}{89}% +\contentsline {subsubsection}{Chute libre}{89}% +\contentsline {subsubsection}{Freinage}{89}% +\contentsline {subsection}{\numberline {5.3.2}\IeC {\'E}quation diff\IeC {\'e}rentielle}{89}% +\contentsline {subsubsection}{Chute dans un fluide visqueux}{89}% +\contentsline {subsubsection}{Mouvement harmonique}{91}% +\contentsline {subsubsection}{Mouvement harmonique d'une masse pendante}{92}% +\contentsline {subsubsection}{Mouvement non lin\IeC {\'e}aire}{93}% +\contentsline {chapter}{\numberline {6}Quantit\IeC {\'e} de mouvement}{95}% +\contentsline {section}{\numberline {6.1}Introduction}{95}% +\contentsline {section}{\numberline {6.2}Quantit\IeC {\'e} de mouvement}{95}% +\contentsline {subsection}{\numberline {6.2.1}Masse d'inertie}{95}% +\contentsline {section}{\numberline {6.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{96}% +\contentsline {section}{\numberline {6.4}Choc parfaitement \IeC {\'e}lastique}{96}% +\contentsline {subsection}{\numberline {6.4.1}Exemple}{96}% +\contentsline {section}{\numberline {6.5}Choc parfaitement mou}{97}% +\contentsline {subsection}{\numberline {6.5.1}Exemple}{97}% +\contentsline {section}{\numberline {6.6}choc bidimentionnel}{98}% +\contentsline {subsection}{\numberline {6.6.1}Exemple}{98}% +\contentsline {section}{\numberline {6.7}Impulsion}{99}% +\contentsline {chapter}{\numberline {7}L'\IeC {\'e}nergie}{101}% +\contentsline {section}{\numberline {7.1}Introduction}{101}% +\contentsline {section}{\numberline {7.2}Travail}{101}% +\contentsline {section}{\numberline {7.3}Puissance}{102}% +\contentsline {section}{\numberline {7.4}\IeC {\'E}nergie potentielle}{102}% +\contentsline {section}{\numberline {7.5}\IeC {\'E}nergie cin\IeC {\'e}tique}{103}% +\contentsline {section}{\numberline {7.6}Th\IeC {\'e}or\IeC {\`e}me de l'\IeC {\'e}nergie cin\IeC {\'e}tique}{103}% +\contentsline {section}{\numberline {7.7}Conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{103}% +\contentsline {section}{\numberline {7.8}Variation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{105}% +\contentsline {section}{\numberline {7.9}\IeC {\'E}nergies renouvelables}{105}% +\contentsline {subsection}{\numberline {7.9.1}\IeC {\'E}nergie hydraulique}{105}% +\contentsline {subsubsection}{Exemple}{106}% +\contentsline {subsubsection}{Types de turbines}{107}% +\contentsline {subsubsection}{Alternateur}{107}% +\contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{107}% +\contentsline {subsection}{\numberline {7.9.2}\IeC {\'E}nergie \IeC {\'e}olienne}{108}% +\contentsline {subsection}{\numberline {7.9.3}\IeC {\'E}nergie solaire}{109}% +\contentsline {subsubsection}{\IeC {\'E}nergie solaire thermique}{109}% +\contentsline {subsubsection}{\IeC {\'E}nergie solaire \IeC {\'e}lectrique}{111}% +\contentsline {subsection}{\numberline {7.9.4}\IeC {\'E}nergie g\IeC {\'e}othermique}{112}% +\contentsline {section}{\numberline {7.10}\IeC {\'E}nergies non renouvelables}{112}% +\contentsline {subsection}{\numberline {7.10.1}\IeC {\'E}nergie nucl\IeC {\'e}aire}{113}% +\contentsline {subsubsection}{Fission}{113}% +\contentsline {paragraph}{D\IeC {\'e}chets radioactifs}{114}% +\contentsline {paragraph}{Accidents nucl\IeC {\'e}aires}{115}% +\contentsline {subsubsection}{Fusion}{115}% +\contentsline {subsection}{\numberline {7.10.2}\IeC {\'E}nergie de combustion~: p\IeC {\'e}trole et gaz}{115}% +\contentsline {chapter}{\numberline {8}L'\IeC {\'e}nergie}{119}% +\contentsline {section}{\numberline {8.1}Introduction}{119}% +\contentsline {section}{\numberline {8.2}Le travail}{119}% +\contentsline {subsection}{\numberline {8.2.1}Historiquement}{119}% +\contentsline {subsection}{\numberline {8.2.2}D\IeC {\'e}finition}{120}% +\contentsline {subsubsection}{Travail simple}{120}% +\contentsline {subsubsection}{Travail et produit scalaire}{120}% +\contentsline {subsubsection}{Travail cas g\IeC {\'e}n\IeC {\'e}ral}{120}% +\contentsline {section}{\numberline {8.3}L'\IeC {\'e}nergie}{121}% +\contentsline {subsection}{\numberline {8.3.1}Introduction}{121}% +\contentsline {subsection}{\numberline {8.3.2}\IeC {\'E}nergie potentielle}{121}% +\contentsline {subsection}{\numberline {8.3.