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Calculez la vitesse de la seconde alors que la première à parcouru une distance de \unit{50}{\centi\metre}. Réponse~:\unit{2,8}{\metre\per\second}. + \begin{solos} + 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~: + \begin{align*} + &m\cdot g=(M+m)\cdot a\;\Rightarrow\\ + &a=\frac{m}{M+m}\cdot g=\frac{2}{5}\cdot 9,81=\unit{3,924}{\metre\per\second\squared} + \end{align*} + \medskip + À partir de l'accélération, on peut ensuite calculer la vitesse au bout d'un mètre, grâce à l'équation du MRUA~: + \begin{align*} + v^2&=v_0^2+2\cdot a\cdot d\;\Rightarrow\\ + v^2&=0+2\cdot 3,924\cdot 1\;\Rightarrow\\ + v&=\sqrt{2\cdot 3,924}=\unit{2,8}{\metre\per\second} + \end{align*} + \end{solos} +\end{exos} + \begin{exos} Un exercice de test. \begin{solos} diff --git a/Annexe-Incertitudes/Annexe-Incertitudes.aux b/Annexe-Incertitudes/Annexe-Incertitudes.aux index 89d82e4..39b1807 100644 --- a/Annexe-Incertitudes/Annexe-Incertitudes.aux +++ b/Annexe-Incertitudes/Annexe-Incertitudes.aux @@ -1,16 +1,16 @@ \relax -\@writefile{toc}{\contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{209}} +\@writefile{toc}{\contentsline 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b/CoursMecaniqueOSDF.ent @@ -653,7 +653,23 @@ macro:->Voir \url =http://fr.wikipedia.org/wiki/Image:Sadi_Carnot.jpeg= \@endanenote -\@doanenote {86} +\@doanenote {85} +macro:->Voir +le +site +de +l'encyclopédie +:\\ +http://fr.wikipedia.org/wiki/Masse\_atomique +\@endanenote +\@doanenote {87} +macro:->Voir +Wikipedia +: +\url +=http://fr.wikipedia.org/wiki/Fichier:4-Stroke-Engine.gif= +\@endanenote +\@doanenote {89} macro:->Voir le site @@ -676,15 +692,15 @@ auteur Luc Viatour. \@endanenote -\@doanenote {87} -macro:->\url -=http://www.iap.fr/InformationCommunication/ArticlesGrandPublic/Etoiles/Transit/transit_parallaxe_mars_1672.html= -\@endanenote -\@doanenote {88} -macro:->\url -=http://www.iap.fr/InformationCommunication/ArticlesGrandPublic/Etoiles/Transit/transit_parallaxe_mars_1672.html= -\@endanenote \@doanenote {90} +macro:->\url +=http://www.iap.fr/InformationCommunication/ArticlesGrandPublic/Etoiles/Transit/transit_parallaxe_mars_1672.html= +\@endanenote +\@doanenote {91} +macro:->\url +=http://www.iap.fr/InformationCommunication/ArticlesGrandPublic/Etoiles/Transit/transit_parallaxe_mars_1672.html= +\@endanenote +\@doanenote {93} macro:->Voir le site @@ -701,7 +717,7 @@ copyright de l'image. \@endanenote -\@doanenote {92} +\@doanenote {95} macro:->Voir le site @@ -721,14 +737,14 @@ Remerciements la NASA. \@endanenote -\@doanenote {93} +\@doanenote {96} macro:->Voir le site \url =http://www.dil.univ-mrs.fr/~gispert/enseignement/astronomie/5eme_partie/voieLactee.php= \@endanenote -\@doanenote {95} +\@doanenote {98} macro:->Voir le site @@ -739,7 +755,7 @@ 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 {97} +\@doanenote {100} macro:->Voir le site @@ -760,7 +776,7 @@ Remerciements la NASA. \@endanenote -\@doanenote {99} +\@doanenote {102} macro:->Voir le site @@ -783,7 +799,7 @@ auteur Samuel Wantman. \@endanenote -\@doanenote {101} +\@doanenote {104} macro:->Voir le site @@ -800,7 +816,7 @@ copyright de l'image. \@endanenote -\@doanenote {102} +\@doanenote {105} macro:->Voir le site @@ -810,7 +826,7 @@ RhônEole \url =http://www.rhoneole.ch/= \@endanenote -\@doanenote {103} +\@doanenote {106} macro:->Voir le site @@ -820,7 +836,7 @@ Juvent \url =http://www.juvent.ch/= \@endanenote -\@doanenote {104} +\@doanenote {107} macro:->Voir les sites @@ -833,7 +849,7 @@ et \url =http://www.ader.ch/energieaufutur/energies/geothermie/index2.php= \@endanenote -\@doanenote {105} +\@doanenote {108} macro:->voir dépliant ``Nos @@ -848,7 +864,7 @@ site \url =http://www.cridor.ch/content/doc/brochures.php= \@endanenote -\@doanenote {106} +\@doanenote {109} macro:->Voir l'article complet diff --git a/CoursMecaniqueOSDF.idx b/CoursMecaniqueOSDF.idx index 8ba5860..5735d86 100644 --- a/CoursMecaniqueOSDF.idx +++ b/CoursMecaniqueOSDF.idx @@ -594,479 +594,581 @@ \indexentry{cristal}{72} 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+\indexentry{gaz!\IeC {\`a} effet de serre}{112} +\indexentry{geothermie@g\IeC {\'e}othermie}{112} +\indexentry{cro\IeC {\^u}te terrestre}{112} +\indexentry{pompe \IeC {\`a} chaleur}{112} +\indexentry{forage}{112} +\indexentry{turbine}{112} +\indexentry{chauffage!urbain}{112} +\indexentry{seisme@s\IeC {\'e}isme}{112} +\indexentry{Riehen}{113} +\indexentry{energie@\IeC {\'e}nergie!non renouvelable}{113} +\indexentry{maree noire@mar\IeC {\'e}e noire}{113} +\indexentry{accident nucleaire@accident nucl\IeC {\'e}aire}{113} +\indexentry{liaison}{113} +\indexentry{nucl\IeC {\'e}on}{113} +\indexentry{defaut@d\IeC {\'e}faut de masse}{113} +\indexentry{defaut@d\IeC {\'e}faut de masse}{113} +\indexentry{fission}{113} +\indexentry{force!forte}{113} +\indexentry{reaction@r\IeC {\'e}action!en cha\IeC {\^\i }ne}{114} +\indexentry{masse!critique}{114} +\indexentry{barre de contr\IeC {\^o}le}{114} +\indexentry{fluide caloriporteur}{114} +\indexentry{turbine}{114} +\indexentry{vapeur}{114} +\indexentry{dechet radioactif@d\IeC {\'e}chet radioactif}{115} +\indexentry{fission}{115} +\indexentry{radioactivite@radioactivit\IeC {\'e}}{115} +\indexentry{activit\IeC {\'e}}{115} +\indexentry{demi-vie}{115} +\indexentry{transmutation}{115} +\indexentry{Tchernobyl}{115} +\indexentry{barre de contr\IeC {\^o}le}{115} +\indexentry{zone contaminee@zone contamin\IeC {\'e}e}{115} +\indexentry{fusion}{115} +\indexentry{bombes a hydrogene@bombes \IeC {\`a} hydrog\IeC {\`e}ne}{116} +\indexentry{energie@\IeC {\'e}nergie!de combustion}{116} +\indexentry{fioul}{116} +\indexentry{mazout}{116} +\indexentry{petrole@p\IeC {\'e}trole}{116} +\indexentry{gaz!naturel}{116} +\indexentry{combustion!du m\IeC {\'e}thane}{116} +\indexentry{gaz!carbonique}{116} +\indexentry{gaz!\IeC {\`a} effet de serre}{116} +\indexentry{effet!de serre}{116} +\indexentry{\IeC {\'e}nergie}{119} +\indexentry{grandeur conserv\IeC {\'e}e}{119} +\indexentry{vitesse}{119} +\indexentry{cause du mouvement}{119} 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+\indexentry{Fahrenheit}{127} +\indexentry{degre@degr\IeC {\'e}!Fahrenheit}{127} +\indexentry{fusion}{127} +\indexentry{vaporisation}{127} +\indexentry{systeme@syst\IeC {\`e}me!internationnal}{128} +\indexentry{Kelvin}{128} +\indexentry{agitation mol\IeC {\'e}culaire}{128} +\indexentry{chaleur}{129} +\indexentry{temperature@temp\IeC {\'e}rature}{129} +\indexentry{chaleur!sp\IeC {\'e}cifique}{129} +\indexentry{chaleur!latente}{129} +\indexentry{palier!de fusion}{130} +\indexentry{palier!de solidification}{130} +\indexentry{palier!de vaporisation}{130} +\indexentry{palier!de liqu\IeC {\'e}faction}{130} +\indexentry{chaleur!latente}{130} +\indexentry{travail}{130} +\indexentry{energie@\IeC {\'e}nergie!interne}{130} +\indexentry{chaleur}{130} +\indexentry{energie@\IeC {\'e}nergie!potentielle}{130} +\indexentry{energie@\IeC {\'e}nergie!cin\IeC {\'e}tique}{130} +\indexentry{Carnot Nicolas Leonard@Carnot Nicolas L\IeC {\'e}onard}{131} +\indexentry{Carnot Nicolas Leonard@Carnot Nicolas L\IeC 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+\indexentry{force!d'inertie}{192} +\indexentry{force!fictive}{192} +\indexentry{pseudo-force}{192} +\indexentry{force!centrifuge}{192} +\indexentry{force!centrifuge}{192} +\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{192} +\indexentry{pseudo-force}{192} +\indexentry{force!de gravitation}{192} +\indexentry{courbure de l'espace}{193} +\indexentry{maree@mar\IeC {\'e}e}{195} +\indexentry{zenith@z\IeC {\'e}nith}{195} +\indexentry{centre de gravit\IeC {\'e}}{195} +\indexentry{force!d'inertie}{195} +\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!tournant}{195} +\indexentry{pseudo-force!centrifuge}{195} +\indexentry{poids!relatif}{195} +\indexentry{centre de gravit\IeC {\'e}}{195} +\indexentry{mouvement!circulaire uniforme}{196} +\indexentry{acceleration@acc\IeC {\'e}l\IeC {\'e}ration!centrip\IeC {\`e}te}{196} +\indexentry{vitesse!lin\IeC {\'e}aire}{196} +\indexentry{vitesse!angulaire}{196} +\indexentry{vitesse!angulaire}{196} +\indexentry{force!d'inertie}{196} 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+\indexentry{eolienne@\IeC {\'e}olienne}{205} +\indexentry{mat@m\IeC {\^a}t}{205} +\indexentry{pale}{205} +\indexentry{limite de Betz}{205} +\indexentry{barrage}{205} +\indexentry{eolienne@\IeC {\'e}olienne}{205} +\indexentry{mat@m\IeC {\^a}t}{205} +\indexentry{pale}{205} +\indexentry{barrage}{205} +\indexentry{geothermie@g\IeC {\'e}othermie}{205} +\indexentry{forage}{206} +\indexentry{energie@\IeC {\'e}nergie!de combustion!des d\IeC {\'e}chets}{206} +\indexentry{barrage}{206} +\indexentry{Alpha du Centaure}{207} +\indexentry{parsec}{207} +\indexentry{Alexandrie}{207} +\indexentry{Eratosthene@\IeC {\'E}ratosth\IeC {\`e}ne}{207} +\indexentry{zenith@z\IeC {\'e}nith}{207} +\indexentry{rayon de la Terre}{207} +\indexentry{proc\IeC {\'e}dure}{210} +\indexentry{Atwood}{211} +\indexentry{Atwood}{212} +\indexentry{erreur syst\IeC {\'e}matique}{221} diff --git a/CoursMecaniqueOSDF.lof b/CoursMecaniqueOSDF.lof index 1b30d40..ef33d6a 100644 --- a/CoursMecaniqueOSDF.lof +++ 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Underfull \hbox (badness 10000) in paragraph at lines 8--9 [][] \T1/cmr/m/n/10 est de par-courir [] -[93 +[127 ] @@ -2244,7 +2471,7 @@ File: ./Thermodynamique/Images/Celsius_Fahrenheit.eps Graphic file (type eps) <./Thermodynamique/Images/Celsius_Fahrenheit.eps> File: ./Thermodynamique/Images/Celsius_Kelvin.eps Graphic file (type eps) -<./Thermodynamique/Images/Celsius_Kelvin.eps> [94] [95] +<./Thermodynamique/Images/Celsius_Kelvin.eps> [128] [129] File: ./Thermodynamique/Images/Paliers.eps Graphic file (type eps) <./Thermodynamique/Images/Paliers.eps> @@ -2254,7 +2481,7 @@ Overfull \hbox (16.7091pt too wide) in paragraph at lines 189--190 [][] [] -[96] +[130] Underfull \hbox (badness 10000) in paragraph at lines 215--235 [] @@ -2269,35 +2496,241 @@ Underfull \hbox (badness 10000) in paragraph at lines 238--262 [] -) [97] [98] +) [131] [132] +\openout2 = `ThermodynamiqueOS/ThermodynamiqueOS.aux'. + + (./ThermodynamiqueOS/ThermodynamiqueOS.tex +Chapter 10. + +LaTeX Warning: Reference `thermometreagaz' on page 133 undefined on input line +17. + + +LaTeX Warning: Reference `thermometreagaz' on page 133 undefined on input line +17. + +File: ./ThermodynamiqueOS/Images/Dilatationlineaire.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/Dilatationlineaire.eps> [133 + + + + +] +File: ./ThermodynamiqueOS/Images/Bilame.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/Bilame.eps> +Underfull \hbox (badness 1137) in paragraph at lines 84--85 +[]\T1/cmr/m/n/10 Cette cour-bure force l'une des ex-trémités à + [] + +File: ./ThermodynamiqueOS/Images/DilatationVolumique2.eps Graphic file (type ep +s) +<./ThermodynamiqueOS/Images/DilatationVolumique2.eps> [134] [135] [136] +Underfull \hbox (badness 1946) in paragraph at lines 256--258 +\T1/cmr/m/n/10 Si on con-sid-ère que la chaleur reçue par la + [] + + +Underfull \hbox (badness 1354) in paragraph at lines 276--277 +\T1/cmr/m/n/10 des peu-vent donc en sor-tir. On parle alors + [] + +[137] +Underfull \hbox (badness 1838) in paragraph at lines 338--341 +\T1/cmr/m/n/10 On peut main-tenant com-parer les valeurs en + [] + +[138] +Underfull \hbox (badness 10000) in paragraph at lines 376--377 +[]\T1/cmr/m/n/10 A tem-péra-ture con- + [] + + +Underfull \hbox (badness 1466) in paragraph at lines 380--381 +[]\T1/cmr/m/n/10 A vol-ume con-stant, si la + [] + + +Underfull \hbox (badness 1354) in paragraph at lines 390--392 +\T1/cmr/m/n/10 aussi de deux autres manières. A l'aide de + [] + +[139] [140] +Underfull \hbox (badness 2486) in paragraph at lines 450--451 +[]\T1/cmr/m/n/10 L'approche in-tu-itive nous ayant ap-pris par + [] + + +Overfull \hbox (1.63432pt too wide) in paragraph at lines 472--473 +[][] + [] + + +Underfull \vbox (badness 4673) has occurred while \output is active [] + + [141] +File: ./Thermodynamique/Images/DiagTravailPV.eps Graphic file (type eps) + +<./Thermodynamique/Images/DiagTravailPV.eps> +Underfull \hbox (badness 4634) in paragraph at lines 525--526 +[]\T1/cmr/m/n/10 Pour un gaz par-fait, l'énergie to-tale des + [] + +[142] +Underfull \hbox (badness 1033) in paragraph at lines 546--547 +[]\T1/cmr/m/n/10 Cela con-stitue le principe d'équipartition de + [] + +[143] + +LaTeX Warning: Reference `diagrammepv' on page 144 undefined on input line 593. + + +File: ./ThermodynamiqueOS/Images/DiagTravailPVisobare.eps Graphic file (type ep +s) +<./ThermodynamiqueOS/Images/DiagTravailPVisobare.eps> [144] +File: ./ThermodynamiqueOS/Images/DiagTravailPVisochore.eps Graphic file (type e +ps) + +<./ThermodynamiqueOS/Images/DiagTravailPVisochore.eps> +File: ./ThermodynamiqueOS/Images/DiagTravailPVisotherme.eps Graphic file (type +eps) + +<./ThermodynamiqueOS/Images/DiagTravailPVisotherme.eps> [145] +File: ./ThermodynamiqueOS/Images/DiagTravailPVadiabatique.eps Graphic file (typ +e eps) + +<./ThermodynamiqueOS/Images/DiagTravailPVadiabatique.eps> [146] +Underfull \hbox (badness 10000) in paragraph at lines 891--892 +[]\T1/cmr/m/n/10 Ainsi, pour une trans-for-ma-tion iso-bare, + [] + +[147] +File: ./ThermodynamiqueOS/Images/Moteur1.eps Graphic file (type eps) + <./ThermodynamiqueOS/Images/Moteur1.eps> +File: ./ThermodynamiqueOS/Images/Moteur2.