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{122}% +\contentsline {subsection}{\numberline {8.3.4}\IeC {\'E}nergie m\IeC {\'e}canique}{122}% +\contentsline {subsection}{\numberline {8.3.5}Exemple}{122}% +\contentsline {section}{\numberline {8.4}Conservation de l'\IeC {\'e}nergie}{122}% +\contentsline {subsection}{\numberline {8.4.1}Introduction}{122}% +\contentsline {subsection}{\numberline {8.4.2}Th\IeC {\'e}or\IeC {\`e}me de conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{122}% +\contentsline {subsection}{\numberline {8.4.3}Exemples}{123}% +\contentsline {section}{\numberline {8.5}Limite du th\IeC {\'e}or\IeC {\`e}me de conservation}{124}% +\contentsline {section}{\numberline {8.6}Forces conservatives}{124}% +\contentsline {subsection}{\numberline {8.6.1}D\IeC {\'e}finition}{124}% +\contentsline {subsection}{\numberline {8.6.2}Exemples}{124}% +\contentsline {subsubsection}{Le poids}{124}% +\contentsline {subsubsection}{Le ressort}{125}% +\contentsline {subsection}{\numberline {8.6.3}G\IeC {\'e}n\IeC {\'e}ralisation}{125}% +\contentsline {subsubsection}{\IeC {\'E}nergie gravifique}{126}% +\contentsline {chapter}{\numberline {9}Physique th\IeC {\'e}orique}{129}% +\contentsline {section}{\numberline {9.1}Introduction}{129}% +\contentsline {section}{\numberline {9.2}\IeC {\'E}nergie potentielle}{129}% +\contentsline {section}{\numberline {9.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{129}% +\contentsline {section}{\numberline {9.4}Quantit\IeC {\'e} de mouvement}{129}% +\contentsline {section}{\numberline {9.5}Conservation de l'\IeC {\'e}nergie}{130}% +\contentsline {section}{\numberline {9.6}Principe de moindre action}{130}% +\contentsline {subsection}{\numberline {9.6.1}Lagrangien}{130}% +\contentsline {subsection}{\numberline {9.6.2}Action}{130}% +\contentsline {subsection}{\numberline {9.6.3}Minimalisation}{131}% +\contentsline {section}{\numberline {9.7}Euler-Lagrange}{131}% +\contentsline {chapter}{\numberline {10}Thermodynamique}{133}% +\contentsline {section}{\numberline {10.1}Introduction}{133}% +\contentsline {section}{\numberline {10.2}Temp\IeC {\'e}rature}{133}% +\contentsline {subsection}{\numberline {10.2.1}Celsius}{133}% +\contentsline {subsection}{\numberline {10.2.2}Fahrenheit}{133}% +\contentsline {subsection}{\numberline {10.2.3}Kelvin}{134}% +\contentsline {subsection}{\numberline {10.2.4}Agitation mol\IeC {\'e}culaire}{134}% +\contentsline {section}{\numberline {10.3}Dilatation}{134}% +\contentsline {section}{\numberline {10.4}Chaleur}{135}% +\contentsline {subsection}{\numberline {10.4.1}Chaleur sp\IeC {\'e}cifique}{135}% +\contentsline {subsection}{\numberline {10.4.2}Chaleur latente}{135}% +\contentsline {section}{\numberline {10.5}\IeC {\'E}nergie thermique}{136}% +\contentsline {subsection}{\numberline {10.5.1}Premier principe}{137}% +\contentsline {chapter}{\numberline {11}Thermodynamique}{139}% +\contentsline {section}{\numberline {11.1}Temp\IeC {\'e}rature et dilatation}{139}% +\contentsline {subsection}{\numberline {11.1.1}Temp\IeC {\'e}rature}{139}% +\contentsline {subsection}{\numberline {11.1.2}Dilatation}{139}% +\contentsline {section}{\numberline {11.2}Chaleurs sp\IeC {\'e}cifique et latente}{141}% +\contentsline {subsection}{\numberline {11.2.1}Introduction}{141}% +\contentsline {subsection}{\numberline {11.2.2}Chaleur sp\IeC {\'e}cifique}{141}% +\contentsline {subsubsection}{Chaleur massique}{141}% +\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{142}% +\contentsline {subsubsection}{Notion de mole}{142}% +\contentsline {subsubsection}{Chaleur molaire}{142}% +\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{143}% +\contentsline {subsubsection}{Chaleur latente}{143}% +\contentsline {subsubsection}{\IeC {\'E}vaporation}{143}% +\contentsline {subsection}{\numberline {11.2.3}Bilan thermique}{144}% +\contentsline {section}{\numberline {11.3}Loi des gaz parfaits}{145}% +\contentsline {subsection}{\numberline {11.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{145}% +\contentsline {subsubsection}{Pression}{145}% +\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{145}% +\contentsline {subsubsection}{Approche intuitive}{145}% +\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{146}% +\contentsline {subsection}{\numberline {11.3.2}Gaz parfait}{147}% +\contentsline {section}{\numberline {11.4}Premier principe}{147}% +\contentsline {subsection}{\numberline {11.4.1}Chaleur}{147}% +\contentsline {subsection}{\numberline {11.4.2}Travail}{148}% +\contentsline {subsection}{\numberline {11.4.3}\IeC {\'E}nergie interne}{148}% +\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{149}% +\contentsline {subsection}{\numberline {11.4.4}Premier principe}{149}% +\contentsline {subsection}{\numberline {11.4.5}Changements d'\IeC {\'e}tats}{149}% +\contentsline {subsubsection}{Transformation isobare}{150}% +\contentsline {subsubsection}{Transformation isochore}{150}% +\contentsline {subsubsection}{Transformation isotherme}{151}% +\contentsline {subsubsection}{Transformation adiabatique}{151}% +\contentsline {subsection}{\numberline {11.4.6}Chaleurs sp\IeC {\'e}cifiques}{153}% +\contentsline {section}{\numberline {11.5}Machines thermiques}{154}% +\contentsline {subsection}{\numberline {11.5.1}Machine simple}{154}% +\contentsline {subsection}{\numberline {11.5.2}Moteur \IeC {\`a} explosion}{156}% +\contentsline {subsection}{\numberline {11.5.3}Moteur Diesel}{158}% +\contentsline {subsection}{\numberline {11.5.4}Machine de Stirling}{160}% +\contentsline {subsection}{\numberline {11.5.5}Climatiseur}{160}% +\contentsline {subsection}{\numberline {11.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{160}% +\contentsline {subsection}{\numberline {11.5.7}Pompe \IeC {\`a} chaleur}{160}% +\contentsline {subsection}{\numberline {11.5.8}Cycle de Carnot}{160}% +\contentsline {section}{\numberline {11.6}Thermodynamique statistique}{161}% +\contentsline {section}{\numberline {11.7}Second principe}{162}% +\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{163}% +\contentsline {section}{\numberline {A.1}Introduction}{163}% +\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{163}% +\contentsline {section}{\numberline {A.3}Analyse dimensionnelle}{164}% +\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{165}% +\contentsline {subsection}{\numberline {A.4.1}Exemple}{165}% +\contentsline {section}{\numberline {A.5}Conversions}{165}% +\contentsline {section}{\numberline {A.6}Sous-multiples}{166}% +\contentsline {section}{\numberline {A.7}Notation scientifique}{166}% +\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{167}% +\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{169}% +\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{169}% +\contentsline {subsection}{\numberline {B.1.1}Introduction}{169}% +\contentsline {subsection}{\numberline {B.1.2}Description}{169}% +\contentsline 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+\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{178}% +\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{178}% +\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{178}% +\contentsline {subsubsection}{But}{178}% +\contentsline {subsubsection}{Th\IeC {\'e}orie}{178}% +\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{178}% +\contentsline {subsubsection}{R\IeC {\'e}sultats}{178}% +\contentsline {subsubsection}{Discussion}{180}% +\contentsline {subsubsection}{Conclusion}{180}% +\contentsline {subsubsection}{Annexes}{180}% +\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{181}% +\contentsline {subsection}{\numberline {D.2.1}Introduction}{181}% +\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{181}% +\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{181}% +\contentsline {subsection}{\numberline {D.2.4}Mesures}{181}% +\contentsline 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tout renseignement complémentaire s'adresser à~: \begin{center}vincent@cvgg.org\end{center} \bigskip{} -\begin{center}\textbf{Copyright 2007 Guyot Vincent}\end{center} +\begin{center}\textbf{Copyright \the\year{} Guyot Vincent}\end{center} \begin{center}Permission vous est donnée de copier, distribuer et/ou modifier ce document selon les termes de la Licence GNU Free Documentation License, Version 1.1 ou ultérieure publiée par la Free Software Fundation ; avec les sections inaltérables suivantes~:\end{center} diff --git a/QtiteMvt/QtiteMvt.aux b/QtiteMvt/QtiteMvt.aux index 2c3a67a..f8005df 100644 --- a/QtiteMvt/QtiteMvt.aux +++ b/QtiteMvt/QtiteMvt.aux @@ -1,36 +1,36 @@ \relax -\@writefile{toc}{\contentsline {chapter}{\numberline {6}Quantit\IeC {\'e} de mouvement}{95}} +\@writefile{toc}{\contentsline {chapter}{\numberline {6}Quantit\IeC {\'e} de mouvement}{95}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} 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On choisit un système d'axes vertical et horizontal dirigé vers le haut et dans le sens de l'accélération. - + Les forces extérieures exercées sur la masse sont au nombre de trois~: son poids P, la réaction du plan R et la force F. \begin{figure}[ht] \caption[Force inclinée]{Une force inclinée}\label{forceinclinee} @@ -11,7 +11,7 @@ \end{center} \end{figure} La figure \ref{forceinclinee} présente la situation. On peut y voir les trois forces extérieures et, en rouge , la décomposition de la force F en ses composantes sur les axes (remarquez qu'on a représenté les composantes par des vecteurs, ce qui est courant en physique lors de la décomposition de forces parce qu'on peut alors comprendre celle-ci comme un remplacement de la force F par deux forces qui en forment la somme). - + L'équation de Newton sous forme vectorielle donne alors les équations du mouvement en composantes~: \begin{align*} \sum \overrightarrow{F}^{ext}=\overrightarrow{R}+\overrightarrow{P}+\overrightarrow{F}&=m\cdot \overrightarrow{a}\;\Rightarrow\\[0.8em] @@ -19,7 +19,7 @@ R-P-F_y&=0 \end{align*} car l'accélération selon l'axe y est nulle puisque la masse ne se déplace par sur cet axe. - + En considérant le triangle formé par la force F, sa composante sur l'axe x et l'angle \(\alpha\), on peut écrire~: \[F_x=F\cdot \cos(\alpha)\;\;\text{et}\;\;F_y=F\cdot \sin(\alpha)\] et à l'aide de la définition du poids (\(P=m\cdot g\)), préciser les équations du mouvement~: @@ -53,7 +53,7 @@ F_y+R_y-P&=0 \end{align*} car le système est statique et l'accélération nulle. - + En considérant que le poids \(P=m\cdot g\) et les triangles d'angles au sommet \(\alpha\) et \(\beta\), grâce à la trigonométrie, on peut écrire~: \[F_x=F\cdot \cos(\beta)\;\;\textbf{et}\;\;R_x=R\cdot \cos(\alpha)\] et préciser les équations du mouvement~: @@ -78,9 +78,9 @@ \end{Solution OS} \begin{Solution OS}{3} On commence par choisir le système. Pour éviter de devoir calculer la tension dans la corde, on le choisit comme constitué de la corde et des deux masses M et m. - + Les forces extérieures sont alors au nombre de trois. Le plan horizontal exerce sur la masse M une force de soutient verticale égale et opposée à son poids (mais qui ne sont pas l'action et la réaction l'une de l'autre), puisque la masse se déplace horizontalement. Ces deux forces s'annulent donc. Reste le poids de la masse m, seule force extérieure à agir pour accélérer le système. - + On peut donc écrire, selon la seconde loi de Newton~: \[\sum F^{ext}=m\cdot g=(M+m)\cdot a\] où M+m est la masse du système. Ainsi, finalement, on peut calculer la valeur de l'accélération~: @@ -99,9 +99,9 @@ \end{Solution OS} \begin{Solution OS}{4} Deux forces agissent ici~: la réaction du plan, qui lui est normale (c'est-à-dire perpendiculaire), et le poids de la masse. Comme la réaction du plan n'a aucune composante parallèlement au plan, elle ne peut être responsable de l'accélération de la masse le long de celui-ci. - + Il faut donc trouver la composante du poids qui est parallèle au plan incliné. L'angle entre le poids et un plan horizontal est de \SI{90}{\degree}. Quand le plan est incliné, cet angle diminue de la valeur de l'inclinaison. L'angle \(\beta\) entre le plan incliné et le poids et donc \(\beta=90-\alpha\). - + Comme la projection du poids selon l'angle \(\beta\) correspond à sa composante parallèle au plan, dans le triangle rectangle composé du poids comme hypoténuse et de ses composantes parallèle et perpendiculaire au plan, la composante parallèle au plan correspond au côté adjacent. Ainsi, on peut écrire~: \begin{align*} P_{//}&=P\cdot\cos(\beta)=P\cdot\cos(90-\alpha)\\ @@ -116,7 +116,7 @@ \end{align*} Avec une vitesse initiale nulle, pour un MRUA d'accélération calculée ci-dessus, la vitesse au bout d'un temps t=\SI{2}{\second} s'obtient par~: \[v=a\cdot t+v_0=3,36\cdot 2=\SI{9,72}{\metre\per\second}\] - + \medskip Une autre manière de résoudre le problème est de procéder avec méthode. Le système qu'on doit choisir est bien évidemment la masse m, puisque