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/Moteur2.eps> +File: ./ThermodynamiqueOS/Images/Moteur3.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/Moteur3.eps> +File: ./ThermodynamiqueOS/Images/Moteur4.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/Moteur4.eps> +Underfull \hbox (badness 1052) in paragraph at lines 945--946 +[]\T1/cmr/m/n/10 En pre-mier lieu, on + [] + + +Underfull \hbox (badness 2591) in paragraph at lines 946--947 +[]\T1/cmr/m/n/10 En sec-ond lieu, on + [] + + +Underfull \hbox (badness 1418) in paragraph at lines 947--948 +[]\T1/cmr/m/n/10 Ensuite, on re-froidit + [] + + +Underfull \hbox (badness 1147) in paragraph at lines 973--974 +[]\T1/cmr/m/n/10 Naturellement, les dif-férentes grandeurs sont + [] + +File: ./ThermodynamiqueOS/Images/DiagPVMotSimple.eps Graphic file (type eps) +<./ThermodynamiqueOS/Images/DiagPVMotSimple.eps> [148] +Underfull \vbox (badness 10000) has occurred while \output is active [] + + [149] +Underfull \hbox (badness 2134) in paragraph at lines 1077--1079 +\T1/cmr/m/n/10 Cela cor-re-spond ex-acte-ment à la somme des + [] + +File: ./ThermodynamiqueOS/Images/DiagPVChal.eps Graphic file (type eps) +<./ThermodynamiqueOS/Images/DiagPVChal.eps> +File: ./ThermodynamiqueOS/Images/BilanMot.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/BilanMot.eps> +File: ./ThermodynamiqueOS/Images/Admission.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/Admission.eps> +File: ./ThermodynamiqueOS/Images/Compression.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/Compression.eps> +File: ./ThermodynamiqueOS/Images/Allumage.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/Allumage.eps> +File: ./ThermodynamiqueOS/Images/TempsMoteur.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/TempsMoteur.eps> +Underfull \hbox (badness 3942) in paragraph at lines 1132--1132 +[]\T1/cmr/m/n/8 (d) Temps mo- + [] + +File: ./ThermodynamiqueOS/Images/Echappement.eps Graphic file (type eps) +<./ThermodynamiqueOS/Images/Echappement.eps> +File: ./ThermodynamiqueOS/Images/Evacuation.eps Graphic file (type eps) + +<./ThermodynamiqueOS/Images/Evacuation.eps> [150] +Underfull \hbox (badness 2065) in paragraph at lines 1140--1141 +[]\T1/cmr/m/n/10 (\T1/cmr/m/n/9 fig. 10.13(a)[]) Pen-dant ce pre-mier + [] + +File: ./ThermodynamiqueOS/Images/DiagPVEss.eps Graphic file (type eps) +<./ThermodynamiqueOS/Images/DiagPVEss.eps> +Underfull \hbox (badness 4518) in paragraph at lines 1182--1184 +\T1/cmr/m/n/10 Évidemment la chaleur est re-jet-tée pen-dant + [] + +[151] +File: ./ThermodynamiqueOS/Images/DiagPVDiesel.eps Graphic file (type eps) + <./ThermodynamiqueOS/Images/DiagPVDiesel.eps> +Underfull \hbox (badness 1137) in paragraph at lines 1235--1236 +[]\T1/cmr/m/n/10 Comme le cy-cle d'Otto, le cy-cle Diesel est + [] + +[152] [153] + +LaTeX Warning: Reference `diagpvcarnot' on page 154 undefined on input line 131 +2. + + +LaTeX Warning: Reference `' on page 154 undefined on input line 1315. + +[154]) [155 + +] \openout2 = `Annexe-UnitesInternationales/Annexe-UnitesInternationales.aux'. (./Annexe-UnitesInternationales/Annexe-UnitesInternationales.tex +[156 + + + + +] Appendix A. Underfull \hbox (badness 2970) in paragraph at lines 16--17 [][] \T1/cmr/m/n/10 sont des ``ob-jets'' d'une im-por- [] -[99 +[157 - - - -] [100] +] [158] File: ./Annexe-UnitesInternationales/Images/Arc.eps Graphic file (type eps) <./Annexe-UnitesInternationales/Images/Arc.eps> Underfull \hbox (badness 5878) in paragraph at lines 192--193 []$\T1/cmr/m/n/10 =$[]$/$[]$ et $[]$=$[]$/$[]$. [] -[101] [102]) [103] +[159] [160]) [161] \openout2 = `Annexe-SystemeCoordonnees/Annexe-SystemeCoordonnees.aux'. (./Annexe-SystemeCoordonnees/Annexe-SystemeCoordonnees.tex -[104 +[162 @@ -2314,13 +2747,13 @@ File: ./Annexe-SystemeCoordonnees/Images/circulaire.eps Graphic file (type eps) <./Annexe-SystemeCoordonnees/Images/circulaire.eps> Underfull \vbox (badness 10000) has occurred while \output is active [] - [105 + [163 ] File: ./Annexe-SystemeCoordonnees/Images/spherique.eps Graphic file (type eps) -<./Annexe-SystemeCoordonnees/Images/spherique.eps>) [106 +<./Annexe-SystemeCoordonnees/Images/spherique.eps>) [164 ] \openout2 = `Annexe-MesuresDistances/Annexe-MesuresDistances.aux'. @@ -2334,7 +2767,7 @@ Underfull \hbox (badness 2717) in paragraph at lines 22--22 que-ment car [] -[107 +[165 @@ -2344,10 +2777,10 @@ Underfull \hbox (badness 1043) in paragraph at lines 38--39 \T1/cmr/m/n/10 prob-lème posé par la mesure d'Érathosthène[]. [] -[108] +[166] File: ./Annexe-MesuresDistances/Images/RayonLune.eps Graphic file (type eps) - <./Annexe-MesuresDistances/Images/RayonLune.eps> [109] -(./Annexe-MesuresDistances/Images/Parallaxe.pst) [110] + <./Annexe-MesuresDistances/Images/RayonLune.eps> [167] +(./Annexe-MesuresDistances/Images/Parallaxe.pst) [168] Underfull \hbox (badness 1783) in paragraph at lines 116--117 []\T1/cmr/m/n/10 ``\T1/cmr/m/it/10 Le 5 septem-bre 1672, trois jours [] @@ -2357,7 +2790,7 @@ Underfull \hbox (badness 1052) in paragraph at lines 116--117 \T1/cmr/m/it/10 ob-servâmes à Paris trois Etoiles dans [] -[111]) [112 +[169]) [170 ] \openout2 = `Annexe-TravauxPratiques/Annexe-TravauxPratiques.aux'. @@ -2379,7 +2812,7 @@ Underfull \hbox (badness 3354) in paragraph at lines 22--23 \T1/cmr/m/n/10 vent varier beau-coup en fonc-tion des spé-ci- [] -[113 +[171 @@ -2387,7 +2820,7 @@ Underfull \hbox (badness 3354) in paragraph at lines 22--23 ] File: ./Annexe-TravauxPratiques/Images/RailHorizontal.eps Graphic file (type ep s) - <./Annexe-TravauxPratiques/Images/RailHorizontal.eps> [114] + <./Annexe-TravauxPratiques/Images/RailHorizontal.eps> [172] File: ./Annexe-TravauxPratiques/Images/ExpleGraphe.eps Graphic file (type eps) <./Annexe-TravauxPratiques/Images/ExpleGraphe.eps> @@ -2405,12 +2838,12 @@ Underfull \hbox (badness 2035) in paragraph at lines 96--97 \T1/cmr/m/n/10 présen-ter trop de ré-sul-tats si-mul-tané-ment [] -[115] +[173] Underfull \hbox (badness 2495) in paragraph at lines 153--154 []\T1/cmr/m/n/10 Une ex-pli-ca-tion en français des ré-sul-tats [] -[116] +[174] Underfull \hbox (badness 1783) in paragraph at lines 176--177 \T1/cmr/m/n/10 ex-térieures de l'étoile ont formé la nébuleuse [] @@ -2425,7 +2858,7 @@ Underfull \hbox (badness 1838) in paragraph at lines 188--189 \T1/cmr/m/n/10 et mesurer suc-ces-sive-ment les dis-tances d'une [] -[117 +[175 ] Underfull \hbox (badness 10000) in paragraph at lines 231--231 @@ -2437,24 +2870,24 @@ Underfull \hbox (badness 6001) in paragraph at lines 248--249 \T1/cmr/m/n/10 n'est pas linéaire (ou affine), mais sa [] -[118] +[176] Underfull \hbox (badness 1163) in paragraph at lines 281--282 \T1/cmr/m/n/10 C'est un mou-ve-ment chargé d'histoire puisque [] -[119]) [120] +[177]) [178] \openout2 = `Annexe-Rotations/Annexe-Rotations.aux'. (./Annexe-Rotations/Annexe-Rotations.tex Appendix E. -[121 +[179 ] File: ./Annexe-Rotations/Images/TychoSystem.eps Graphic file (type eps) - <./Annexe-Rotations/Images/TychoSystem.eps> [122] + <./Annexe-Rotations/Images/TychoSystem.eps> [180] File: ./Annexe-Rotations/Images/Milky_Way_2005_soleil.eps Graphic file (type ep s) @@ -2469,7 +2902,7 @@ Overfull \hbox (5.71931pt too wide) detected at line 100 ] 24 [] 365 = [] [] -[123]) [124 +[181]) [182 ] \openout2 = `Annexe-MRUA/Annexe-MRUA.aux'. @@ -2483,12 +2916,12 @@ Underfull \hbox (badness 1603) in paragraph at lines 43--43 []\T1/cmr/bx/n/14.4 Une autre re-la-tion bien [] -[125 +[183 -]) [126] +]) [184] \openout2 = `Annexe-ChuteLune/Annexe-ChuteLune.aux'. (./Annexe-ChuteLune/Annexe-ChuteLune.tex @@ -2496,13 +2929,13 @@ Appendix G. (./Annexe-ChuteLune/Images/SchemaChuteLune.tex) Underfull \vbox (badness 10000) has occurred while \output is active [] - [127 + [185 ]) -[128] +[186] \openout2 = `Annexe-Satellites/Annexe-Satellites.aux'. (./Annexe-Satellites/Annexe-Satellites.tex @@ -2513,12 +2946,12 @@ Overfull \hbox (4.33284pt too wide) in paragraph at lines 15--20 [] File: ./Annexe-Satellites/Images/Satellite.eps Graphic file (type eps) -<./Annexe-Satellites/Images/Satellite.eps> [129 +<./Annexe-Satellites/Images/Satellite.eps> [187 -]) [130 +]) [188 ] \openout2 = `Annexe-Relativite/Annexe-Relativite.aux'. @@ -2531,7 +2964,7 @@ Underfull \hbox (badness 1082) in paragraph at lines 9--10 \T1/cmr/m/it/10 Lorsque vous au-rez ob-servé toutes ces [] -[131 +[189 @@ -2546,8 +2979,8 @@ Underfull \hbox (badness 2495) in paragraph at lines 42--44 Underfull \vbox (badness 10000) has occurred while \output is active [] - [132] -[133] + [190] +[191] Underfull \hbox (badness 3240) in paragraph at lines 125--126 []\T1/cmr/m/n/10 On peut cepen-dant mod-i-fier l'équation I.9[] [] @@ -2562,12 +2995,12 @@ Underfull \hbox (badness 1331) in paragraph at lines 129--131 \T1/cmr/m/n/10 ment ex-er-cées sur l'objet, on peut s'imaginer [] -) [134] [135 +) [192] [193 ] \openout2 = `Annexe-Maree/Annexe-Maree.aux'. - (./Annexe-Maree/Annexe-Maree.tex [136 + (./Annexe-Maree/Annexe-Maree.tex [194 @@ -2580,27 +3013,27 @@ Underfull \hbox (badness 5260) in paragraph at lines 7--8 [] File: ./Annexe-Maree/Images/Maree.eps Graphic file (type eps) -<./Annexe-Maree/Images/Maree.eps> [137 +<./Annexe-Maree/Images/Maree.eps> [195 ] (./Annexe-Maree/Images/Systterrelune.pst) -(./Annexe-Maree/Images/Systterreluneeau.pst) [138] +(./Annexe-Maree/Images/Systterreluneeau.pst) [196] Underfull \hbox (badness 3803) in paragraph at lines 85--87 \T1/cmr/m/n/10 Pour établir l'équation J.6[], on a util-isé le [] -[139] +[197] File: ./Annexe-Maree/Images/Decalages.eps Graphic file (type eps) <./Annexe-Maree/Images/Decalages.eps> File: ./Annexe-Maree/Images/ViveMorteEau.eps Graphic file (type eps) -<./Annexe-Maree/Images/ViveMorteEau.eps> [140] +<./Annexe-Maree/Images/ViveMorteEau.eps> [198] Underfull \hbox (badness 2573) in paragraph at lines 142--143 []\T1/cmr/m/n/10 Au périgée, la dis-tance Terre-Lune vaut : [] -[141] +[199] File: ./Annexe-Maree/Images/Roche.eps Graphic file (type eps) <./Annexe-Maree/Images/Roche.eps> File: ./Annexe-Maree/Images/LimiteRoche1.eps Graphic file (type eps) @@ -2617,14 +3050,14 @@ File: ./Annexe-Maree/Images/LimiteRoche4.eps Graphic file (type eps) <./Annexe-Maree/Images/LimiteRoche4.eps> File: ./Annexe-Maree/Images/LimiteRoche5.eps Graphic file (type eps) -<./Annexe-Maree/Images/LimiteRoche5.eps> [142] +<./Annexe-Maree/Images/LimiteRoche5.eps> [200] Underfull \vbox (badness 4582) has occurred while \output is active [] -) [143] +) [201] \openout2 = `Annexe-Energies/Annexe-Energies.aux'. -(./Annexe-Energies/Annexe-Energies.tex [144 +(./Annexe-Energies/Annexe-Energies.tex [202 @@ -2637,10 +3070,10 @@ Underfull \hbox (badness 1077) in paragraph at lines 34--35 []\T1/cmr/m/n/10 On peut alors éval-uer ap-prox-i-ma-tive-ment le [] -[145 +[203 -] [146] [147]) [148 +] [204] [205]) [206 ] \openout2 = `Annexe-Exercices/Annexe-Exercices.aux'. @@ -2693,7 +3126,7 @@ Underfull \hbox (badness 2717) in paragraph at lines 108--108 Underfull \vbox (badness 10000) has occurred while \output is active [] - [149 + [207 @@ -2708,7 +3141,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 272--272 []\T1/cmr/bx/n/12 Relatif à la no-tion [] -[150] +[208] Underfull \hbox (badness 2285) in paragraph at lines 298--299 []\T1/cmr/m/n/10 Un avion s'approche d'un porte-avions à [] @@ -2723,7 +3156,7 @@ Underfull \hbox (badness 1292) in paragraph at lines 404--418 []\T1/cmr/m/n/10 Calculez la valeur de l'accélération (ici une [] -[151] +[209] Underfull \hbox (badness 3460) in paragraph at lines 516--527 []\T1/cmr/m/n/10 Une moto passe de $[]$ à [] @@ -2783,63 +3216,71 @@ Underfull \hbox (badness 10000) in paragraph at lines 647--648 [] [] -[152] (./Annexe-Exercices/Images/Poulie.tex) +[210] (./Annexe-Exercices/Images/Poulie.tex) +Output from handle ansos going to SolutionsOS.tex +\ansos@file=\write13 +\openout13 = `SolutionsOS.tex'. + + +LaTeX Warning: Reference `pendante' on page 211 undefined on input line 862. + +[211] Output from handle ans going to Solutions.tex \openout12 = `Solutions.tex'. -[153] -Underfull \hbox (badness 1178) in paragraph at lines 940--951 + +Underfull \hbox (badness 1178) in paragraph at lines 966--977 \T1/cmr/m/n/10 teur de la Lune avec les don-nées des ta-bles. [] -Underfull \hbox (badness 1609) in paragraph at lines 991--992 +Underfull \hbox (badness 1609) in paragraph at lines 1017--1018 []\T1/cmr/m/n/10 Une voiture a une masse $\OML/cmm/m/it/10 m \OT1/cmr/m/n/10 = [] -Underfull \hbox (badness 10000) in paragraph at lines 999--1019 +Underfull \hbox (badness 10000) in paragraph at lines 1025--1045 []\T1/cmr/m/n/10 Réponses : $[]$, $[]$ et [] -[154] -Underfull \hbox (badness 2343) in paragraph at lines 1200--1208 +[212] +Underfull \hbox (badness 2343) in paragraph at lines 1226--1234 \T1/cmr/m/n/10 hor-i-zon-tale-ment aug-mente sa vitesse de $[]$ à [] -Underfull \hbox (badness 10000) in paragraph at lines 1210--1210 +Underfull \hbox (badness 10000) in paragraph at lines 1236--1236 []\T1/cmr/bx/n/12 Relatifs à l'énergie hy- [] -Underfull \hbox (badness 2245) in paragraph at lines 1225--1240 +Underfull \hbox (badness 2245) in paragraph at lines 1251--1266 []\T1/cmr/m/n/10 Le même Robin-son Cru-soé veut [] -Underfull \hbox (badness 10000) in paragraph at lines 1243--1257 +Underfull \hbox (badness 10000) in paragraph at lines 1269--1283 []\T1/cmr/m/n/10 On désire fournir $[]$ [] -Underfull \hbox (badness 4144) in paragraph at lines 1275--1296 +Underfull \hbox (badness 4144) in paragraph at lines 1301--1322 []\T1/cmr/m/n/10 Une éoli-enne a des pales dont [] - -Underfull \hbox (badness 1005) in paragraph at lines 1339--1359 +[213] +Underfull \hbox (badness 1005) in paragraph at lines 1365--1385 []\T1/cmr/m/n/10 Quel est le débit d'eau ($\OML/cmm/m/it/10 c[] \OT1/cmr/m/n/10 = [] -[155] -Underfull \hbox (badness 10000) in paragraph at lines 1362--1369 + +Underfull \hbox (badness 10000) in paragraph at lines 1388--1395 []\T1/cmr/m/n/10 Un par-ti-c-ulier con-somme [] -Underfull \hbox (badness 3271) in paragraph at lines 1362--1369 +Underfull \hbox (badness 3271) in paragraph at lines 1388--1395 []$ \T1/cmr/m/n/10 d'énergie élec-trique. Il désire [] @@ -2855,7 +3296,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 24--25 []\T1/cmr/m/n/10 Pendant la phase à vitesse con-stante, [] -[156] +[214] Underfull \hbox (badness 10000) in paragraph at lines 29--30 []\T1/cmr/m/n/10 Quand l'ascenseur perd de la vitesse, [] @@ -2873,7 +3314,7 @@ Underfull \hbox (badness 1371) in paragraph at lines 80--81 []\T1/cmr/m/n/10 L'accélération de la voiture est (hy-pothèse [] -[157] [158] +[215] [216] Underfull \hbox (badness 1281) in paragraph at lines 199--200 \T1/cmr/m/n/10 du théorème de con-ser-va-tion de l'énergie mé- [] @@ -2883,14 +3324,30 @@ Underfull \hbox (badness 5022) in paragraph at lines 227--229 \T1/cmr/m/n/10 Cette vitesse est un vecteur qui fait avec [] -[159] +[217] Underfull \hbox (badness 1769) in paragraph at lines 283--285 \T1/cmr/m/n/10 Compte tenu des frot-te-ments, l'énergie to-tale [] -[160] [161])) [162 +[218] [219]) (./SolutionsOS.tex) [220]) +\openout2 = `Annexe-Incertitudes/Annexe-Incertitudes.aux'. -] (./CoursMecaniqueOSDF.ent + +(./Annexe-Incertitudes/Annexe-Incertitudes.tex +Appendix M. + +Underfull \vbox (badness 4205) has occurred while \output is active [] + + +Underfull \vbox (badness 4429) has occurred while \output is active [] + + [221 + + + + +]) +[222] (./CoursMecaniqueOSDF.ent Underfull \hbox (badness 7415) in paragraph at lines 2--22 \T1/cmtt/m/n/8 hubble . nasa . gov / multimedia / astronomy . php$ \T1/cmr/m/n/ 8 no-tam-ment @@ -3098,7 +3555,7 @@ Underfull \hbox (badness 2057) in paragraph at lines 616--624 ommons . [] -[163 +[223 ] Underfull \hbox (badness 10000) in paragraph at lines 626--650 @@ -3130,104 +3587,110 @@ Underfull \hbox (badness 10000) in paragraph at lines 652--655 [] -Underfull \hbox (badness 1648) in paragraph at lines 657--678 +Underfull \hbox (badness 2744) in paragraph at lines 666--671 +[][]\T1/cmr/m/n/8 Voir Wikipedia : $\T1/cmtt/m/n/8 http : / / fr . wikipedia . +org / wiki / + [] + + +Underfull \hbox (badness 1648) in paragraph at lines 673--694 [][]\T1/cmr/m/n/8 Voir le site de l'encyclopédie Wikipedia : $\T1/cmtt/m/n/8 ht tp : [] -Underfull \hbox (badness 10000) in paragraph at lines 657--678 +Underfull \hbox (badness 10000) in paragraph at lines 673--694 \T1/cmtt/m/n/8 / / commons . wikimedia . org / wiki / Image : Eclipse _ lune . jpg$\T1/cmr/m/n/8 . [] -Underfull \hbox (badness 10000) in paragraph at lines 680--682 +Underfull \hbox (badness 10000) in paragraph at lines 696--698 [][]$\T1/cmtt/m/n/8 http : / / www . iap . fr / InformationCommunication / [] -Underfull \hbox (badness 10000) in paragraph at lines 680--682 +Underfull \hbox (badness 10000) in paragraph at lines 696--698 \T1/cmtt/m/n/8 ArticlesGrandPublic / Etoiles / Transit / transit _ [] -Underfull \hbox (badness 10000) in paragraph at lines 684--686 +Underfull \hbox (badness 10000) in paragraph at lines 700--702 [][]$\T1/cmtt/m/n/8 http : / / www . iap . fr / InformationCommunication / [] -Underfull \hbox (badness 10000) in paragraph at lines 684--686 +Underfull \hbox (badness 10000) in paragraph at lines 700--702 \T1/cmtt/m/n/8 ArticlesGrandPublic / Etoiles / Transit / transit _ [] -Underfull \hbox (badness 10000) in paragraph at lines 705--723 +Underfull \hbox (badness 10000) in paragraph at lines 721--739 \T1/cmtt/m/n/8 commons . wikimedia . org / wiki / Image : Milky _ Way _ 2005 . jpg$\T1/cmr/m/n/8 . [] -Underfull \hbox (badness 1024) in paragraph at lines 725--730 +Underfull \hbox (badness 1024) in paragraph at lines 741--746 [][]\T1/cmr/m/n/8 Voir le site $\T1/cmtt/m/n/8 http : / / www . dil . univ-[]mr s . fr / ~gispert / [] -Underfull \hbox (badness 1648) in paragraph at lines 732--741 +Underfull \hbox (badness 1648) in paragraph at lines 748--757 [][]\T1/cmr/m/n/8 Voir le site de l'encyclopédie Wikipedia : $\T1/cmtt/m/n/8 ht tp : [] -Underfull \hbox (badness 10000) in paragraph at lines 732--741 +Underfull \hbox (badness 10000) in paragraph at lines 748--757 \T1/cmtt/m/n/8 / / commons . wikimedia . org / wiki / Image : Galileo _ Galilei \ [] -Underfull \hbox (badness 10000) in paragraph at lines 732--741 +Underfull \hbox (badness 10000) in paragraph at lines 748--757 \T1/cmtt/m/n/8 %2C _ Discorsi _ e _ Dimostrazioni _ Matematiche _ Intorno _ a _ [] -Underfull \hbox (badness 1648) in paragraph at lines 764--785 +Underfull \hbox (badness 1648) in paragraph at lines 780--801 [][]\T1/cmr/m/n/8 Voir le site de l'encyclopédie Wikipedia : $\T1/cmtt/m/n/8 ht tp : [] -Underfull \hbox (badness 10000) in paragraph at lines 764--785 +Underfull \hbox (badness 10000) in paragraph at lines 780--801 \T1/cmtt/m/n/8 / / commons . wikimedia . org / wiki / Image : Bay _ of _ Fundy . jpg$ [] -Underfull \hbox (badness 10000) in paragraph at lines 824--835 +Underfull \hbox (badness 10000) in paragraph at lines 840--851 [][]\T1/cmr/m/n/8 Voir les sites de Géother-mie : $\T1/cmtt/m/n/8 http : / / ww w . [] -Underfull \hbox (badness 10000) in paragraph at lines 824--835 +Underfull \hbox (badness 10000) in paragraph at lines 840--851 \T1/cmtt/m/n/8 geothermal-[]energy . ch/$ \T1/cmr/m/n/8 et $\T1/cmtt/m/n/8 http : / / www . ader . ch / [] -Underfull \hbox (badness 1838) in paragraph at lines 852--867 +Underfull \hbox (badness 1838) in paragraph at lines 868--883 [][]\T1/cmr/m/n/8 Voir l'article com-plet à l'adresse : $\T1/cmtt/m/n/8 http : / / rspb . [] -Underfull \hbox (badness 5077) in paragraph at lines 852--867 +Underfull \hbox (badness 5077) in paragraph at lines 868--883 \T1/cmtt/m/n/8 royalsocietypublishing . org / content / 274 / 1626 / 2711$ \T1/ cmr/m/n/8 ou [] -) [164 +) [224 ] (./CoursMecaniqueOSDF.bbl Underfull \hbox (badness 5954) in paragraph at lines 37--43 @@ -3250,20 +3713,23 @@ Underfull \hbox (badness 1325) in paragraph at lines 140--152 \T1/cmr/m/n/10 Ou-vrage très com-plet et très math-é-ma-tique [] -[165 +[225 -]) (./CoursMecaniqueOSDF.ind [166 +]) (./CoursMecaniqueOSDF.ind [226 -] [167 +] [227 -] [168] [169] [170] [171] [172] -[173] [174 +] [228] [229] [230] [231] [232] +[233] [234 ]) (./CoursMecaniqueOSDF.aux (./Prefaces/Prefaces.aux) (./Introduction/Introduction.aux) (./Cinematique/Cinematique.aux) -(./Dynamique/Dynamique.aux) (./Energie/Energie.aux) +(./Dynamique/Dynamique.aux) (./MecaniqueDim/MecaniqueDim.aux) +(./MecaniqueDifferentielle/MecaniqueDifferentielle.aux) +(./QtiteMvt/QtiteMvt.aux) (./Energie/Energie.aux) (./EnergieOS/EnergieOS.aux) (./Thermodynamique/Thermodynamique.aux) +(./ThermodynamiqueOS/ThermodynamiqueOS.aux) (./Annexe-UnitesInternationales/Annexe-UnitesInternationales.aux) (./Annexe-SystemeCoordonnees/Annexe-SystemeCoordonnees.aux) (./Annexe-MesuresDistances/Annexe-MesuresDistances.aux) @@ -3273,22 +3739,26 @@ Underfull \hbox (badness 1325) in paragraph at lines 140--152 (./Annexe-Satellites/Annexe-Satellites.aux) (./Annexe-Relativite/Annexe-Relativite.aux) (./Annexe-Maree/Annexe-Maree.aux) (./Annexe-Energies/Annexe-Energies.aux) -(./Annexe-Exercices/Annexe-Exercices.aux)) +(./Annexe-Exercices/Annexe-Exercices.aux) +(./Annexe-Incertitudes/Annexe-Incertitudes.aux)) LaTeX Font Warning: Size substitutions with differences (Font) up to 0.49994pt have occurred. +LaTeX Warning: There were undefined references. + + LaTeX Warning: There were multiply-defined labels. ) Here is how much of TeX's memory you used: - 19247 strings out of 494830 - 302449 string characters out of 6176634 - 446095 words of memory out of 5000000 - 21813 multiletter control sequences out of 15000+600000 + 19437 strings out of 494830 + 307034 string characters out of 6176634 + 446151 words of memory out of 5000000 + 21932 multiletter control sequences out of 15000+600000 34754 words of font info for 87 fonts, out of 8000000 for 9000 36 hyphenation exceptions out of 8191 55i,29n,92p,2650b,535s stack positions out of 5000i,500n,10000p,200000b,80000s -Output written on CoursMecaniqueOSDF.dvi (174 pages, 1139928 bytes). +Output written on CoursMecaniqueOSDF.dvi (234 pages, 1467376 bytes). diff --git a/CoursMecaniqueOSDF.lot b/CoursMecaniqueOSDF.lot index 9440db9..ca5161c 100644 --- a/CoursMecaniqueOSDF.lot +++ b/CoursMecaniqueOSDF.lot @@ -8,18 +8,29 @@ \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } -\contentsline {table}{\numberline {5.1}{\ignorespaces C\oe fficient de dilatation lin\IeC {\'e}aire\relax }}{95} -\contentsline {table}{\numberline 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{9.3}{\ignorespaces Chaleur latente\relax }}{130} +\addvspace {10\p@ } +\contentsline {table}{\numberline {10.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{134} +\contentsline {table}{\numberline {10.2}{\ignorespaces Coefficient de dilatation volumique\relax }}{135} +\contentsline {table}{\numberline {10.3}{\ignorespaces Chaleur massique\relax }}{136} +\contentsline {table}{\numberline {10.4}{\ignorespaces Chaleur latente\relax }}{137} +\contentsline {table}{\numberline {10.5}{\ignorespaces \IeC {\'E}tats caract\IeC {\'e}ristiques\relax }}{148} +\contentsline {table}{\numberline {10.6}{\ignorespaces Grandeurs caract\IeC {\'e}ristiques\relax }}{150} +\addvspace {10\p@ } +\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{160} +\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{160} +\contentsline {table}{\numberline {A.3}{\ignorespaces Quelques \IeC 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put dup 83 /S put dup 84 /T put +dup 86 /V put dup 87 /W put dup 97 /a put dup 98 /b put @@ -6637,12 +7424,14 @@ dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put +dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put +dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put @@ -6650,6 +7439,7 @@ dup 117 /u put dup 118 /v put dup 120 /x put dup 121 /y put +dup 122 /z put readonly def currentdict end currentfile eexec @@ -6843,252 +7633,299 @@ F2984CED2AB5DAFE00627CD8309098CF051FE6508DE1064D3D38BCFD863814C8 0F11FE2CDA9A8902E022D40FC43A224F3C7B54CC4DA0C1270AFD166C51B362C0 F0DB5FCB7D01F7137B8C9BC20A6B23BDC5DB0BFF04830D6B02C820FFE9E2EF9F 2A5C2C49396248DAB36F34FAAE42BD7BCB47F49F244A822D4E3776645D463662 -720EE8AE8AB8487AE70162E1414EC3F865B91FDEB3C6E5C6687114503536FC16 -A0BE8D527705303FC1F7F0EC7DAED7BBE6B6E6818017754401AFD4C2FF1886C9 -9808E4484F46950FD8FEDC98909044D4FE88FA3616FDBB95B227056763B3A42F 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put +dup 49 /infinity put +dup 63 /perpendicular put readonly def currentdict end currentfile eexec @@ -7324,23 +8163,32 @@ AA275F9FEDFB3036079F4F10ADC8CA8FAF5F5DA7088996FB632CEBD691C1F29A FD52CB18BD258ADFB0B4B8B80F857B543BC64BE31FC83D5ED0A4866444501B5C C98E1CF0A452E886EF57A241A093B769BB09B19B125F334D9D374A9C1B6CFFD6 FFED42F77C7624F8094CA624F45801B960F6E145D9623ADCB90F36C0C273C5B0 -6E0AA4E0C95CDA1561529F446FE5489523B6E793FFF58C9DE7C9E6C8A485263C -91643ADA897237CF0CB64A88781A9CE2F4F1732E173BDD0A4632BB58F0D018F7 -0C2D2D9996B0A5901D8189FF03CB8E9394CB45F6F53CE0350BDC211E230A1944 -6BCD8BD647E71DCD0D036B7CC681C286355F70CFE2B803A7012C8D0D6FDEDF69 -BA51AC97CD980B992613ECD2D05CA1A9FA731FB034E81220EDD7970219840114 -5A461A8F887FFE37452A31616613E3A7C4D286E1B1D14D268962EDD131C8510A -5CBA12CDAEB57C3387D522EFD393AC275BED96C36B02589E84D220892A3624EE -C57E7C01E510D507EC1F3AD40A18AEEED35647E8903D31C1F0200E3FF75C4C4A -0DA5D561092337E8285AC9FE33DFE314ED162BD084BC428420ED22C60D401CC8 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b FG(t)25 b FH(=)2507 -2802 y Fm(q)p 2590 2802 138 4 v 2600 2861 a FA(2)12 b -FB(\267)f Fw(h)p 2600 2875 118 4 v 2642 2922 a(g)2753 -2894 y FH(=)24 b(1)p FG(;)14 b FH(4)22 b(s)p FT(,)29 -b(si)f(on)h(arrondit)e(g)1968 3024 y(\340)g FH(10)22 -b(m)p FG(=)p FH(s)2287 2994 y FA(2)2324 3024 y FT(.)p -0 TeXcolorgray 1885 3202 a FB(\210)p 0 TeXcolorgray 42 -w FT(La)36 b(distance)h(horizon)n(tale)f(parcourue)f(est)j(alors)d(:) -1968 3301 y FG(x)23 b FH(=)g FG(v)2166 3313 y Fw(o)2217 -3301 y FB(\267)14 b FG(t)23 b FH(=)f(2)14 b FB(\267)g -FH(1)p FG(;)g FH(4)22 b(=)g(2)p FG(;)14 b FH(8)22 b(m)p -FT(.)1802 3549 y FI(2.5.5)112 b(La)38 b(c)m(h)m(ute)f(libre)f(...)50 -b(de)38 b(la)f(Lune)1802 3708 y FT(La)20 b(question)h(est)g(ici)g(de)g +0 TeXcolorgray 1885 2771 a FF(\210)p 0 TeXcolorgray 42 +w FX(Le)51 b(temps)h(de)g(c)n(h)n(ute)g(est)g(donn\351)f(par)g(:)86 +b FK(h)63 b FL(=)1978 2861 y FE(1)p 1978 2875 34 4 v +1978 2922 a(2)2021 2894 y FK(g)16 b FF(\267)e FK(t)2144 +2864 y FE(2)2231 2894 y Fz(\))49 b FK(t)25 b FL(=)2507 +2802 y Fq(q)p 2590 2802 138 4 v 2600 2861 a FE(2)12 b +FF(\267)f FA(h)p 2600 2875 118 4 v 2642 2922 a(g)2753 +2894 y FL(=)24 b(1)p FK(;)14 b FL(4)22 b(s)p FX(,)29 +b(si)f(on)h(arrondit)e(g)1968 3024 y(\340)g FL(10)22 +b(m)p FK(=)p FL(s)2287 2994 y FE(2)2324 3024 y FX(.)p +0 TeXcolorgray 1885 3202 a FF(\210)p 0 TeXcolorgray 42 +w FX(La)36 b(distance)h(horizon)n(tale)f(parcourue)f(est)j(alors)d(:) +1968 3301 y FK(x)23 b FL(=)g FK(v)2166 3313 y FA(o)2217 +3301 y FF(\267)14 b FK(t)23 b FL(=)f(2)14 b FF(\267)g +FL(1)p FK(;)g FL(4)22 b(=)g(2)p FK(;)14 b FL(8)22 b(m)p +FX(.)1802 3549 y FM(2.5.5)112 b(La)38 b(c)m(h)m(ute)f(libre)f(...)50 +b(de)38 b(la)f(Lune)1802 3708 y FX(La)20 b(question)h(est)g(ici)g(de)g (sa)n(v)n(oir)e(p)r(ourquoi)h(la)h(lune)g(\020tien)n(t\021)1802 3807 y(au-dessus)26 b(de)i(notre)e(t\352te.)1885 3910 y(La)d(r\351p)r(onse)g(d'Aristote)g(\351tait)h(qu'il)g(est)g(naturel)f @@ -831014,9 +832678,9 @@ b(comme)f(un)i(autre,)f(cela)f(ne)p 0 TeXcolorgray 1719 5617 a(45)p 0 TeXcolorgray eop end %%Page: 46 46 TeXDict begin 46 45 bop 0 TeXcolorgray 0 TeXcolorgray -116 262 a FM(2.5.)64 b(MOUVEMENTS)29 b(SIMPLES)1216 b(CHAPTER)30 +116 262 a FQ(2.5.)64 b(MOUVEMENTS)29 b(SIMPLES)1216 b(CHAPTER)30 b(2.)64 b(LA)28 b(CIN\311MA)-7 b(TIQUE)p 116 296 3753 -4 v 0 TeXcolorgray 116 525 a FT(p)r(eut)35 b(\352tre)e(le)h(cas.)54 +4 v 0 TeXcolorgray 116 525 a FX(p)r(eut)35 b(\352tre)e(le)h(cas.)54 b(Commen)n(t)34 b(donc)f(expliquer)g(que)g(la)116 625 y(Lune)28 b(ne)g(tom)n(b)r(e)f(pas)g(?)199 733 y(On)d(p)r(ourrait)e (r\351p)r(ondre)h(\340)g(cette)h(question)g(en)f(admet-)116 @@ -831026,13 +832690,13 @@ b(L'id\351e)21 b(est)g(la)f(suiv)-5 b(an)n(te)21 b(:)33 b(supp)r(osons)20 b(qu'on)116 1032 y(lance)g(un)g(ob)5 b(jet)20 b(horizon)n(talemen)n(t)e(un)j(p)r(eu)f(au-dessus)f(de)116 1132 y(la)34 b(surface)e(de)i(la)f(T)-7 b(erre.)54 b(App)r(elons)34 -b FG(v)j FT(la)c(vitesse)g(hor-)116 1231 y(izon)n(tale)k(initiale.)66 -b(Si)38 b FG(v)j FT(est)c(n)n(ulle,)j(l'ob)5 b(jet)38 +b FK(v)j FX(la)c(vitesse)g(hor-)116 1231 y(izon)n(tale)k(initiale.)66 +b(Si)38 b FK(v)j FX(est)c(n)n(ulle,)j(l'ob)5 b(jet)38 b(tom)n(b)r(e)f(en)116 1331 y(c)n(h)n(ute)29 b(libre.)43 -b(Si)30 b FG(v)i FT(est)e(non)f(n)n(ulle,)h(mais)f(p)r(etite,)i(l'ob)5 +b(Si)30 b FK(v)i FX(est)e(non)f(n)n(ulle,)h(mais)f(p)r(etite,)i(l'ob)5 b(jet)116 1430 y(est)22 b(en)g(mouv)n(emen)n(t)f(balistique)g(et)h(il)g (tom)n(b)r(e)g(sur)f(la)g(terre)116 1530 y(quelques)30 -b(m\350tres)g(plus)h(loin.)46 b(Plus)31 b FG(v)i FT(est)e(grande,)f +b(m\350tres)g(plus)h(loin.)46 b(Plus)31 b FK(v)i FX(est)e(grande,)f (plus)116 1630 y(la)20 b(distance)h(qu'il)f(parcourt)g(\340)g(la)g (surface)g(de)g(la)h(T)-7 b(erre)19 b(est)116 1729 y(grande.)33 b(Si)19 b(la)g(vitesse)f(est)h(assez)f(grande,)i(l'ob)5 @@ -831048,11 +832712,11 @@ b(alors)f(comme)h(s'il)g(la)g(ratait)g(en)116 2327 y(p)r(ermanence.)34 b(Ainsi,)23 b(il)e(p)r(eut)g(tom)n(b)r(er)g(sur)f(la)g(T)-7 b(erre)20 b(tout)116 2427 y(en)37 b(tournan)n(t)e(autour)h(d'elle.)64 b(La)36 b(\034gure)f(2.8)h(pr\351sen)n(te)116 2526 y(l'illustration)560 -2496 y FR(51)669 2526 y FT(utilis\351e)j(par)f(Newton)h(dans)f(les)h +2496 y FV(51)669 2526 y FX(utilis\351e)j(par)f(Newton)h(dans)f(les)h (prin-)116 2626 y(cipia)d(de)g(1728)d(p)r(our)j(expliquer)f(la)g(c)n(h) -n(ute)h(de)g(la)f(lune)1917 2596 y FR(c)116 2726 y FT(\(v)n(oir)27 -b(aussi)g(page)f(56\).)p 0 TeXcolorgray 0 TeXcolorgray -298 3010 a FF(Figure)j(2.7)h(\025)g FE(L'id\351)l(e)d(de)h(la)f(chute)i +n(ute)h(de)g(la)f(lune)1917 2596 y FV(c)116 2726 y FX(\(v)n(oir)27 +b(aussi)g(page)f(66\).)p 0 TeXcolorgray 0 TeXcolorgray +298 3010 a FJ(Figure)j(2.7)h(\025)g FI(L'id\351)l(e)d(de)h(la)f(chute)i (de)f(la)f(Lune)p 0 TeXcolorgray 395 4417 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 395 4417 @@ -831216,38 +832880,38 @@ tx@Dict begin PutEnd end 395 4417 a 395 4417 a tx@Dict begin { 57.18974 53.7754 } PutCoor PutBegin end - 395 4417 a 299 4446 a FT(T)-7 b(erre)395 + 395 4417 a 299 4446 a FX(T)-7 b(erre)395 4417 y tx@Dict begin PutEnd end 395 4417 a 395 4417 a tx@Dict begin { 57.18974 156.20479 } PutCoor PutBegin end - 395 4417 a 304 4446 a FT(Lune)395 + 395 4417 a 304 4446 a FX(Lune)395 4417 y tx@Dict begin PutEnd end 395 4417 a 395 4417 a tx@Dict begin { 72.55414 84.78877 } PutCoor PutBegin end - 395 4417 a 166 4446 a FT(Mouv)n(emen)n(ts) + 395 4417 a 166 4446 a FX(Mouv)n(emen)n(ts) 395 4417 y tx@Dict begin PutEnd end 395 4417 a 395 4417 a tx@Dict begin { 131.73557 135.43442 } PutCoor PutBegin end 395 4417 a 183 4446 -a FT(Mouv)n(emen)n(t)395 4417 y +a FX(Mouv)n(emen)n(t)395 4417 y tx@Dict begin PutEnd end 395 4417 a 395 4417 a tx@Dict begin { 137.14154 126.89864 } PutCoor PutBegin end -395 4417 a 229 4446 a FT(circulaire)395 4417 y +395 4417 a 229 4446 a FX(circulaire)395 4417 y tx@Dict begin PutEnd end 395 4417 a 395 4417 a tx@Dict begin { 39.83365 129.7439 } PutCoor PutBegin end - 395 4417 a 285 4446 a FT(Ch)n(ute)395 4417 + 395 4417 a 285 4446 a FX(Ch)n(ute)395 4417 y tx@Dict begin PutEnd end 395 4417 a 395 4417 a tx@Dict begin { 42.39436 120.35452 } PutCoor PutBegin end - 395 4417 a 314 4446 a FT(libre)395 + 395 4417 a 314 4446 a FX(libre)395 4417 y tx@Dict begin PutEnd end 395 4417 a 395 4417 a @@ -831366,7 +833030,7 @@ tx@Dict begin PutEnd end 395 4417 a 395 4417 a tx@Dict begin { 80.52087 73.40773 } PutCoor PutBegin end 395 4417 a 204 4438 -a FT(balistiques)395 4417 y +a FX(balistiques)395 4417 y tx@Dict begin PutEnd end 395 4417 a 395 4417 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end @@ -831413,14 +833077,14 @@ end @endspecial 395 4417 a tx@Dict begin PutEnd end - 395 4417 a 0 TeXcolorgray 199 4613 a FT(De)29 + 395 4417 a 0 TeXcolorgray 199 4613 a FX(De)29 b(fa\347on)e(plus)h(d\351taill\351e,)g(mais)f(partiellemen)n(t)g(inex-) 116 4712 y(acte)i(comme)g(nous)g(le)g(v)n(errons)e(plus)i(tard,)g(on)g (p)r(ourrait)116 4812 y(dire)f(que)f(la)h(Lune)f(tom)n(b)r(e)h(sur)f (la)h(T)-7 b(erre)26 b(d'une)j(hauteur)116 4911 y(\351gale)36 b(\340)h(la)f(distance)h(T)-7 b(erre-Lune)36 b(en)h(un)g(quart)f(de)h -(la)p 0 TeXcolorgray 116 5015 734 4 v 212 5068 a Fz(c)243 -5091 y Fy(A)-8 b(v)n(ec)23 b(mes)f(plus)g(vifs)f(remerciemen)n(ts)i +(la)p 0 TeXcolorgray 116 5015 734 4 v 212 5068 a FD(c)243 +5091 y FC(A)-8 b(v)n(ec)23 b(mes)f(plus)g(vifs)f(remerciemen)n(ts)i (\340)g(Emilio)d(Segr\350)k(Visual)116 5170 y(Arc)n(hiv)n(es)i(p)r(our) f(son)g(autorisation)h(de)f(repro)r(duire)i(ici)d(cette)i(mag-)116 5249 y(ni\034que)33 b(illustration)g(de)g(Newton)g(tir\351e)g(des)g @@ -831429,7 +833093,7 @@ b(la)d(relation)h(en)n(tre)h(c)n(h)n(ute)g(et)e(satellisation.)66 b(On)35 b(la)116 5407 y(trouv)n(e)26 b(aussi)d(dans)h(\(Lindemann,)f (1999,)i(p.)31 b(164\).)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 2215 589 -a FF(Figure)f(2.8)g(\025)f FE(L'id\351)l(e)f(de)g(la)f(chute)i(de)f(la) +a FJ(Figure)f(2.8)g(\025)f FI(L'id\351)l(e)f(de)g(la)f(chute)i(de)f(la) f(Lune)2519 681 y(Il)t(lustr)l(ation)h(des)g(Principia.)p 0 TeXcolorgray 2184 2886 a @beginspecial 14 @llx 14 @lly 642 @urx 871 @ury 1842 @rwi @setspecial @@ -965381,11 +967045,11 @@ end %%EOF %%EndDocument - @endspecial 0 TeXcolorgray 2034 3128 a FT(p)r(\351rio)r(de)j(de)h + @endspecial 0 TeXcolorgray 2034 3128 a FX(p)r(\351rio)r(de)j(de)h (rotation)f(de)g(la)h(Lune)f(autour)g(de)h(la)f(T)-7 b(erre)2034 3228 y(\(cf.)38 b(\034gure)26 b(2.9\).)p -0 TeXcolorgray 0 TeXcolorgray 2201 3492 a FF(Figure)k(2.9)f(\025)h -FE(Chute)e(de)g(la)f(Lune)h(sur)h(la)e(T)-6 b(err)l(e)p +0 TeXcolorgray 0 TeXcolorgray 2201 3492 a FJ(Figure)k(2.9)f(\025)h +FI(Chute)e(de)g(la)f(Lune)h(sur)h(la)e(T)-6 b(err)l(e)p 0 TeXcolorgray 2321 4734 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2321 4734 a 2321 4734 a @@ -965538,18 +967202,18 @@ end @endspecial 2321 4734 a tx@Dict begin { 57.18974 38.69556 } PutCoor PutBegin end - 2321 4734 a 2225 4762 a FT(T)f(erre)2321 + 2321 4734 a 2225 4762 a FX(T)f(erre)2321 4734 y tx@Dict begin PutEnd end 2321 4734 a 2321 4734 a tx@Dict begin { 73.12318 92.47096 } PutCoor PutBegin end 2321 4734 a 2225 4753 -a FG(d)2268 4765 y Fw(T)9 b Fx(\000)p Fw(L)2321 4734 +a FK(d)2268 4765 y FA(T)9 b FB(\000)p FA(L)2321 4734 y tx@Dict begin PutEnd end 2321 4734 a 2321 4734 a tx@Dict begin { 117.50926 45.8087 } PutCoor PutBegin end - 2321 4734 a 2231 4762 a FT(Lune)2321 + 2321 4734 a 2231 4762 a FX(Lune)2321 4734 y tx@Dict begin PutEnd end 2321 4734 a 2321 4734 a @@ -965640,7 +967304,7 @@ moveto exch arc mtrx setmatrix gsave 0.28453 SLW 0 setgray 1. .setopacityalpha @endspecial 2321 4734 a tx@Dict begin PutEnd end - 2321 4734 a 0 TeXcolorgray 2117 4909 a FT(De)34 + 2321 4734 a 0 TeXcolorgray 2117 4909 a FX(De)34 b(cette)g(mani\350re,)h(on)e(p)r(eut)i(calculer)d(la)i(v)-5 b(aleur)33 b(de)2034 5008 y(l'acc\351l\351ration)43 b(que)h(devrait)g (a)n(v)n(oir)f(la)h(Lune)g(dans)h(sa)2034 5108 y(c)n(h)n(ute)e(sur)f @@ -965653,33 +967317,33 @@ h(est)g(un)h(MR)n(UA,)g(on)f(p)r(ourrait)p 0 TeXcolorgray 1951 5617 a(46)p 0 TeXcolorgray eop end %%Page: 47 47 TeXDict begin 47 46 bop 0 TeXcolorgray 0 TeXcolorgray --116 262 a FM(CHAPTER)29 b(2.)64 b(LA)28 b(CIN\311MA)-7 +-116 262 a FQ(CHAPTER)29 b(2.)64 b(LA)28 b(CIN\311MA)-7 b(TIQUE)1216 b(2.5.)64 b(MOUVEMENTS)29 b(SIMPLES)p -116 -296 3753 4 v 0 TeXcolorgray -116 525 a FT(en)e(e\033et)i(\351crire)d(:) -78 756 y FG(h)d FH(=)g FG(d)280 768 y Fw(T)9 b(er)r(r)r(e)p -Fx(\000)p Fw(Lune)693 756 y FH(=)791 700 y(1)p 791 737 -42 4 v 791 813 a(2)842 756 y FG(a)14 b FB(\267)g FG(t)967 -722 y FA(2)1027 756 y FH(=)1125 700 y(1)p 1125 737 V -1125 813 a(2)1176 756 y FG(a)g FB(\267)1284 639 y Fm(\022)1356 -700 y FG(T)p 1356 737 61 4 v 1365 813 a FH(4)1426 639 -y Fm(\023)1487 656 y FA(2)-116 986 y FT(o\371)30 b(T)h(est)g(la)g(p)r +296 3753 4 v 0 TeXcolorgray -116 525 a FX(en)e(e\033et)i(\351crire)d(:) +78 756 y FK(h)d FL(=)g FK(d)280 768 y FA(T)9 b(er)r(r)r(e)p +FB(\000)p FA(Lune)693 756 y FL(=)791 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NP BSt 9 eq BSt 11 eq or{0 4 h{dup 0 +exch MT w exch LT}for}if BSt 10 eq BSt 11 eq or{0 4 w{dup 0 MT h LT}for}if +BSt 12 eq BSt 14 eq or{w h gt{0 6 w h add{dup 0 MT h sub h LT}for}{0 6 w h +add{dup 0 exch MT w sub w exch LT}for}ie}if BSt 13 eq BSt 14 eq or{w h gt{0 +6 w h add{dup h MT h sub 0 LT}for}{0 6 w h add{dup w exch MT w sub 0 exch LT +}for}ie}if S}if BSt 24 eq{}if grestore}D/mat matrix d/ang1 D0/ang2 D0/w D0/h +D0/x D0/y D0/ARC{/ang2 ED/ang1 ED/h ED/w ED/y ED/x ED mat CM pop x w 2 div +add y h 2 div add TR 1 h w div neg scale ang2 0 ge{0 0 w 2 div ang1 ang1 +ang2 add arc}{0 0 w 2 div ang1 ang1 ang2 add arcn}ie mat SM}D/C D0/P{NP MT +0.5 0.5 rmoveto 0 -1 RL -1 0 RL 0 1 RL CP fill}D/M{/Cy ED/Cx ED}D/L{NP Cx Cy +MT/Cy ED/Cx ED Cx Cy LT QS}D/DL{NP MT LT QS}D/HL{1 i DL}D/VL{2 i exch DL}D/R +{/h ED/w ED/y ED/x ED NP x y MT 0 h RL w 0 RL 0 h neg RL CP BF QS}D/ACR{/h +ED/w ED/y ED/x ED x y MT 0 h RL w 0 RL 0 h neg RL CP}D/xr D0/yr D0/rx D0/ry +D0/rx2 D0/ry2 D0/RR{/yr ED/xr ED/h ED/w ED/y ED/x ED xr 0 le yr 0 le or{x y +w h R}{xr 100 ge yr 100 ge or{x y w h E}{/rx xr w mul 200 div d/ry yr h mul +200 div d/rx2 rx 2 mul d/ry2 ry 2 mul d NP x rx add y MT x y rx2 ry2 180 -90 +x y h add ry2 sub rx2 ry2 270 -90 x w add rx2 sub y h add ry2 sub rx2 ry2 0 +-90 x w add rx2 sub y rx2 ry2 90 -90 ARC ARC ARC ARC CP BF QS}ie}ie}D/E{/h +ED/w ED/y ED/x ED mat CM pop x w 2 div add y h 2 div add TR 1 h w div scale +NP 0 0 w 2 div 0 360 arc mat SM BF QS}D/A{16 div exch 16 div exch NP ARC QS} +D/PIE{/ang2 ED/ang1 ED/h ED/w ED/y ED/x ED NP x w 2 div add y h 2 div add MT +x y w h ang1 16 div ang2 16 div ARC CP BF QS}D/CH{16 div exch 16 div exch NP +ARC CP BF QS}D/BZ{curveto QS}D/CRGB{255 div 3 1 roll 255 div 3 1 roll 255 +div 3 1 roll}D/BC{CRGB BkCol sp}D/BR{CRGB