c'est de celle-ci qu'on cherche l'accélération pour en trouver la vitesse au bout de \SI{2}{\second}. \begin{figure}[ht] @@ -126,17 +126,17 @@ \def\svgwidth{5cm} \input{Annexe-Exercices/Images/incline.eps_tex} \end{figure} - + La figure \ref{incline} présente ensuite le dessin des forces extérieures et le choix du système d'axes. Remarquez que ce dernier l'a été selon l'inclinaison du plan. Il aurait pu ne pas en être ainsi, mais ce choix simplifie les calculs, car la masse étant contrainte à se déplacer le long du plan, son accélération perpendiculairement est nulle. Les équations de la seconde loi de Newton, obtenues par projection des forces extérieures et de l'accélération selon les axes, peuvent alors s'écrire~: \begin{align*} \sum F^{ext}_x&=P_x=m\cdot a_x &\text{sur l'axe x}\\ \sum F^{ext}_y&=R-P_y=m\cdot a_y=0 &\text{sur l'axe y} \end{align*} car l'accélération perpendiculairement au plan est nulle, comme déjà mentionné. - + \smallskip Si on considère l'angle \(\alpha\), en s'imaginant le plan incliné horizontal, on comprends qu'il se reporte entre le vecteur poids \(\overleftarrow{P}\) et sa composante selon y \(P_y\). - + Avec le triangle rectangle formé par le poids et ses composantes et un peu de trigonométrie, on peut en déduire~: \begin{align*} P_x &= P\cdot \sin(\alpha)\\ @@ -152,27 +152,27 @@ a=a_x&=g\cdot \sin(\alpha)\\ &=9,81\cdot\sin(20)=\SI{3,36}{\metre\per\second\squared} \end{align*} - + \smallskip Mais une information supplémentaire nous est donnée par la seconde équation, c'est la valeur de la réaction R au plan~: \begin{align*} R&=m\cdot g\cdot \cos(\alpha)\\ &=3\cdot 9,81\cdot \cos(20)=\SI{27,67}{\newton} \end{align*} - + \smallskip - Ensuite, le problème se résout de la même manière que précédemment. + Ensuite, le problème se résout de la même manière que précédemment. \end{Solution OS} \begin{Solution OS}{5} Le problème peut paraître complexe du fait de la présence de deux objets distincts se déplaçant selon deux axes différents. Pourtant, le fait que la corde soit inextensible fait de l'ensemble des deux masse et de la corde un système se déplaçant avec la même accélération. De plus, pour autant qu'on considère correctement l'action des forces sur chaque masse, on peut s'imaginer ce système se déplaçant d'un bloc horizontalement. - + \smallskip Comme on ne connaît pas la tension dans la corde (on ne peut s'imaginer à priori qu'elle correspond au poids de la masse m), le choix du système comprenant les deux masses et la corde s'impose, car ainsi la tension dans la corde, en tant que force intérieure, n'apparaîtra pas dans les équations de Newton. - + \smallskip Comme déjà dit, on peut considérer le système d'un seul tenant. On va donc imaginer un axe suivant la corde et orienté vers le bas du plan incliné, car la masse M étant plus grande que m, il est évident que le mouvement se fera dans ce sens. Ainsi, le signe de l'accélération sera positif. - + \smallskip Reste à considérer les forces extérieures. Elles sont au nombre de quatre~: \begin{enumerate} @@ -181,11 +181,11 @@ \item celui p de la masse et \item la force exercée sur la corde par la poulie. \end{enumerate} - + La dernière est toujours perpendiculaire à la corde et ne participe donc pas au mouvement des masses. La troisième est toujours parallèle à la corde. La seconde est toujours perpendiculaire au plan incliné et ne participe elle aussi pas au mouvement. La première à une composante perpendiculaire au plan incliné et ne participe pas au mouvement, mais aussi une composante parallèle à ce plan et doit être considérée. Avec l'angle \(\alpha\) défini, on peut reprendre le raisonnement évoqué au problème \ref{planinclinesimple}, évoquant le triangle rectangle formé par le poids de la masse M et se composantes et affirmant que l'angle \(\alpha\) est celui entre le poids et sa composante perpendiculaire au plan, pour écrire que la composante parallèle au plan vaut~: \[P_{//}=M\cdot g\cdot \sin(\alpha)\] - + \smallskip À partir de là, on peut écrire l'équation du mouvement du système (des deux masse et de la corde)~: \[\sum F^{ext}=M\cdot g\cdot \sin(\alpha)-m\cdot g=(M+m)\cdot a\] @@ -196,27 +196,27 @@ &=\SI{-0,6}{\metre\per\second\squared} \end{align*} Le signe négatif signifie que la masse M monte vers le haut du plan incliné. - + \medskip Pour calculer la tension dans la corde, il est indispensable de changer de système pour la faire apparaître en tant que force extérieure dans l'équation de Newton. - + Trois éléments peuvent prétendre servir de système. - + La corde en premier lieu. Si on la considère seule, à l'une de ses extrémités la masse m exerce sur elle une force \(T_m\) et à l'autre la masse M exerce une tension à priori différente \(T_M\). La force exercée par la poulie reste perpendiculaire et ne contribue pas au mouvement. On peut donc écrire~: \[T_M-T_m=\mu\cdot a\] où \(\mu\) est la masse de la corde. Or, si cette masse est nulle, indépendamment de l'accélération, le deux tensions sont égales. Cela est évidemment valable pour tous les éléments de la corde dont on dira donc qu'elle exerce une force \(T\) à déterminer. - + Le système corde ne permet donc pas de la trouver. - + Restent les deux masses. Pour la masse M interviendra dans l'équation du mouvement un sinus qu'on va éviter en considérant m. - + Sur m, avec un axe pointant toujours vers le haut, l'équation de Newton devient très simple~: \begin{align*} \sum F{ext}&=T-m\cdot g=m\cdot a\;\Rightarrow\\ T&=m\cdot (a+g)=3\cdot (-0,6+9,81)\\ &=\SI{27,6}{\newton} \end{align*} - + \medskip Pour vérifier ce résultat, choisissons l'autre masse (M) pour système. On écrira alors~: \begin{align*} @@ -233,7 +233,7 @@ v&=\sqrt{2\cdot g\cdot h}=\sqrt{2\cdot 9.81\cdot 2}\\ &=\SI{6,26}{\metre\per\second} \end{align*} - + Ensuite, si on considère que la descente en parachute se fait à vitesse constante, c'est-à-dire avec une accélération nulle, on peut écrire~: \begin{align*} \sum F^{ext}&=-T+m\cdot g=m\cdot a=0\;\Rightarrow\\ @@ -248,12 +248,12 @@ \[\sum F^{ext}=F-(M+m)\cdot g=(M+m)\cdot a=0\] puisque l'accélération est nulle. Ainsi, la force F exercée par le ballon sur la nacelle est simplement égale au poids du système~: \[F=(M+m)\cdot g=180\cdot 9,81=\SI{1765,8}{\newton}\] - + \smallskip Le même raisonnement vaut pour la masse suspendue dont l'accélération est nulle. Ainsi la tension T dans la corde vaut exactement le poids de la masse pendante~: \[T=m\cdot g=80\cdot 9,81=\SI{784,8}{\newton}\] \item À vitesse constante, la force permettant au ballon de s'élever est donc égale au poids de ce qu'il soulève. La force d'ascension vaut donc \(F=\SI{1765,8}{\newton}\). - + Si on lâche \SI{20}{\kilo\gram} de lest, la masse de la nacelle devient égale à \SI{80}{\kilo\gram}. La seconde loi de Newton permet alors de calculer l’accélération~: \begin{align*} \sum F^{ext}&=F-(M+m)\cdot g=(M+m)\cdot a\;\Rightarrow\\ @@ -261,7 +261,7 @@ &=\SI{1,23}{\metre\per\second\squared} \end{align*} Évidemment, la force exercée par le ballon sur la nacelle vaut \SI{1765,8}{\newton}. - + La force exercée par la corde sur la masse se calcule finalement par application de la seconde loi au système constitué uniquement de m~: \begin{align*} \sum F^{ext}&=T-m\cdot g=m\cdot a\;\Rightarrow\\ @@ -273,7 +273,7 @@ \end{Solution OS} \begin{Solution OS}{8} On verra ci-dessous que l'utilisation de la seconde loi de Newton permet d'obtenir une relation entre l'accélération de chaque masse, constituant une équation à deux inconnues. Pour déterminer la valeur des deux accélérations, il est donc nécessaire de trouver une seconde équation entre ces deux équations. - + \medskip Imaginons une poulie suspendue à une corde qui dépasse de celle-ci des deux côtés d'une longueur L, comme présenté sur la figure \ref{cordepoulie}. La demi-circonférence de la poulie vaut aussi L. \begin{figure}[ht] @@ -284,10 +284,10 @@ \input{Annexe-Exercices/Images/cordepoulie.eps_tex} \end{figure} On tire sur la corde à gauche pour la faire monter d'une hauteur L. - + \smallskip La question est~: \emph{de quelle hauteur monte la poulie ?