BCol sp/BSt ED}D/WB{1 W BR}D/NB{0 +B BR}D/PE{setlinejoin setlinecap CRGB PCol sp/LWi ED/PSt ED LWi 0 eq{0.25 +/LWi ED}if PCol SC}D/P1{1 0 5 2 roll 0 0 PE}D/ST{defM SM concat}D/MF{true +exch true exch{exch pop exch pop dup 0 get dup findfont dup/FontName get 3 +-1 roll eq{exit}if}forall exch dup 1 get/fxscale ED 2 get/fslant ED exch +/fencoding ED[fxscale 0 fslant 1 0 0]makefont fencoding false eq{}{dup +maxlength dict begin{1 i/FID ne{def}{pop pop}ifelse}forall/Encoding +fencoding d currentdict end}ie definefont pop}D/MFEmb{findfont dup length +dict begin{1 i/FID ne{d}{pop pop}ifelse}forall/Encoding ED currentdict end +definefont pop}D/DF{findfont/fs 3 -1 roll d[fs 0 0 fs -1 mul 0 0]makefont d} +D/ty 0 d/Y{/ty ED}D/Tl{gsave SW NP 1 i exch MT 1 i 0 RL S grestore}D/XYT{ty +MT/xyshow where{pop pop xyshow}{exch pop 1 i dup length 2 div exch +stringwidth pop 3 -1 roll exch sub exch div exch 0 exch ashow}ie}D/AT{ty MT +1 i dup length 2 div exch stringwidth pop 3 -1 roll exch sub exch div exch 0 +exch ashow}D/QI{/C save d pageinit/Cx 0 d/Cy 0 d/OMo false d}D/QP{C restore +showpage}D/SPD{/setpagedevice where{1 DB 3 1 roll d end setpagedevice}{pop +pop}ie}D/SV{BSt LWi PSt Cx Cy WFi OMo BCol PCol BkCol/nS nS 1 add d gsave}D +/RS{nS 0 gt{grestore/BkCol ED/PCol ED/BCol ED/OMo ED/WFi ED/Cy ED/Cx ED/PSt +ED/LWi ED/BSt ED/nS nS 1 sub d}if}D/CLSTART{/clipTmp matrix CM d defM SM NP} +D/CLEND{clip NP clipTmp SM}D/CLO{grestore gsave defM SM}D + +/LArr[ [] [] [ 13.333 4.000 ] [ 4.000 13.333 ] [ 4.000 4.000 ] [ 4.000 4.000 ] [ 6.667 4.000 4.000 4.000 ] [ 4.000 6.667 4.000 4.000 ] [ 6.667 4.000 4.000 4.000 4.000 ] [ 4.000 6.667 4.000 4.000 4.000 4.000 ] ] d +/pageinit { +36 24 translate +% 26*57 mm (landscape) + 90 rotate 0.75 -0.75 scale/defM matrix CM d } d +% Fonts and encodings used +/BitstreamVeraSans-RomanList [ +[ /BitstreamVeraSans-Roman 1.0 0.0 ] + [ /BitstreamVeraSans 1.0 0.0 ] + [ /Helvetica 0.988 0.000 ] +] d +25 dict begin +/_d{bind def}bind def +/_m{moveto}_d +/_l{lineto}_d +/_cl{closepath eofill}_d +/_c{curveto}_d +/_sc{7 -1 roll{setcachedevice}{pop pop pop pop pop pop}ifelse}_d +/_e{exec}_d +/FontName /BitstreamVeraSans-Roman def +/PaintType 0 def +/FontMatrix[.001 0 0 .001 0 0]def +/FontBBox[-182 -235 1287 928]def +/FontType 3 def +/Encoding StandardEncoding def +/FontInfo 10 dict dup begin +/FamilyName (Bitstream Vera Sans) def +/FullName (Bitstream Vera Sans) def +/Notice (Copyright (c) 2003 by Bitstream, Inc. All Rights Reserved. Bitstream Vera is a trademark of Bitstream, Inc.) def +/Weight (Roman) def +/Version (Release 1.10) def +/ItalicAngle 0.0 def +/isFixedPitch false def +/UnderlinePosition -213 def +/UnderlineThickness 143 def +end readonly def +/CharStrings 22 dict dup begin +/.notdef{600 0 50 -176 550 705 _sc +50 -176 _m +50 705 _l +550 705 _l +550 -176 _l +50 -176 _l +106 -120 _m +494 -120 _l +494 649 _l +106 649 _l +106 -120 _l +_cl}_d +/space{318 0 0 0 0 0 _sc +}_d +/parenleft{390 0 86 -131 310 759 _sc +310 759 _m +266 683 234 609 213 536 _c +191 463 181 389 181 314 _c +181 238 191 164 213 91 _c +234 17 266 -56 310 -131 _c +232 -131 _l +183 -54 146 20 122 94 _c +98 168 86 241 86 314 _c +86 386 98 459 122 533 _c +146 607 182 682 232 759 _c +310 759 _l +_cl}_d +/parenright{390 0 80 -131 304 759 _sc +80 759 _m +158 759 _l +206 682 243 607 267 533 _c +291 459 304 386 304 314 _c +304 241 291 168 267 94 _c +243 20 206 -54 158 -131 _c +80 -131 _l +123 -56 155 17 177 91 _c +198 164 209 238 209 314 _c +209 389 198 463 177 536 _c +155 609 123 683 80 759 _c +_cl}_d +/hyphen{361 0 49 234 312 314 _sc +49 314 _m +312 314 _l +312 234 _l +49 234 _l +49 314 _l +_cl}_d +/zero{636 0 66 -13 570 742 _sc +318 664 _m +267 664 229 639 203 589 _c +177 539 165 464 165 364 _c +165 264 177 189 203 139 _c +229 89 267 64 318 64 _c +369 64 407 89 433 139 _c +458 189 471 264 471 364 _c +471 464 458 539 433 589 _c +407 639 369 664 318 664 _c +318 742 _m +399 742 461 709 505 645 _c +548 580 570 486 570 364 _c +570 241 548 147 505 83 _c +461 19 399 -13 318 -13 _c +236 -13 173 19 130 83 _c +87 147 66 241 66 364 _c +66 486 87 580 130 645 _c +173 709 236 742 318 742 _c +_cl}_d +/one{636 0 110 0 544 729 _sc +124 83 _m +285 83 _l +285 639 _l +110 604 _l +110 694 _l +284 729 _l +383 729 _l +383 83 _l +544 83 _l +544 0 _l +124 0 _l +124 83 _l +_cl}_d +/two{{636 0 73 0 536 742 _sc +192 83 _m +536 83 _l +536 0 _l +73 0 _l +73 83 _l +110 121 161 173 226 239 _c +290 304 331 346 348 365 _c +380 400 402 430 414 455 _c +426 479 433 504 433 528 _c +433 566 419 598 392 622 _c +365 646 330 659 286 659 _c +255 659 222 653 188 643 _c +154 632 117 616 78 594 _c +78 694 _l +118 710 155 722 189 730 _c +223 738 255 742 284 742 _c +359 742 419 723 464 685 _c +509 647 532 597 532 534 _c +532 504 526 475 515 449 _c +504 422 484 390 454 354 _c +446 344 420 317 376 272 _c +332 227 271 164 192 83 _c +_cl}_e}_d +/three{{636 0 76 -13 556 742 _sc +406 393 _m +453 383 490 362 516 330 _c +542 298 556 258 556 212 _c +556 140 531 84 482 45 _c +432 6 362 -13 271 -13 _c +240 -13 208 -10 176 -4 _c +144 1 110 10 76 22 _c +76 117 _l +103 101 133 89 166 81 _c +198 73 232 69 268 69 _c +330 69 377 81 409 105 _c +441 129 458 165 458 212 _c +458 254 443 288 413 312 _c +383 336 341 349 287 349 _c +202 349 _l +202 430 _l +291 430 _l +339 430 376 439 402 459 _c +428 478 441 506 441 543 _c +441 580 427 609 401 629 _c +374 649 336 659 287 659 _c +260 659 231 656 200 650 _c +169 644 135 635 98 623 _c +98 711 _l +135 721 170 729 203 734 _c +235 739 266 742 296 742 _c +}_e{370 742 429 725 473 691 _c +517 657 539 611 539 553 _c +539 513 527 479 504 451 _c +481 423 448 403 406 393 _c +_cl}_e}_d +/four{636 0 49 0 580 729 _sc +378 643 _m +129 254 _l +378 254 _l +378 643 _l +352 729 _m +476 729 _l +476 254 _l +580 254 _l +580 172 _l +476 172 _l +476 0 _l +378 0 _l +378 172 _l +49 172 _l +49 267 _l +352 729 _l +_cl}_d +/five{{636 0 77 -13 549 729 _sc +108 729 _m +495 729 _l +495 646 _l +198 646 _l +198 467 _l +212 472 227 476 241 478 _c +255 480 270 482 284 482 _c +365 482 429 459 477 415 _c +525 370 549 310 549 234 _c +549 155 524 94 475 51 _c +426 8 357 -13 269 -13 _c +238 -13 207 -10 175 -6 _c +143 -1 111 6 77 17 _c +77 116 _l +106 100 136 88 168 80 _c +199 72 232 69 267 69 _c +323 69 368 83 401 113 _c +433 143 450 183 450 234 _c +450 284 433 324 401 354 _c +368 384 323 399 267 399 _c +241 399 214 396 188 390 _c +162 384 135 375 108 363 _c +108 729 _l +_cl}_e}_d +/equal{838 0 106 172 732 454 _sc +106 454 _m +732 454 _l +732 372 _l +106 372 _l +106 454 _l +106 255 _m +732 255 _l +732 172 _l +106 172 _l +106 255 _l +_cl}_d +/T{611 0 -2 0 614 729 _sc +-2 729 _m +614 729 _l +614 646 _l +355 646 _l +355 0 _l +256 0 _l +256 646 _l +-2 646 _l +-2 729 _l +_cl}_d +/V{684 0 8 0 676 729 _sc +286 0 _m +8 729 _l +111 729 _l +342 115 _l +573 729 _l +676 729 _l +398 0 _l +286 0 _l +_cl}_d +/e{{615 0 55 -13 562 560 _sc +562 296 _m +562 252 _l +149 252 _l +153 190 171 142 205 110 _c +238 78 284 62 344 62 _c +378 62 412 66 444 74 _c +476 82 509 95 541 113 _c +541 28 _l +509 14 476 3 442 -3 _c +408 -9 373 -13 339 -13 _c +251 -13 182 12 131 62 _c +80 112 55 181 55 268 _c +55 357 79 428 127 481 _c +175 533 241 560 323 560 _c +397 560 455 536 498 489 _c +540 441 562 377 562 296 _c +472 322 _m +471 371 457 410 431 440 _c +404 469 368 484 324 484 _c +274 484 234 469 204 441 _c +174 413 156 373 152 322 _c +472 322 _l +_cl}_e}_d +/i{278 0 94 0 184 760 _sc +94 547 _m +184 547 _l +184 0 _l +94 0 _l +94 547 _l +94 760 _m +184 760 _l +184 646 _l +94 646 _l +94 760 _l +_cl}_d +/m{{974 0 91 0 889 560 _sc +520 442 _m +542 482 569 511 600 531 _c +631 550 668 560 711 560 _c +767 560 811 540 842 500 _c +873 460 889 403 889 330 _c +889 0 _l +799 0 _l +799 327 _l +799 379 789 418 771 444 _c +752 469 724 482 686 482 _c +639 482 602 466 575 435 _c +548 404 535 362 535 309 _c +535 0 _l +445 0 _l +445 327 _l +445 379 435 418 417 444 _c +398 469 369 482 331 482 _c +285 482 248 466 221 435 _c +194 404 181 362 181 309 _c +181 0 _l +91 0 _l +91 547 _l +181 547 _l +181 462 _l +201 495 226 520 255 536 _c +283 552 317 560 357 560 _c +397 560 430 550 458 530 _c +486 510 506 480 520 442 _c +}_e{_cl}_e}_d +/p{{635 0 91 -207 580 560 _sc +181 82 _m +181 -207 _l +91 -207 _l +91 547 _l +181 547 _l +181 464 _l +199 496 223 520 252 536 _c +281 552 316 560 356 560 _c +422 560 476 533 518 481 _c +559 428 580 359 580 273 _c +580 187 559 117 518 65 _c +476 13 422 -13 356 -13 _c +316 -13 281 -5 252 10 _c +223 25 199 49 181 82 _c +487 273 _m +487 339 473 390 446 428 _c +418 466 381 485 334 485 _c +286 485 249 466 222 428 _c +194 390 181 339 181 273 _c +181 207 194 155 222 117 _c +249 79 286 61 334 61 _c +381 61 418 79 446 117 _c +473 155 487 207 487 273 _c +_cl}_e}_d +/s{{521 0 54 -13 472 560 _sc +443 531 _m +443 446 _l +417 458 391 468 364 475 _c +336 481 308 485 279 485 _c +234 485 200 478 178 464 _c +156 450 145 430 145 403 _c +145 382 153 366 169 354 _c +185 342 217 330 265 320 _c +296 313 _l +360 299 405 279 432 255 _c +458 230 472 195 472 151 _c +472 100 452 60 412 31 _c +372 1 316 -13 246 -13 _c +216 -13 186 -10 154 -5 _c +122 0 89 8 54 20 _c +54 113 _l +87 95 120 82 152 74 _c +184 65 216 61 248 61 _c +290 61 323 68 346 82 _c +368 96 380 117 380 144 _c +380 168 371 187 355 200 _c +339 213 303 226 247 238 _c +216 245 _l +160 257 119 275 95 299 _c +70 323 58 356 58 399 _c +58 450 76 490 112 518 _c +148 546 200 560 268 560 _c +}_e{301 560 332 557 362 552 _c +391 547 418 540 443 531 _c +_cl}_e}_d +/t{392 0 27 0 368 702 _sc +183 702 _m +183 547 _l +368 547 _l +368 477 _l +183 477 _l +183 180 _l +183 135 189 106 201 94 _c +213 81 238 75 276 75 _c +368 75 _l +368 0 _l +276 0 _l +206 0 158 13 132 39 _c +106 65 93 112 93 180 _c +93 477 _l +27 477 _l +27 547 _l +93 547 _l +93 702 _l +183 702 _l +_cl}_d +/v{592 0 30 0 562 547 _sc +30 547 _m +125 547 _l +296 88 _l +467 547 _l +562 547 _l +357 0 _l +235 0 _l +30 547 _l +_cl}_d +/x{592 0 29 0 559 547 _sc +549 547 _m +351 281 _l +559 0 _l +453 0 _l +294 215 _l +135 0 _l +29 0 _l +241 286 _l +47 547 _l +153 547 _l +298 352 _l +443 547 _l +549 547 _l +_cl}_d +end readonly def + +/BuildGlyph + {exch begin + CharStrings exch + 2 copy known not{pop /.notdef}if + true 3 1 roll get exec + end}_d + +/BuildChar { + 1 index /Encoding get exch get + 1 index /BuildGlyph get exec +}_d + +FontName currentdict end definefont pop +%% Font Page 00 +/BitstreamVeraSans-Roman-ENC-00 [ +/.notdef/T/e/m/p/s/space/t/V/i/v/parenleft/parenright/zero/one/two/three/four +/five/equal/hyphen/x/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef] def +/BitstreamVeraSans-Roman-Uni-00 BitstreamVeraSans-Roman-ENC-00 /BitstreamVeraSans-Roman MFEmb +25 dict begin +/FontName /BitstreamVeraSans-Roman-Uni def +/PaintType 0 def +/FontMatrix[1 0 0 1 0 0]def +/FontType 0 def +/FMapType 2 def +/Encoding [ +0]def +/FDepVector [ +/BitstreamVeraSans-Roman-Uni-00 findfont +]def +FontName currentdict end definefont pop +/F1 20/BitstreamVeraSans-Roman-Uni DF +/F2 13.3333/BitstreamVeraSans-Roman-Uni DF +/F3 10.6667/BitstreamVeraSans-Roman-Uni DF +QI +[1 0 0 1 0 0]ST +0 0 B 0 0 PE +WB +W BC +0 0 600 400 R +0 0 600 400 R +89 59 480 280 R +[1 0 0 1 292 369]ST +B P1 +F1 F +20 Y<0001000200030004000500060007>[12 0 12 0 19 0 12 0 10 0 6 0 0 0]79 0 XYT +[-1.83691e-16 -1 1 -1.83691e-16 20 264]ST +B P1 +<00080009000700020005000500020006000A000B0007000C>[13 0 5 0 8 0 12 0 10 0 10 0 12 0 6 0 12 0 8 0 8 0 0 0]112 0 XYT +[1 0 0 1 0 0]ST +1 1 B 0 0 PE +89 349 339 VL +[1 0 0 1 89 360]ST +B P1 +F2 F +6 Y<000D>[0 0]8 -4 XYT +[1 0 0 1 0 0]ST +1 1 B 0 0 PE +114 344 339 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b(puissance)f(par)h(unit\351)g(de)h(surface)e (inciden)n(te)2200 3907 y(sur)27 b(le)h(capteur,)p 0 -TeXcolorgray 2117 4073 a FB(\210)p 0 TeXcolorgray 42 -w FG(S)k FT(la)c(surface)e(totale)i(des)f(capteurs,)p -0 TeXcolorgray 2117 4239 a FB(\210)p 0 TeXcolorgray 42 -w FG(B)32 b FT(le)c(rendemen)n(t)f(optique,)p 0 TeXcolorgray -2117 4405 a FB(\210)p 0 TeXcolorgray 42 w FG(K)33 b FT(le)28 +TeXcolorgray 2117 4073 a FF(\210)p 0 TeXcolorgray 42 +w FK(S)k FX(la)c(surface)e(totale)i(des)f(capteurs,)p +0 TeXcolorgray 2117 4239 a FF(\210)p 0 TeXcolorgray 42 +w FK(B)32 b FX(le)c(rendemen)n(t)f(optique,)p 0 TeXcolorgray +2117 4405 a FF(\210)p 0 TeXcolorgray 42 w FK(K)33 b FX(le)28 b(c\367\036cien)n(t)f(des)g(p)r(ertes)h(du)g(capteur,)p -0 TeXcolorgray 2117 4570 a FB(\210)p 0 TeXcolorgray 42 -w FG(T)2249 4582 y Fw(i)2304 4570 y FT(la)f(temp)r(\351rature)g(\340)g +0 TeXcolorgray 2117 4570 a FF(\210)p 0 TeXcolorgray 42 +w FK(T)2249 4582 y FA(i)2304 4570 y FX(la)f(temp)r(\351rature)g(\340)g (l'in)n(t\351rieur)g(du)h(capteur)f(et)p 0 TeXcolorgray -2117 4736 a FB(\210)p 0 TeXcolorgray 42 w FG(T)2249 4748 -y Fw(e)2312 4736 y FT(la)g(temp)r(\351rature)g(\340)g(l'ext\351rieur,) -2117 4943 y(la)g(puissance)g(utile)h FH(\001)p FG(P)40 -b FT(est)27 b(alors)f(donn\351e)i(par)e(:)2269 5125 y -FH(\001)p FG(P)35 b FH(=)22 b FG(S)d FB(\267)14 b FH(\()p -FG(B)k FB(\267)c FG(P)30 b Fv(\000)18 b FG(K)i FB(\267)13 -b FH(\()p FG(T)3144 5137 y Fw(i)3190 5125 y Fv(\000)18 -b FG(T)3322 5137 y Fw(e)3358 5125 y FH(\)\))235 b FT(\(4.14\))2034 +2117 4736 a FF(\210)p 0 TeXcolorgray 42 w FK(T)2249 4748 +y FA(e)2312 4736 y FX(la)g(temp)r(\351rature)g(\340)g(l'ext\351rieur,) +2117 4943 y(la)g(puissance)g(utile)h FL(\001)p FK(P)40 +b FX(est)27 b(alors)f(donn\351e)i(par)e(:)2269 5125 y +FL(\001)p FK(P)35 b FL(=)22 b FK(S)d FF(\267)14 b FL(\()p +FK(B)k FF(\267)c FK(P)30 b Fz(\000)18 b FK(K)i FF(\267)13 +b FL(\()p FK(T)3144 5137 y FA(i)3190 5125 y Fz(\000)18 +b FK(T)3322 5137 y FA(e)3358 5125 y FL(\)\))235 b FX(\(7.14\))2034 5307 y(T)n(ypiquemen)n(t,)35 b(on)e(a)g(un)g(c\367\036cien)n(t)g -FG(B)38 b FT(compris)32 b(en)n(tre)2034 5407 y(0,7)26 +FK(B)38 b FX(compris)32 b(en)n(tre)2034 5407 y(0,7)26 b(et)g(0,8)g(p)r(our)g(des)g(capteurs)g(plans,)g(un)h(c\367\036cien)n -(t)f FG(K)p 0 TeXcolorgray 1951 5617 a FT(84)p 0 TeXcolorgray +(t)f FK(K)p 0 TeXcolorgray 1930 5617 a FX(110)p 0 TeXcolorgray eop end -%%Page: 85 85 -TeXDict begin 85 84 bop 0 TeXcolorgray 0 TeXcolorgray --116 262 a FM(CHAPTER)29 b(4.)64 b(L'\311NER)n(GIE)1313 -b(4.9.)63 b(\311NER)n(GIES)30 b(RENOUVELABLES)p -116 +%%Page: 111 111 +TeXDict begin 111 110 bop 0 TeXcolorgray 0 TeXcolorgray +-116 262 a FQ(CHAPTER)29 b(7.)64 b(L'\311NER)n(GIE)1313 +b(7.9.)63 b(\311NER)n(GIES)30 b(RENOUVELABLES)p -116 296 3753 4 v 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray -1219 589 a FF(Figure)g(4.9)f(\025)h FE(Solair)l(e)e(thermique)1113 -656 y FD(Eau)d(chaude)f(sanitair)m(e)i(p)m(ar)e(solair)m(e)h(thermique) +1219 589 a FJ(Figure)g(7.9)f(\025)h FI(Solair)l(e)e(thermique)1113 +656 y FH(Eau)d(chaude)f(sanitair)m(e)i(p)m(ar)e(solair)m(e)h(thermique) p 0 TeXcolorgray 1760 759 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def 0.4 SLW 0 0 0 setrgbcolor [ 0.0 -170.71649 85.35825 -170.71649 85.35825 @@ -2431539,7 +2444581,7 @@ end @endspecial 1760 759 a tx@Dict begin { 89.6264 -91.75984 } PutCoor PutBegin end 1760 -759 a 18 x Fo(Chau\033age)1760 759 y +759 a 18 x Fs(Chau\033age)1760 759 y tx@Dict begin PutEnd end 1760 759 a @beginspecial @setspecial @@ -2431582,17 +2444624,17 @@ tx@Dict begin PutEnd end @endspecial 1760 759 a tx@Dict begin { 170.90013 -95.87889 } PutCoor PutBegin end - 1760 759 a 1596 784 a Fo(Sanitaires)1760 759 + 1760 759 a 1596 784 a Fs(Sanitaires)1760 759 y tx@Dict begin PutEnd end 1760 759 a 1760 759 a tx@Dict begin { 89.6264 -100.29619 } PutCoor PutBegin end - 1760 759 a 18 x Fo(d'app)r(oin)n(t)1760 + 1760 759 a 18 x Fs(d'app)r(oin)n(t)1760 759 y tx@Dict begin PutEnd end 1760 759 a 1760 759 a tx@Dict begin { 42.67912 -42.67912 } PutCoor PutBegin end - 1760 759 a 1631 784 a Fo(\020Boiler\021) + 1760 759 a 1631 784 a Fs(\020Boiler\021) 1760 759 y tx@Dict begin PutEnd end 1760 759 a @beginspecial @setspecial @@ -2431649,7 +2444691,7 @@ false Line gsave 0.4 SLW 1 0 0 setrgbcolor 1. .setopacityalpha @endspecial 1760 759 a tx@Dict begin { -98.16211 -170.71649 } PutCoor PutBegin end - 1760 759 a 18 x Fo(P)n(omp)r(e)g + 1760 759 a 18 x Fs(P)n(omp)r(e)g (r\351gulatrice)1760 759 y tx@Dict begin PutEnd end 1760 759 a 1760 759 a @@ -2431660,7 +2444702,7 @@ tx@Dict begin { -106.6978 -108.83188 } PutCoor PutBegin end 1760 759 a 1760 759 a tx@Dict begin ps@rot RotBegin end 1760 759 a 1456 -777 a Fo(Absorban)n(t/isolan)n(t)1760 759 y +777 a Fs(Absorban)n(t/isolan)n(t)1760 759 y tx@Dict begin RotEnd end 1760 759 a 1760 759 a @@ -2431672,7 +2444714,7 @@ a tx@Dict begin { -183.52036 -149.37692 } PutCoor PutBegin end 1760 759 a 1760 759 a tx@Dict begin ps@rot RotBegin end - 1760 759 a 18 x Fo(Vitrage)1760 + 1760 759 a 18 x Fs(Vitrage)1760 759 y tx@Dict begin RotEnd end 1760 759 a 1760 759 a @@ -2431685,7 +2444727,7 @@ tx@Dict begin { -170.71649 -156.20573 } PutCoor PutBegin end 1760 759 a 1760 759 a tx@Dict begin ps@rot RotBegin end 1760 759 a 25 -x Fo(E\033et)h(de)f(serre)1760 759 y +x Fs(E\033et)h(de)f(serre)1760 759 y tx@Dict begin RotEnd end 1760 759 a 1760 759 a @@ -2431697,7 +2444739,7 @@ tx@Dict begin { -98.16211 -115.23349 } PutCoor PutBegin end 1760 759 a 1760 759 a tx@Dict begin ps@rot RotBegin end - 1760 759 a 1575 777 a Fo(thermiques)1760 + 1760 759 a 1575 777 a Fs(thermiques)1760 759 y tx@Dict begin RotEnd end 1760 759 a 1760 759 a @@ -2431823,7 +2444865,7 @@ stroke grestore end @endspecial 1760 759 a tx@Dict begin { -192.05605 0.0 } PutCoor PutBegin end - 1760 759 a 25 x Fo(Flux)g(solaire)j(inciden)n(t)1760 + 1760 759 a 25 x Fs(Flux)g(solaire)j(inciden)n(t)1760 759 y tx@Dict begin PutEnd end 1760 759 a @beginspecial @setspecial @@ -2431838,28 +2444880,28 @@ false /DS 2.0 2. 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b(en)h(1905)d(:)36 b(l'e\033et)25 @@ -2433205,17 +2446247,17 @@ b(rendemen)n(t)g(couran)n(t)f(des)h(cellules)g(photo)r(\351lec-)1802 5208 y(triques)26 b(\(v)n(oir)g(\034gure)h(7.11\))f(actuelles)g(se)h (situe)h(en)n(tre)e(10)1802 5307 y(et)37 b(20\045)f(de)g(la)h (puissance)f(solaire)f(inciden)n(te)i(\(silicium)1802 -5407 y(p)r(olycristallin)42 b(:)70 b Fv(\030)p FT(13\045)42 -b(et)j(mono)r(cristallin)d(:)p Fv(\030)p FT(17\045\).)p -0 TeXcolorgray 1719 5617 a(85)p 0 TeXcolorgray eop end -%%Page: 86 86 -TeXDict begin 86 85 bop 0 TeXcolorgray 0 TeXcolorgray -116 262 a FM(4.9.)64 b(\311NER)n(GIES)29 b(RENOUVELABLES)1313 -b(CHAPTER)29 b(4.)64 b(L'\311NER)n(GIE)p 116 296 3753 +5407 y(p)r(olycristallin)42 b(:)70 b Fz(\030)p FX(13\045)42 +b(et)j(mono)r(cristallin)d(:)p Fz(\030)p FX(17\045\).)p +0 TeXcolorgray 1698 5617 a(111)p 0 TeXcolorgray eop end +%%Page: 112 112 +TeXDict begin 112 111 bop 0 TeXcolorgray 0 TeXcolorgray +116 262 a FQ(7.9.)64 b(\311NER)n(GIES)29 b(RENOUVELABLES)1313 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a(1)23 b Fd(\026)28 b FX(\(micron\))416 +b(=)176 b FL(1)14 b FF(\267)g FL(10)1525 2553 y FB(\000)p +FE(6)1636 2583 y Fd(\026)p FL(m)p 1884 2613 V 180 2617 +1707 4 v 180 2716 4 100 v 233 2686 a(1)23 b(in)28 b FX(\(p)r(ouce\))438 +b(=)142 b FL(2)p FK(;)14 b FL(54)g FF(\267)e FL(10)1610 +2656 y FB(\000)p FE(2)1722 2686 y FL(m)p 1884 2716 V 180 2719 1707 4 v 180 2819 4 100 v 233 2789 a(1)23 b(ft)28 -b FT(\(pied\))h(=)e FH(12)22 b(in)212 b FT(=)g FH(0)p -FG(;)14 b FH(3048)21 b(m)p 1884 2819 V 180 2822 1707 -4 v 180 2922 4 100 v 233 2892 a(1)i(UA)28 b FT(\(unit\351)h(astro.\)) -175 b(=)131 b FH(1)p FG(;)14 b FH(496)g FB(\267)d FH(10)1640 -2862 y FA(11)1733 2892 y FH(m)p 1884 2922 V 180 2925 -1707 4 v 180 3025 4 100 v 233 2995 a(1)23 b(AL)28 b FT(\(ann\351e)f -(lumi\350re\))100 b(=)110 b FH(9)p FG(;)14 b FH(4607)g -FB(\267)d FH(10)1661 2965 y FA(15)1754 2995 y FH(m)p +b FX(\(pied\))h(=)e FL(12)22 b(in)212 b FX(=)g FL(0)p +FK(;)14 b FL(3048)21 b(m)p 1884 2819 V 180 2822 1707 +4 v 180 2922 4 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4397 y(\()p FL(10)2150 +4367 y FB(\000)p FE(2)2238 4397 y FX(\).)2034 4705 y +FN(A.7)131 b(Notation)44 b(scien)l(ti\034que)2034 4899 +y FX(A)e(ne)g(pas)f(confondre)f(a)n(v)n(ec)g(la)h(notation)g (d'ing\351nieur)2034 4998 y(\(par)h(m)n(ultiples)g(de)h -FH(10)2811 4968 y FA(3)2847 4998 y FT(\),)j(la)c(notation)g(scien)n -(ti\034que)g(:)2034 5098 y FB(\267)14 b FH(10)2155 5068 -y Fw(x)2196 5098 y FT(,)30 b(ou)f(x)g(est)g(un)h(nom)n(bre)e(en)n(tier) +FL(10)2811 4968 y FE(3)2847 4998 y FX(\),)j(la)c(notation)g(scien)n +(ti\034que)g(:)2034 5098 y FF(\267)14 b FL(10)2155 5068 +y FA(x)2196 5098 y FX(,)30 b(ou)f(x)g(est)g(un)h(nom)n(bre)e(en)n(tier) h(p)r(ositif)h(ou)f(n\351gatif,)2034 5197 y(p)r(eut)22 b(\352tre)e(utilis\351e)h(sur)f(une)h(mac)n(hine)f(\340)g(calculer)g (\340)g(l'aide)2034 5307 y(de)26 b(la)g(touc)n(he)53 @@ -2472822,130 +2530456,130 @@ V 2497 5336 232 4 v 56 w(ou)g(EE)p 2868 5225 170 4 v 2868 5334 4 111 v 3034 5334 V 2868 5336 170 4 v 56 w(.)36 b(Notez)26 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y(p)r(oin)n(t)21 b FG(P)12 -b FT(.)34 b(Si)21 b(ce)g(p)r(oin)n(t)g(est)g(sur)f(une)i(sph\350re,)f -(il)g(se)g(d\351place)p 0 TeXcolorgray 1698 5617 a(105)p +(osition)h(d'un)1802 5407 y(p)r(oin)n(t)21 b FK(P)12 +b FX(.)34 b(Si)21 b(ce)g(p)r(oin)n(t)g(est)g(sur)f(une)i(sph\350re,)f +(il)g(se)g(d\351place)p 0 TeXcolorgray 1698 5617 a(163)p 0 TeXcolorgray eop end -%%Page: 106 106 -TeXDict begin 106 105 bop 0 TeXcolorgray 0 TeXcolorgray -116 262 a FM(B.2.)64 b(COORDONN\311ES)29 b(SPH\311RIQUES)139 +%%Page: 164 164 +TeXDict begin 164 163 bop 0 TeXcolorgray 0 TeXcolorgray +116 262 a FQ(B.2.)64 b(COORDONN\311ES)29 b(SPH\311RIQUES)139 b(APPENDIX)30 b(B.)55 b(DEUX)29 b(SYST\310MES)h(DE)e(COORDONN\311ES)p -116 296 3753 4 v 0 TeXcolorgray 116 525 a FT(en)c(r\351alit\351)e(dans) +116 296 3753 4 v 0 TeXcolorgray 116 525 a FX(en)c(r\351alit\351)e(dans) h(un)h(espace)f(bidimensionnel.)35 b(Deux)24 b(co-)116 625 y(ordonn\351es)33 b(son)n(t)h(alors)e(n\351cessaires.)55 -b(Il)34 b(s'agit)g(des)g(an-)116 725 y(gles)f FG(')p -FT(,)i(nomm\351)f FQ(longitude)p FT(,)h(et)f FG(\022)r -FT(,)i(nomm\351)d FQ(c)l(olatitude)6 b FT(,)116 824 y(repr\351sen)n +b(Il)34 b(s'agit)g(des)g(an-)116 725 y(gles)f FK(')p +FX(,)i(nomm\351)f FU(longitude)p FX(,)h(et)f FK(\022)r +FX(,)i(nomm\351)d FU(c)l(olatitude)6 b FX(,)116 824 y(repr\351sen)n (t\351s)30 b(sur)h(la)g(\034gure)g(B.2.)48 b(Le)32 b(syst\350me)f(de)h (co)r(or-)116 924 y(donn\351es)21 b(sph\351riques)f(consiste)g(donc)h (en)g(ces)g(deux)g(seules)116 1023 y(co)r(ordonn\351es.)33 b(Mais,)21 b(on)f(leur)g(adjoin)n(t)g(souv)n(en)n(t)g(le)g(ra)n(y)n(on) -116 1123 y FG(R)40 b FT(\(bien)f(que)f(cela)g(ne)h(soit)f(pas)g(un)h +116 1123 y FK(R)40 b FX(\(bien)f(que)f(cela)g(ne)h(soit)f(pas)g(un)h (degr\351)e(de)i(lib)r(ert\351)116 1223 y(puisqu'il)28 b(est)g(constan)n(t\).)p 0 TeXcolorgray 0 TeXcolorgray -192 1490 a FF(Figure)i(B.2)f(\025)h FE(Syst\350me)f(de)f(c)l(o)l(or)l +192 1490 a FJ(Figure)i(B.2)f(\025)h FI(Syst\350me)f(de)f(c)l(o)l(or)l (donn\351)l(es)i(sph\351riques)p 0 TeXcolorgray 325 2951 a @beginspecial 0 @llx 0 @lly 128 @urx 122 @ury 1700 @rwi @setspecial @@ -2473449,8 +2531083,8 @@ showpage %EOF %%EndDocument - @endspecial 0 TeXcolorgray 116 3263 a FI(B.2.3)112 b(Latitude)37 -b(et)g(longitude)116 3416 y FT(Remarquons)22 b(\034nalemen)n(t)g(que)h + @endspecial 0 TeXcolorgray 116 3263 a FM(B.2.3)112 b(Latitude)37 +b(et)g(longitude)116 3416 y FX(Remarquons)22 b(\034nalemen)n(t)g(que)h (le)g(syst\350me)f(de)h(co)r(ordon-)116 3515 y(n\351es)35 b(utilis\351)h(p)r(our)f(rep)r(\351rer)f(un)i(ob)5 b(jet)35 b(\340)g(la)g(surface)g(de)116 3615 y(la)28 b(T)-7 b(erre)27 @@ -2473459,24 +2531093,24 @@ b(est)i(un)f(syst\350me)g(de)h(co)r(ordonn\351es)d(sph\351riques)116 (pr\351sen)n(t\351)g(ci-dessus)f(\(cf.)116 3814 y(B.2.2\).)43 b(En)31 b(e\033et,)g(il)f(est)g(presque)f(en)h(tout)g(p)r(oin)n(t)g (iden-)116 3914 y(tique,)j(\340)e(l'exception)g(de)h(l'angle)f -FG(\022)r FT(,)i(la)e(colatitude,)h(qui)116 4014 y(est)c(compt\351)f(p) +FK(\022)r FX(,)i(la)e(colatitude,)h(qui)116 4014 y(est)c(compt\351)f(p) r(ositiv)n(emen)n(t)h(\340)f(partir)g(du)g(plan)h(\351quateur)116 4113 y(\(x,y\))23 b(v)n(ers)f(le)h(nord)f(\(et)i(non)f(\340)f(partir)g (du)h(p)r(\364le)g(nord)f(v)n(ers)116 4213 y(le)32 b(sud)f(comme)h -(pr\351c\351demmen)n(t\).)49 b(L'angle)30 b FG(\022)k -FT(est)e(alors)116 4312 y(nomm\351)c FQ(latitude)34 b -FT(alors)26 b(que)h FG(')h FT(reste)f(la)h(longitude.)p +(pr\351c\351demmen)n(t\).)49 b(L'angle)30 b FK(\022)k +FX(est)e(alors)116 4312 y(nomm\351)c FU(latitude)34 b +FX(alors)26 b(que)h FK(')h FX(reste)f(la)h(longitude.)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 1930 5617 -a(106)p 0 TeXcolorgray eop end -%%Page: 107 107 -TeXDict begin 107 106 bop 0 TeXcolorgray 0 TeXcolorgray +a(164)p 0 TeXcolorgray eop end +%%Page: 165 165 +TeXDict begin 165 164 bop 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray -116 1105 9 231 v -116 -874 534 9 v -116 1197 a FL(Appendix)62 b FK(C)p 773 1197 +874 534 9 v -116 1197 a FP(Appendix)62 b FO(C)p 773 1197 2855 9 v 3628 1197 9 324 v 774 874 2863 9 v -116 1612 -a FN(Mesures)h(de)g(distances)p 0 TeXcolorgray 0 TeXcolorgray +a FR(Mesures)h(de)g(distances)p 0 TeXcolorgray 0 TeXcolorgray -116 2127 a(I)p 0 TeXcolorgray 0 TeXcolorgray -100 x -FP(l)31 b(est)g(ici)h(question)p 0 TeXcolorgray 23 w -FT(de)24 b(pr\351sen)n(ter)e(quelques)h(exem-)-7 2127 +FT(l)31 b(est)g(ici)h(question)p 0 TeXcolorgray 23 w +FX(de)24 b(pr\351sen)n(ter)e(quelques)h(exem-)-7 2127 y(ples)e(de)g(mesures)f(de)g(distances.)34 b(L'ob)5 b(jectif)21 b(est)g(de)g(se)-116 2227 y(rendre)29 b(compte)g(\340)h(la)f(fois)h(de) g(l'ing\351niosit\351)f(des)g(raison-)-116 2326 y(nemen)n(ts)f(mis)f @@ -2473488,8 +2531122,8 @@ g(son)n(t)f(pas)-116 2625 y(familiers)38 b(et)i(de)f(mieux)h (appr\351cier)e(les)h(connaissances)-116 2725 y(qui)d(se)g(trouv)n(en)n (t)f(derri\350re)f(les)i(c)n(hi\033res)f(que)h(les)g(tables)-116 2824 y(metten)n(t)28 b(\340)f(notre)g(disp)r(osition.)