} - + \smallskip Pour le déterminer, il faut considérer qu'en tirant sur la corde pour la faire monter d'une hauteur L, on amène le point A qui est à l'origine au contact de la poulie à la place du point B du haut de la corde (voir figure \ref{cordepoulie}). Si la poulie restait à sa place, on aurait la situation de la figure \ref{cordepoulietiree}). Mais, elle est en réalité libre de monter. Ce qui reste fixe est le point C de la figure \ref{cordepoulie}. \begin{figure}[ht] @@ -304,40 +304,40 @@ \medskip \def\svgwidth{3.1cm} \input{Annexe-Exercices/Images/cordepoulietireejuste.eps_tex} - \end{figure} + \end{figure} Ainsi, quand on tire la corde d'une longueur L, la poulie monte d'une longueur L/2. - + \bigskip Pour revenir au système des deux poulies du problème, la remarque précédente se traduit par le fait que quand la masse m descend d'une longueur L, la masse M monte d'une longueur L/2. - + L'accélération étant une distance divisée par un temps au carré, on comprends facilement que cela signifie que l'accélération de la masse m vaut simplement le double de celle de la masse M, soit~: \[a_m=2\cdot a_M\] Cette équation constitue une première relation entre les deux inconnues que sont les accélérations de chaque masse. - + \bigskip Les masses étant égales, on pourrait aussi croire que le système est en équilibre. Ce n'est pas le cas. Pour le comprendre, considérons la poulie qui n'est pas accrochée au plafond. \smallskip À l'instar d'une poulie suspendue au plafond à laquelle on accroche deux masses identiques pendantes par l'intermédiaire d'une corde, la force totale qu'exerce sur elle le plafond vaut évidemment le poids total des deux masses, puisque la poulie ne bouge pas. Or, pour que chaque masse individuellement ne bouge pas, il faut que la corde qui passe dans la poulie exerce sur chacune d'elle une force égale à son poids. De chaque côté de la poulie, la corde exerce donc une même force et la poulie est tirée vers le bas par l'ensemble de ces deux forces. - + \smallskip Ainsi, sur la poulie qui n'est pas accrochée au plafond, la force totale exercée vers le haut vaut deux fois la tension dans la corde. Vers le bas, seule le poids de la masse M qui lui est suspendue est présent. - + \smallskip De l'autre côté, la masse m retenue par la corde qui passe sur la poulie suspendue au plafond est soumise à un poids identique vers le bas et à une seule force vers le haut exercée par la corde. Comme la masse de la corde est nulle, la tension dans la corde est la même partout. - + \smallskip Finalement, la masse M est tirée vers le haut par deux fois la tension dans la corde et la masse m est retenue par une fois la tension dans la corde. Clairement donc, la première monte et la seconde descend. - + \medskip Le choix du système d'axe est donc clair~: vers le haut pour la masse M qui monte et vers le bas pour m qui descend, le mouvement se faisant dans cette direction avec une accélération a identique pour les deux masses. - + \smallskip On peut alors écrire les équations du mouvement de chaque masse ainsi~: \begin{align*} m\cdot g-T&=m\cdot a_m\\ 2\cdot T-M\cdot g&=M\cdot a_M - \end{align*} + \end{align*} En multipliant par deux la première équation, on peut les additionner pour en tirer l'accélération. \begin{align*} 2\cdot m\cdot g-2\cdot T&=2\cdot m\cdot a_m\\ @@ -346,7 +346,7 @@ 2\cdot m\cdot g-M\cdot g&=2\cdot m\cdot a_m+M\cdot a_M \end{align*} Cela constitue la seconde relation entre les deux inconnues que sont les accélérations de chaque masse. - + \medskip Avec la première relation établie ci-dessus entre les accélérations des deux masses (\(a_m=2\cdot a_M\)), on a alors~: \begin{align*} @@ -374,8 +374,8 @@ a_x&=\frac{R\cdot \sin(\alpha)}{m}\\ a_y&=\frac{R\cdot \cos(\alpha)-m\cdot g}{m} \end{align*} - Visiblement, on a deux équations pour trois inconnues, les deux accélérations et la réaction du plan. - + Visiblement, on a deux équations pour trois inconnues, les deux accélérations et la réaction du plan. + Pour le calcul de cette dernière, il est donc nécessaire de disposer de l'équation supplémentaire donnée par la contrainte imposée à la masse de rester sur le plan incliné, soit la relation spécifiant que la réaction R est égale à la composante perpendiculaire au plan incliné du poids~: \[R=P\cdot \cos(\alpha)=m\cdot g\cdot \cos(\alpha)\] Ainsi, en remplaçant dans les équations du mouvement, on a~: @@ -400,9 +400,9 @@ \begin{Solution OS}{10} Rappelons tout d'abord que l'exercice \ref{massesuspendue} a permis de calculer l'accélération d'un système de deux masses, l'une sur un plan horizontal, la masse M', et l'autre pendant dans le vide, la masse m, accrochée à la première par une ficelle sans masse. Avec un