-116 -3115 y FJ(C.1)130 b(La)44 b(taille)h(de)f(la)g(T)-11 -b(erre)-116 3303 y FT(La)40 b(mesure)g(du)h(ra)n(y)n(on)e(de)i(la)f(T) +3115 y FN(C.1)130 b(La)44 b(taille)h(de)f(la)g(T)-11 +b(erre)-116 3303 y FX(La)40 b(mesure)g(du)h(ra)n(y)n(on)e(de)i(la)f(T) -7 b(erre)40 b(la)g(plus)h(conn)n(ue,)-116 3402 y(car)k(tr\350s)h (simple)g(et)h(historiquemen)n(t)e(tr\350s)h(ancienne,)-116 3502 y(est)38 b(celle)g(d'\311rathosth\350ne)g(\(284-192)d(a)n(v.)68 @@ -2473497,8 +2531131,8 @@ b(J.-C.\).)g(Le)-116 3602 y(princip)r(e)35 b(est)h(simple,)h(mais)e(la) g(mise)g(en)h(\367uvre)e(b)r(eau-)-116 3701 y(coup)g(moins)h(\351viden) n(te.)59 b(Nous)35 b(allons)f(successiv)n(emen)n(t)-116 3801 y(v)n(oir)26 b(c)n(hacune)h(de)h(ces)f(deux)g(\351tap)r(es.)-116 -4049 y FI(C.1.1)112 b(Le)38 b(princip)s(e)-116 4208 y -FT(Il)e(faut)h(tout)g(d'ab)r(ord)f(relev)n(er)f(que)h(nous)g(ne)h +4049 y FM(C.1.1)112 b(Le)38 b(princip)s(e)-116 4208 y +FX(Il)e(faut)h(tout)g(d'ab)r(ord)f(relev)n(er)f(que)h(nous)g(ne)h (connais-)-116 4308 y(sons)23 b(le)i(tra)n(v)-5 b(ail)23 b(d'\311rathosth\350ne)h(qu'\340)g(tra)n(v)n(ers)e(d'autres)-116 4408 y(auteurs)41 b(\(L'astronome)f(Cl\351om\350de,)45 @@ -2473517,7 +2531151,7 @@ b(de)h(l'\351cliptique.)56 b(On)33 b(y)h(v)n(oit)f(l'ancienne)h(ville)g (Assouan,)f(qui)h(se)g(trouv)n(e)-116 5407 y(sur)32 b(le)g(tropique)g (du)g(Cancer,)h(au)f(momen)n(t)g(du)g(solstice)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 2180 2091 -a FF(Figure)e(C.1)f(\025)h FE(T)-6 b(ail)t(le)26 b(de)i(la)f(terr)l(e)p +a FJ(Figure)e(C.1)f(\025)h FI(T)-6 b(ail)t(le)26 b(de)i(la)f(terr)l(e)p 0 TeXcolorgray 2005 3208 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2005 3208 a 2005 3208 a @@ -2473674,7 +2531308,7 @@ a tx@Dict begin { 82.22801 41.54082 } PutCoor PutBegin end 2005 3208 a 2005 3208 a tx@Dict begin ps@rot RotBegin end - 2005 3208 a 1837 3235 a FT(\311quateur)2005 + 2005 3208 a 1837 3235 a FX(\311quateur)2005 3208 y tx@Dict begin RotEnd end 2005 3208 a 2005 3208 a @@ -2473708,7 +2531342,7 @@ tx@Dict begin { 98.16148 112.38779 } PutCoor PutBegin end 2005 3208 a 2005 3208 a tx@Dict begin ps@rot RotBegin end - 2005 3208 a 1914 3237 a FT(Nord)2005 3208 y + 2005 3208 a 1914 3237 a FX(Nord)2005 3208 y tx@Dict begin RotEnd end 2005 3208 a 2005 3208 a @@ -2473721,20 +2531355,20 @@ tx@Dict begin { 22.76208 10.52745 } PutCoor PutBegin end 2005 3208 a 2005 3208 a tx@Dict begin ps@rot RotBegin end 2005 3208 a 1936 -3237 a FT(Sud)2005 3208 y +3237 a FX(Sud)2005 3208 y tx@Dict begin RotEnd end 2005 3208 a 2005 3208 a tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin { 132.02007 68.28625 } PutCoor PutBegin end - 2005 3208 a 1901 3228 a FT(Sy)n(\350ne)2005 + 2005 3208 a 1901 3228 a FX(Sy)n(\350ne)2005 3208 y tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin { 140.55585 83.93518 } PutCoor PutBegin end 2005 3208 a 1809 3237 -a FT(Alexandrie)2005 3208 y +a FX(Alexandrie)2005 3208 y tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end @@ -2473790,18 +2531424,18 @@ tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin { 146.24637 97.59244 } PutCoor PutBegin end 2005 -3208 a 1710 3228 a FT(Ra)n(y)n(ons)f(du)h(soleil)2005 +3208 a 1710 3228 a FX(Ra)n(y)n(ons)f(du)h(soleil)2005 3208 y tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin { 95.31622 85.64235 } PutCoor PutBegin end 2005 3208 a 1978 3226 -a FG(\013)2005 3208 y +a FK(\013)2005 3208 y tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin { 80.52087 67.14816 } PutCoor PutBegin end 2005 3208 -a 1978 3226 a FG(\013)2005 3208 y +a 1978 3226 a FK(\013)2005 3208 y tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a @@ -2473816,7 +2531450,7 @@ tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin { 21.0549 121.20811 } PutCoor PutBegin end 2005 3208 -a 1843 3228 a FT(T)-7 b(ropique)2005 3208 y +a 1843 3228 a FX(T)-7 b(ropique)2005 3208 y tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a @@ -2473826,18 +2531460,18 @@ tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin { 136.85704 55.48257 } PutCoor PutBegin end - 2005 3208 a 1866 3237 a FT(Plan)28 b(de)2005 3208 + 2005 3208 a 1866 3237 a FX(Plan)28 b(de)2005 3208 y tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin { 144.2547 44.38608 } PutCoor PutBegin end - 2005 3208 a 1808 3228 a FT(l'\351cliptique) + 2005 3208 a 1808 3228 a FX(l'\351cliptique) 2005 3208 y tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin { 18.49419 111.81874 } PutCoor PutBegin end 2005 3208 a 1959 -3237 a FT(du)2005 3208 y +3237 a FX(du)2005 3208 y tx@Dict begin PutEnd end 2005 3208 a 2005 3208 a tx@Dict begin gsave STV CP T /ps@rot -27. def grestore end @@ -2473847,7 +2531481,7 @@ tx@Dict begin { 44.95512 93.04001 } PutCoor PutBegin end 2005 3208 a 2005 3208 a tx@Dict begin ps@rot RotBegin end 2005 3208 -a 1889 3226 a FT(cancer)2005 3208 y +a 1889 3226 a FX(cancer)2005 3208 y tx@Dict begin RotEnd end 2005 3208 a 2005 3208 a @@ -2473857,7 +2531491,7 @@ tx@Dict begin { 48.36943 87.91853 } PutCoor PutBegin end 2005 3208 a 2005 3208 a tx@Dict begin PutEnd end - 2005 3208 a 0 TeXcolorgray 1802 3487 a FT(d'\351t\351.)55 + 2005 3208 a 0 TeXcolorgray 1802 3487 a FX(d'\351t\351.)55 b(Le)33 b(Soleil)g(se)h(trouv)n(e)e(alors)g(au)h(z\351nith,)j (c'est-\340-)1802 3587 y(dire)31 b(\340)h(la)f(p)r(erp)r(endiculaire)h (de)g(l'horizon)f(du)h(lieu.)51 b(Ses)1802 3686 y(ra)n(y)n(ons)22 @@ -2473868,7 +2531502,7 @@ b(p)r(ourraien)n(t)h(alors)g(p)r(\351n\351trer)h(jusqu'au)h(plus)g y(gnomon)30 b(\(un)h(b\342ton)g(v)n(ertical\))f(plan)n(t\351)h(plus)h (au)e(nord)h(\340)1802 4085 y(Alexandrie.)j(Sa)20 b(longueur)h(et)g (celle)g(du)h(gnomon)e(p)r(erme-)1802 4184 y(tten)n(t)29 -b(de)g(d\351terminer)g(l'angle)f FG(\013)i FT(de)f(la)g(\034gure)f +b(de)g(d\351terminer)g(l'angle)f FK(\013)i FX(de)f(la)g(\034gure)f (C.1.)41 b(Or,)1802 4284 y(celui-ci)35 b(a)h(un)g(corresp)r(ondan)n(t)e (au)i(cen)n(tre)f(de)h(la)g(T)-7 b(erre)1802 4384 y(qui)24 b(sous-tend)g(l'arc)f(de)i(cercle)e(en)n(tre)h(Sy)n(\350ne)g(et)h @@ -2473878,64 +2531512,64 @@ b(sous-tend)g(l'arc)f(de)i(cercle)e(en)n(tre)h(Sy)n(\350ne)g(et)h 4683 y(T)-7 b(erre)26 b(et,)i(ainsi,)f(son)g(ra)n(y)n(on.)1885 4797 y(Comme)j(\311rathosth\350ne)h(\340)f(\351v)-5 b(alu\351)31 b(la)f(distance)h(en)n(tre)1802 4897 y(Sy)n(\350ne)22 -b(et)h(Alexandrie)f(\340)g FH(5000)f(stades)h FT(et)h(la)g(longueur)e +b(et)h(Alexandrie)f(\340)g FL(5000)f(stades)h FX(et)h(la)g(longueur)e (de)1802 4997 y(l'om)n(bre)26 b(p)r(ort\351e)g(par)g(le)h(gnomon)f -(\340)g FH(1)p FG(=)p FH(8)g FT(de)h(sa)f(hauteur,)1802 +(\340)g FL(1)p FK(=)p FL(8)g FX(de)h(sa)f(hauteur,)1802 5096 y(on)h(p)r(eut)h(en)g(d\351duire)f(:)p 0 TeXcolorgray 1862 5307 a(1.)p 0 TeXcolorgray 41 w(que)69 b(l'angle)f -FG(\013)i FT(est)f(\(anac)n(hroniquemen)n(t)e(car)1968 +FK(\013)i FX(est)f(\(anac)n(hroniquemen)n(t)e(car)1968 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FH(862)e(km)116 1344 y FT(Ce)j(qui)g +116 296 3753 4 v 0 TeXcolorgray 116 525 a FX(tre)28 b(en)f(radian)g(et) +h(au)f(ra)n(y)n(on)e FK(R)k FX(du)f(cercle,)e(on)i(tire)f(:)290 +720 y FK(L)c FL(=)f FK(\013)14 b FF(\267)g FK(R)47 b +Fz(\))283 897 y FK(R)24 b FL(=)467 841 y FK(L)p 467 878 +57 4 v 469 954 a(\013)557 897 y FL(=)654 841 y FK(\036)703 +853 y FA(lune)p 654 878 187 4 v 721 954 a FK(\013)283 +1106 y(R)g FL(=)e FK(d)500 1118 y FA(T)9 b(er)r(r)r(e)p +FB(\000)p FA(Lune)913 1106 y FL(=)1038 1049 y(3)1080 +1019 y FB(0)1103 1049 y FL(618)p 1011 1086 245 4 v 1011 +1162 a(0)p FK(;)14 b FL(0087)1288 1106 y(=)23 b(415)1502 +1071 y FB(0)1524 1106 y FL(862)e(km)116 1344 y FX(Ce)j(qui)g (repr\351sen)n(te)e(en)n(viron)h(8\045)h(d'\351cart)f(a)n(v)n(ec)f(la)i (v)-5 b(aleur)116 1444 y(d'aujourd'h)n(ui.)199 1611 y(De)35 b(nos)e(jours,)i(la)f(distance)g(de)g(la)g(T)-7 b(erre)33 @@ -2487722,8 +2545356,8 @@ b(\340)g(la)h(Lune)116 1711 y(est)20 b(mesur\351)g(par)f(la)h 1811 y(miroirs)f(d\351p)r(os\351s)g(par)g(les)g(missions)g(Ap)r(ollo.) 34 b(Elle)19 b(attein)n(t)116 1910 y(une)28 b(pr\351cision)f(de)g (l'ordre)g(de)g(quelques)g(millim\350tres.)116 2216 y -FJ(C.4)131 b(La)43 b(distance)i(T)-11 b(erre-Soleil)116 -2409 y FT(La)30 b(mesure)f(de)h(distances)f(plus)h(imp)r(ortan)n(tes)f +FN(C.4)131 b(La)43 b(distance)i(T)-11 b(erre-Soleil)116 +2409 y FX(La)30 b(mesure)f(de)h(distances)f(plus)h(imp)r(ortan)n(tes)f (que)h(celle)116 2509 y(de)21 b(la)f(T)-7 b(erre)20 b(\340)g(la)h(Lune) g(fut)g(r\351alis\351e)f(par)g(la)g(suite)h(\340)f(l'aide)116 2609 y(de)37 b(la)f(m\351tho)r(de)h(de)f(la)g(parallaxe.)62 @@ -2487747,18 +2545381,18 @@ b(ation)30 b(de)j(son)e(mouv)n(emen)n(t)h(p)r(er-)116 3810 y(met)g(donc)f(de)h(se)f(faire)g(une)h(id\351e)g(de)f(la)g (distance)h(en)n(tre)116 3910 y(les)c(y)n(eux)f(et)g(le)h(p)r(ouce.)199 4015 y(En)38 b(termes)e(astronomiques,)h(on)g(v)n(oit)f(sur)g(la)h -(\034gure)116 4115 y(C.3)h(que)g(l'angle)g FG(\013)g -FT(en)n(tre)g(une)g(\351toile)g(loin)n(taine)g(et)g(la)116 +(\034gure)116 4115 y(C.3)h(que)g(l'angle)g FK(\013)g +FX(en)n(tre)g(une)g(\351toile)g(loin)n(taine)g(et)g(la)116 4215 y(P)n(olaire)22 b(est)h(le)g(m\352me)h(p)r(our)e(deux)h(p)r(oin)n -(ts)g(d'observ)-5 b(ation)116 4314 y FG(C)34 b FT(et)27 -b FG(P)39 b FT(sur)27 b(la)g(T)-7 b(erre.)35 b(P)n(our)27 -b(un)g(astre)f(p)r(eu)i(\351loign\351)e FG(M)9 b FT(,)116 -4414 y(ces)31 b(deux)f(angles)g FG(\014)35 b FT(et)c -FG(\015)k FT(son)n(t)c(di\033\351ren)n(ts.)46 b(On)30 -b(app)r(elle)116 4514 y(parallaxe)c(de)h(l'astre)g FG(M)36 -b FT(l'angle)27 b FG(\016)k FT(qui)d(v)-5 b(aut)27 b(:)858 -4708 y FG(\016)f FH(=)d FG(\015)g Fv(\000)18 b FG(\014)116 -4903 y FT(en)36 b(raison)f(du)h(fait)g(que)g(deux)f(droites)g +(ts)g(d'observ)-5 b(ation)116 4314 y FK(C)34 b FX(et)27 +b FK(P)39 b FX(sur)27 b(la)g(T)-7 b(erre.)35 b(P)n(our)27 +b(un)g(astre)f(p)r(eu)i(\351loign\351)e FK(M)9 b FX(,)116 +4414 y(ces)31 b(deux)f(angles)g FK(\014)35 b FX(et)c +FK(\015)k FX(son)n(t)c(di\033\351ren)n(ts.)46 b(On)30 +b(app)r(elle)116 4514 y(parallaxe)c(de)h(l'astre)g FK(M)36 +b FX(l'angle)27 b FK(\016)k FX(qui)d(v)-5 b(aut)27 b(:)858 +4708 y FK(\016)f FL(=)d FK(\015)g Fz(\000)18 b FK(\014)116 +4903 y FX(en)36 b(raison)f(du)h(fait)g(que)g(deux)f(droites)g (parall\350les)g(son)n(t)116 5002 y(toujours)47 b(coup)r(\351es)h(par)f (une)h(troisi\350me)e(droite)i(selon)116 5102 y(deux)28 b(angles)e(\351gaux.)199 5208 y(L'astronome)g(Cassini,)h(qui)h @@ -2487766,7 +2545400,7 @@ b(angles)e(\351gaux.)199 5208 y(L'astronome)g(Cassini,)h(qui)h b(fois)h(la)f(distance)g(T)-7 b(erre-Soleil)20 b(\340)i(partir)e(de)i (la)f(par-)116 5407 y(allaxe)27 b(de)g(Mars,)g(d\351crit)g(la)h(mesure) f(ainsi)g(:)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray -0 TeXcolorgray 2325 525 a(\020)7 b FQ(L)l(a)41 b(meil)t(leur)l(e)h +0 TeXcolorgray 2325 525 a(\020)7 b FU(L)l(a)41 b(meil)t(leur)l(e)h (m\351tho)l(de)g(p)l(our)f(cher)l(cher)2200 625 y(la)51 b(p)l(ar)l(al)t(laxe)h(de)f(Mars)g(p)l(ar)g(la)h(c)l(orr)l(esp)l(on-) 2200 725 y(danc)l(e)42 b(des)g(observations)h(faites)f(\340)g(Paris)g @@ -2487793,12 +2545427,12 @@ y(Ca\357enne)i(\351loign\351)h(de)f(la)g(m\352me)g(Etoile)g(vers)2200 2418 y(le)33 b(Z\351nit)g(&)f(c)l(ette)g(distanc)l(e)i(vue)e(d'un)h (lieu)g(&)2200 2518 y(non)22 b(p)l(as)h(de)g(l'autr)l(e,)h(aur)l(ait)f (\351t\351)f(attribu\351)l(e)g(\340)h(la)2200 2617 y(p)l(ar)l(al)t -(laxe)6 b FT(\021)41 b(J.)33 b(D.)g(Cassini,)g(dans)f(\020M\351moires) +(laxe)6 b FX(\021)41 b(J.)33 b(D.)g(Cassini,)g(dans)f(\020M\351moires) 2200 2717 y(de)k(l'A)n(cad\351mie)g(Ro)n(y)n(ale)f(des)h(Sciences\021,) i(v)n(ol-)2200 2817 y(ume)28 b(8,)f(ann\351e)g(1730.)2898 -2787 y FR(87)p 0 TeXcolorgray 0 TeXcolorgray 2387 3141 -a FF(Figure)j(C.3)f(\025)h FE(Par)l(al)t(laxe)e(de)g(Mars)2104 -3208 y FD(Pr)m(emi\350r)m(e)23 b(\351tap)m(e)h(p)m(our)g(d\351terminer) +2787 y FV(90)p 0 TeXcolorgray 0 TeXcolorgray 2387 3141 +a FJ(Figure)j(C.3)f(\025)h FI(Par)l(al)t(laxe)e(de)g(Mars)2104 +3208 y FH(Pr)m(emi\350r)m(e)23 b(\351tap)m(e)h(p)m(our)g(d\351terminer) h(la)g(distanc)m(e)f(T)-5 b(err)m(e-Soleil.)p 0 TeXcolorgray 2179 4329 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end @@ -2487914,23 +2545548,23 @@ tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 182.66571 97.30789 } PutCoor PutBegin end - 2179 4329 a 2151 4357 a FT(E)2179 4329 y + 2179 4329 a 2151 4357 a FX(E)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 73.69223 53.4909 } PutCoor PutBegin end - 2179 4329 a 2153 4349 a FG(\014)2179 + 2179 4329 a 2153 4349 a FK(\014)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 41.82532 50.93015 } PutCoor PutBegin end 2179 4329 a 2151 4357 -a FT(P)2179 4329 y +a FX(P)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 48.65396 29.87523 } PutCoor PutBegin end 2179 4329 -a 2149 4357 a FT(C)2179 4329 y +a 2149 4357 a FX(C)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a @beginspecial @setspecial @@ -2487943,7 +2545577,7 @@ setlinejoin 0 setlinecap stroke grestore