système constitué des deux masses, on a pu montrer que~: \[m\cdot g=(M'+m)\cdot a\;\;\Rightarrow\;\;a=\frac{m}{M'+m}\cdot g\] - + C'est à partir de là que l'on peut résoudre le présent problème. - + \smallskip La solution est toute simple. À un instant donné on groupe toute la masse qui glisse sur le plan pour en faire la masse M et toute la masse pendante pour en faire la masse m. Pour cela, définissons une masse par unité de longueur de corde~: \[\rho=\frac{M}{L}\] @@ -503,13 +503,13 @@ &=0,6\cdot 2\cdot 9,81=\SI{11,77}{\newton} \end{align*} On est alors à l'imminence de glissement. - + Pour calculer l'accélération des deux masses, qui n'en forment alors plus qu'une, il faut choisir le système qui les constitue et écrire~: \begin{align*} F&=(M+m)\cdot a\;\Rightarrow\;a=\frac{F}{M+m}\\ &=\frac{11,77}{2+5}=\SI{1,68}{\metre\per\second\squared} \end{align*} - + \medskip À partir du moment où le glissement commence, la force de frottement statique maximum devient une force de frottement cinétique. Si les c\oe fficients de frottements statique et cinétique sont égaux, la force de frottement cinétique est égale à celle statique maximale et ne varie plus. Ainsi, sur le bloc du bas ne s'exerce qu'une seule force extérieure, c'est la réaction à la force de frottement cinétique exercée par le bloc du bas sur celui du haut. Sa valeur est donnée par le calcul ci-dessus. Ainsi, on peut écrire pour le système du bas~: \begin{align*} @@ -557,13 +557,13 @@ \medskip \def\svgwidth{4cm} \input{Annexe-Exercices/Images/blocsuspenduforces.eps_tex} - \end{figure} + \end{figure} \begin{align*} F_{fr}&=\mu_{stat}\cdot N\;\Rightarrow\\ N&=\frac{F_{fr}}{\mu_{stat}}=\frac{29,43}{0,5}=\SI{58,86}{\newton} \end{align*} On peut dire en français que pour avoir une force de frottement donnée il faut une réaction normale N de valeur double, en raison du c\oe fficient de frottement particulier ici. - + \medskip C'est la force normale \(\overrightarrow{N}\) qui est la seule force qui pousse la masse m horizontalement. Elle est donc responsable de l'accélération qu'on peut ainsi calculer simplement à l'aide de la seconde loi~: \[a=\frac{N}{m}=\frac{58,56}{3}=\SI{19,62}{\metre\per\second\squared}\] @@ -590,22 +590,22 @@ &=\SI{490500}{\joule} \end{align*} pour une seule montée. Pour 5 montées, on a donc \SI{2452500}{\joule}. - + \medskip C'est évidemment la même énergie qui est perdue pendant la descente (à l'exception de la poussée initiale). Elle vient du travail du poids sur le bob et les quatre personnes qui se trouvent à l'intérieur. - + \medskip L'énergie potentielle perdue par le bob sert à augmenter sa vitesse et à lutter contre le frottement. Le travail nécessaire à parvenir à une vitesse de \SI{80}{\kilo\metre\per\hour} est égal à l'énergie cinétique acquise. Pour un bob de \SI{600}{\kilo\gram} et une vitesse moyenne de 80/3,6=\SI{22,2}{\metre\per\second}, on a un travail de~: \[A=\frac{1}{2}\cdot m\cdot v^2=\frac{1}{2}\cdot 600\cdot 22,2^2=\SI{148148}{\joule}\] par descente. Soit au total, pour 5 descentes \SI{740740}{\joule}. - + Cette valeur est supérieure à l'énergie fournie au bob pendant la montée. C'est normal, car on a pas tenu compte alors de l'énergie nécessaire à monter les personnes. Pour cela, il faut calculer l'énergie potentielle acquise par la masse de \SI{600}{\kilo\gram}~: \[E_{pot}=600\cdot 9,81\cdot 200=\SI{1177200}{\joule}\] qui est bien supérieure à celle fournie pour augmenter la vitesse. - + \medskip La différence d'énergie potentielle et cinétique, soit 1'117'200-740'740 = \SI{436460}{\joule}, est perdue dans le frottement. - + Comme la distance sur laquelle il s'exerce est de \SI{1800}{\metre}, on peut calculer la force de frottement moyenne par~: \begin{align*} A_{fr}&=F_fr\cdot d\;\Rightarrow\\ diff --git a/Thermodynamique/Thermodynamique.aux b/Thermodynamique/Thermodynamique.aux index 8dcaaeb..4ce558f 100644 --- a/Thermodynamique/Thermodynamique.aux +++ b/Thermodynamique/Thermodynamique.aux @@ -1,41 +1,41 @@ \relax -\@writefile{toc}{\contentsline {chapter}{\numberline {10}Thermodynamique}{133}} +\@writefile{toc}{\contentsline {chapter}{\numberline {10}Thermodynamique}{133}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} 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