end @endspecial 2179 4329 a tx@Dict begin { 23.61566 40.40268 } PutCoor PutBegin end 2179 4329 a 2149 -4357 a FT(T)2179 4329 y +4357 a FX(T)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def @@ -2487986,7 +2545620,7 @@ setlinecap [ 2.84526 2.84526 ] 0 0 add DashLine grestore end @endspecial 2179 4329 a tx@Dict begin { 42.67891 112.10324 } PutCoor PutBegin end 2179 -4329 a 2053 4357 a FT(P)n(olaire)2179 4329 y +4329 a 2053 4357 a FX(P)n(olaire)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a @beginspecial @setspecial @@ -2488073,12 +2545707,12 @@ tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 63.44931 71.70055 } PutCoor PutBegin end 2179 -4329 a 2155 4339 a FG(\015)2179 4329 y +4329 a 2155 4339 a FK(\015)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 147.669 84.78877 } PutCoor PutBegin end - 2179 4329 a 2141 4357 a FT(M)2179 4329 y + 2179 4329 a 2141 4357 a FX(M)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a @@ -2488098,12 +2545732,12 @@ tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 62.02669 34.42766 } PutCoor PutBegin end - 2179 4329 a 2152 4347 a FG(\013)2179 4329 y + 2179 4329 a 2152 4347 a FK(\013)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 43.53249 63.73381 } PutCoor PutBegin end - 2179 4329 a 2152 4347 a FG(\013)2179 4329 + 2179 4329 a 2152 4347 a FK(\013)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a @beginspecial @setspecial @@ -2488116,12 +2545750,12 @@ setlinejoin 0 setlinecap stroke grestore end @endspecial 2179 4329 a tx@Dict begin { 25.0383 66.57907 } PutCoor PutBegin end - 2179 4329 a 2148 4357 a FT(N)2179 4329 y + 2179 4329 a 2148 4357 a FX(N)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 32.72049 4.26788 } PutCoor PutBegin end - 2179 4329 a 2156 4357 a FT(S)2179 + 2179 4329 a 2156 4357 a FX(S)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a @beginspecial @setspecial @@ -2488157,62 +2545791,62 @@ tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 120.35452 79.38275 } PutCoor PutBegin end - 2179 4329 a 2159 4358 a FG(\016)2179 4329 y + 2179 4329 a 2159 4358 a FK(\016)2179 4329 y tx@Dict begin PutEnd end 2179 4329 a 2179 4329 a tx@Dict begin { 46.66225 43.24794 } PutCoor PutBegin end - 2179 4329 a 2147 4357 a FT(O)2179 + 2179 4329 a 2147 4357 a FX(O)2179 4329 y tx@Dict begin PutEnd end - 2179 4329 a 0 TeXcolorgray 2117 4510 a FT(L'application)28 + 2179 4329 a 0 TeXcolorgray 2117 4510 a FX(L'application)28 b(de)h(cette)h(m\351tho)r(de)f(p)r(our)f(d\351terminer)2034 4610 y(la)52 b(p)r(osition)g(d'un)g(astre)f(comme)h(Mars,)57 -b FG(M)k FT(sur)52 b(le)2034 4710 y(sc)n(h\351ma)39 b(C.3,)j(consiste)d +b FK(M)k FX(sur)52 b(le)2034 4710 y(sc)n(h\351ma)39 b(C.3,)j(consiste)d (\340)g(observ)n(er)e(cette)j(plan\350te)f(si-)2034 4809 y(m)n(ultan\351men)n(t)27 b(depuis)g(deux)g(endroits)f(\351loign\351s)g (l'un)h(de)2034 4909 y(l'autre)j(\340)g(la)g(surface)f(de)i(la)f (terre.)44 b(Deux)31 b(observ)-5 b(ateurs)2034 5008 y -FG(P)47 b FT(et)35 b FG(C)41 b FT(\(les)36 b(astronomes)d(Cassini)h +FK(P)47 b FX(et)35 b FK(C)41 b FX(\(les)36 b(astronomes)d(Cassini)h (\340)g(P)n(aris)g(et)i(Ric)n(her)2034 5108 y(\340)g(Ca)n(y)n(enne,)i (en)f(1672\))e(mesuren)n(t)h(au)g(m\352me)h(momen)n(t)2034 5208 y(l'\351cart)30 b(angulaire)g(en)n(tre)g(Mars)g -FG(M)40 b FT(et)31 b(une)h(\351toile)f FG(E)36 b FT(en)2034 +FK(M)40 b FX(et)31 b(une)h(\351toile)f FK(E)36 b FX(en)2034 5307 y(arri\350re)e(plan.)62 b(La)35 b(somme)h(des)g(deux)g(angles)f -(mesur\351s)2034 5407 y(constitue)h(l'angle)f FG(\016)j -FT(au)e(sommet)f(du)h(triangle)f FG(P)12 b(M)d(C)d FT(,)p -0 TeXcolorgray 1930 5617 a(110)p 0 TeXcolorgray eop end -%%Page: 111 111 -TeXDict begin 111 110 bop 0 TeXcolorgray 0 TeXcolorgray --116 262 a FM(APPENDIX)30 b(C.)55 b(MESURES)30 b(DE)e(DIST)-7 +(mesur\351s)2034 5407 y(constitue)h(l'angle)f FK(\016)j +FX(au)e(sommet)f(du)h(triangle)f FK(P)12 b(M)d(C)d FX(,)p +0 TeXcolorgray 1930 5617 a(168)p 0 TeXcolorgray eop end +%%Page: 169 169 +TeXDict begin 169 168 bop 0 TeXcolorgray 0 TeXcolorgray +-116 262 a FQ(APPENDIX)30 b(C.)55 b(MESURES)30 b(DE)e(DIST)-7 b(ANCES)641 b(C.4.)64 b(LA)28 b(DIST)-7 b(ANCE)29 b(TERRE-SOLEIL)p --116 296 3753 4 v 0 TeXcolorgray -116 525 a FT(soit)d(la)g(parallaxe.) +-116 296 3753 4 v 0 TeXcolorgray -116 525 a FX(soit)d(la)g(parallaxe.) 35 b(En)27 b(raison)f(de)g(l'imp)r(ortan)n(t)h(\351loigne-)-116 625 y(men)n(t)d(de)g(Mars)f(par)g(rapp)r(ort)g(\340)g(la)h(distance)f -FG(P)12 b(C)31 b FT(\(P)n(aris-)-116 725 y(Ca)n(y)n(enne\),)39 +FK(P)12 b(C)31 b FX(\(P)n(aris-)-116 725 y(Ca)n(y)n(enne\),)39 b(on)f(p)r(eut)h(p)r(oser)e(gr\342ce)f(\340)i(la)g(relation)f(A.2,)-116 -824 y(page)26 b(149)h(:)343 1047 y FG(\016)f FH(=)516 -990 y FG(P)12 b(C)p 503 1028 156 4 v 503 1104 a(M)d(O)715 -1047 y Fv(\))46 b FG(M)9 b(O)25 b FH(=)1120 990 y FG(P)12 +824 y(page)26 b(159)h(:)343 1047 y FK(\016)f FL(=)516 +990 y FK(P)12 b(C)p 503 1028 156 4 v 503 1104 a(M)d(O)715 +1047 y Fz(\))46 b FK(M)9 b(O)25 b FL(=)1120 990 y FK(P)12 b(C)p 1120 1028 131 4 v 1165 1104 a(\016)-116 1254 y -FT(La)19 b(distance)h FG(P)12 b(C)6 b FT(,)22 b(appro)n(ximativ)n(emen) +FX(La)19 b(distance)h FK(P)12 b(C)6 b FX(,)22 b(appro)n(ximativ)n(emen) n(t)c(la)i(distance)g(en-)-116 1354 y(tre)k(P)n(aris)g(et)h(Ca)n(y)n -(enne,)f(p)r(ermet)h(alors)e(de)h(trouv)n(er)f FG(M)9 -b(O)r FT(.)-116 1453 y(La)27 b(distance)g(de)h(la)f(T)-7 +(enne,)f(p)r(ermet)h(alors)e(de)h(trouv)n(er)f FK(M)9 +b(O)r FX(.)-116 1453 y(La)27 b(distance)g(de)h(la)f(T)-7 b(erre)26 b(\340)i(Mars)e(v)-5 b(aut)28 b(alors)e(:)110 -1638 y FG(d)153 1650 y Fw(T)9 b Fx(\000)p Fw(M)350 1638 -y FH(=)23 b FG(M)9 b(O)21 b FH(+)d FG(O)r(T)34 b FH(=)23 -b FG(M)9 b(O)21 b FH(+)d FG(R)1251 1650 y Fw(T)1529 1638 -y FT(\(C.1\))-116 1823 y(o\371)27 b FG(R)62 1835 y Fw(T)142 -1823 y FT(est)h(le)f(ra)n(y)n(on)f(de)h(la)h(T)-7 b(erre.)-33 +1638 y FK(d)153 1650 y FA(T)9 b FB(\000)p FA(M)350 1638 +y FL(=)23 b FK(M)9 b(O)21 b FL(+)d FK(O)r(T)34 b FL(=)23 +b FK(M)9 b(O)21 b FL(+)d FK(R)1251 1650 y FA(T)1529 1638 +y FX(\(C.1\))-116 1823 y(o\371)27 b FK(R)62 1835 y FA(T)142 +1823 y FX(est)h(le)f(ra)n(y)n(on)f(de)h(la)h(T)-7 b(erre.)-33 1950 y(Le)27 b(r\351sultat)g(est)h(donn\351)f(par)g(Cassini)g (lui-m\352me)h(:)p 0 TeXcolorgray 0 TeXcolorgray 174 -2120 a(\020)7 b FQ(L)l(e)63 b(5)g(septembr)l(e)h(1672,)73 +2120 a(\020)7 b FU(L)l(e)63 b(5)g(septembr)l(e)h(1672,)73 b(tr)l(ois)63 b(jours)50 2219 y(avant)31 b(l'opp)l(osition)j(du)e (Soleil)g(\340)g(Mars,)h(nous)50 2319 y(observ\342mes)59 b(\340)f(Paris)h(tr)l(ois)e(Etoiles)i(dans)50 2419 y(l'Eau)33 b(A)l(quarius)f(mar)l(qu\351)l(es)h(p)l(ar)g(Bayerus)g -FH(\011)p FQ(,)50 2518 y(vers)26 b(lesquel)t(les)h(Mars)f(al)t(loit)h +FL(\011)p FU(,)50 2518 y(vers)26 b(lesquel)t(les)h(Mars)f(al)t(loit)h (p)l(ar)g(son)f(mouve-)50 2618 y(ment)37 b(p)l(articulier)h(r)l(\351tr) l(o)l(gr)l(ade,)j(de)d(sorte)g(que)50 2718 y(l'on)30 b(juge)l(oit)g(qu'il)g(en)f(aur)l(oit)g(pu)g(c)l(acher)i(une.)50 @@ -2488226,33 +2545860,33 @@ y(s'adr)l(essoit.)39 b(Par)26 b(le)h(choix)f(des)h(Observations)50 3415 y(les)33 b(plus)g(exactes)g(&)g(les)g(plus)g(c)l(onformes)h(en-)50 3515 y(tr)l(e)23 b(el)t(les,)j(on)d(\034xa)h(\340)f(15")i(la)f(p)l(ar)l (al)t(laxe)h(que)f(fait)50 3614 y(Mars)34 b(de)g(Paris)g(\340)g -(Ca\357enne)6 b FT(\021)40 b(J.)31 b(D.)h(Cassini,)50 +(Ca\357enne)6 b FX(\021)40 b(J.)31 b(D.)h(Cassini,)50 3714 y(dans)24 b(\020M\351moires)e(de)i(l'A)n(cad\351mie)g(Ro)n(y)n (ale)f(des)50 3813 y(Sciences\021,)k(v)n(olume)g(8,)g(ann\351e)g(1730.) -1228 3783 y FR(88)-116 3983 y FT(Le)18 b(r\351sultat)g(de)h(la)f +1228 3783 y FV(91)-116 3983 y FX(Le)18 b(r\351sultat)g(de)h(la)f (mesure)g(est)h(donc)f(de)h(quinze)g(secondes)-116 4082 y(d'arc.)49 b(Mais)31 b(atten)n(tion,)i(il)f(s'agit)f(de)h(la)g (parallaxe)e(qui)-116 4182 y(est)e(la)g(moiti\351)g(de)g(l'angle)g -FG(\016)s FT(.)39 b(Celui-ci)27 b(v)-5 b(aut)29 b(donc)f(:)38 -b FG(\016)27 b FH(=)-116 4282 y(0)p FG(;)14 b FH(008332)215 -4251 y Fx(\016)284 4282 y FT(ou)34 b FH(1)p FG(;)14 b -FH(454)g FB(\267)e FH(10)744 4251 y Fx(\000)p FA(4)855 -4282 y FH(rad)o FT(.)58 b(A)-9 b(v)n(ec)34 b(une)h(distance)-116 +FK(\016)s FX(.)39 b(Celui-ci)27 b(v)-5 b(aut)29 b(donc)f(:)38 +b FK(\016)27 b FL(=)-116 4282 y(0)p FK(;)14 b FL(008332)215 +4251 y FB(\016)284 4282 y FX(ou)34 b FL(1)p FK(;)14 b +FL(454)g FF(\267)e FL(10)744 4251 y FB(\000)p FE(4)855 +4282 y FL(rad)o FX(.)58 b(A)-9 b(v)n(ec)34 b(une)h(distance)-116 4381 y(de)27 b(P)n(aris)g(\340)g(Ca)n(y)n(enne)g(de)g -FH(7082)p FG(;)14 b FH(1)21 b(km)27 b FT(cela)g(donne)h(:)161 -4614 y FG(M)9 b(O)25 b FH(=)442 4558 y(7)p FG(;)14 b -FH(0821)g FB(\267)d FH(10)821 4528 y FA(6)p 437 4595 -426 4 v 437 4671 a FH(1)p FG(;)j FH(454)g FB(\267)e 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b(une)h(distance)f(en)n(tre)g(la)h(T)-7 +b(erre)26 b(et)i(Mars)f(de)g(:)-67 5023 y FK(d)-24 5035 +y FA(T)9 b FB(\000)p FA(M)173 5023 y FL(=)22 b(4)p FK(;)14 +b FL(87)g FF(\267)e FL(10)556 4989 y FE(10)644 5023 y +FL(+)18 b(6)p FK(;)c FL(371)g FF(\267)e FL(10)1065 4989 +y FE(6)1124 5023 y FL(=)23 b(4)p FK(;)14 b FL(87)g FF(\267)e +FL(10)1508 4989 y FE(10)1600 5023 y FL(m)-116 5208 y +FX(Mais)24 b(ce)i(n'est)f(l\340)g(que)g(la)g(distance)g(de)g(la)g(T)-7 b(erre)24 b(\340)h(Mars.)-116 5307 y(Il)40 b(fallait)f(encore)g (r\351aliser)f(une)i(condition)f(de)h(mesure)-116 5407 y(p)r(our)h(obtenir)h(la)f(distance)h(T)-7 b(erre-Soleil)40 @@ -2488265,10 +2545899,10 @@ b(erre)28 b(se)h(trouv)-5 b(ait)28 b(sur)h(une)g(m\352me)1802 824 y(ligne)21 b(en)n(tre)f(Mars)h(et)g(le)h(Soleil.)34 b(A)22 b(ce)f(momen)n(t,)h(et)g(seule-)1802 924 y(men)n(t)27 b(\340)h(ce)f(momen)n(t,)h(on)f(p)r(eut)h(\351crire)f(:)2302 -1081 y FG(d)2345 1093 y Fw(S)s Fx(\000)p Fw(M)2538 1081 -y FH(=)c FG(d)2669 1093 y Fw(T)9 b Fx(\000)p Fw(M)2861 -1081 y FH(+)18 b FG(d)2987 1093 y Fw(S)s Fx(\000)p Fw(T)3447 -1081 y FT(\(C.2\))1802 1238 y(o\371)31 b(on)g(n'a)g(pas)g(ten)n(u)h +1081 y FK(d)2345 1093 y FA(S)s FB(\000)p FA(M)2538 1081 +y FL(=)c FK(d)2669 1093 y FA(T)9 b FB(\000)p FA(M)2861 +1081 y FL(+)18 b FK(d)2987 1093 y FA(S)s FB(\000)p FA(T)3447 +1081 y FX(\(C.2\))1802 1238 y(o\371)31 b(on)g(n'a)g(pas)g(ten)n(u)h (compte)f(du)h(caract\350re)d(elliptique)1802 1337 y(des)k(orbites,)i (notammen)n(t)f(de)g(celle)g(de)g(Mars)f(\(v)n(oir)g(ci-)1802 1437 y(dessous\).)48 b(Mais,)33 b(l'\351quation)e(C.2)g(a)g(deux)h @@ -2488276,116 +2545910,116 @@ y FH(=)c FG(d)2669 1093 y Fw(T)9 b Fx(\000)p Fw(M)2861 b(erre-Soleil.)58 b(P)n(our)35 b(les)1802 1636 y(d\351terminer,)27 b(il)g(faut)h(une)g(seconde)f(\351quation.)1885 1756 y(Il)42 b(s'agit)f(de)i(la)e(troisi\350me)h(loi)g(de)g(Kepler,)j -(donn\351e)1802 1855 y(par)34 b(l'\351quation)h(2.16,)i(page)d(40,)j +(donn\351e)1802 1855 y(par)34 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-0 TeXcolorgray -116 2027 a FJ(G.1)131 b(In)l(tro)t(duction)p -0 TeXcolorgray -116 2466 a FN(L)p 0 TeXcolorgray 0 TeXcolorgray --99 x FP(e)31 b(calcul)p 0 TeXcolorgray 53 w FT(ci-dessous)51 +a FX(184)p eop end +%%Page: 185 185 +TeXDict begin 185 184 bop 0 TeXcolorgray 0 TeXcolorgray +-116 1105 9 231 v -116 874 534 9 v -116 1197 a FP(Appendix)62 +b FO(G)p 801 1197 2828 9 v 3628 1197 9 324 v 801 874 +2836 9 v -116 1612 a FR(Ch)-5 b(ute)62 b(de)h(la)f(Lune)p +0 TeXcolorgray -116 2027 a FN(G.1)131 b(In)l(tro)t(duction)p +0 TeXcolorgray -116 2466 a FR(L)p 0 TeXcolorgray 0 TeXcolorgray +-99 x FT(e)31 b(calcul)p 0 TeXcolorgray 53 w FX(ci-dessous)51 b(constitue)j(une)f(appro)r(c)n(he)43 2466 y(simpli\034\351e)22 b(du)g(calcul)f(de)h(l'acc\351l\351ration)e(de)h(la)h(Lune)-116 2566 y(bas\351)31 b(sur)h(sa)f(c)n(h)n(ute)h(libre)g(sur)f(la)h(T)-7 b(erre.)49 b(Il)32 b(est)g(v)-5 b(alable)-116 2665 y(dans)37 -b(la)h(mesure)f(d'un)h(angle)f FG(\013)i FT(tr\350s)e(p)r(etit.)69 +b(la)h(mesure)f(d'un)h(angle)f FK(\013)i FX(tr\350s)e(p)r(etit.)69 b(Dans)38 b(le)-116 2765 y(cas)24 b(d'un)i(mouv)n(emen)n(t)f(de)g (rotation)f(de)h(la)g(Lune)h(autour)-116 2865 y(de)31 b(la)g(T)-7 b(erre)30 b(d'une)h(dur\351e)g(d'une)g(seconde,)h(il)f(est) @@ -2596064,14 +2653698,14 @@ g(donc)-116 2964 y(justi\034\351.)52 b(Mais)32 b(cela)g(n'enl\350v)n(e) g(rien)g(\340)g(la)g(g\351n\351ralit\351)f(du)-116 3064 y(raisonnemen)n(t)23 b(puisque)i(celui-ci)g(est)g(v)-5 b(alable)24 b(p)r(our)g(tout)-116 3164 y(temps)k(p)r(etit.)-116 -3887 y FJ(G.2)131 b(A)l(cc\351l\351ration)-116 4226 y -FT(Consid\351rons)21 b(la)i(\034gure)f(G.1)h(qui)g(d\351crit)g +3887 y FN(G.2)131 b(A)l(cc\351l\351ration)-116 4226 y +FX(Consid\351rons)21 b(la)i(\034gure)f(G.1)h(qui)g(d\351crit)g (successiv)n(emen)n(t)-116 4326 y(le)28 b(mouv)n(emen)n(t)g(en)h(ligne) f(droite)g(d'une)g(Lune)h(qui)f(n'est)-116 4426 y(pas)22 b(soumise)g(\340)g(l'attraction)g(de)h(la)f(T)-7 b(erre,)23 b(puis)g(sa)f(c)n(h)n(ute)-116 4525 y(libre)31 b(v)n(ers)f(la)i(T)-7 b(erre)30 b(p)r(endan)n(t)i(le)g(m\352me)g(temps)f(de)h -FH(1)23 b(s)o FT(.)-116 4625 y(Le)f(mouv)n(emen)n(t)g(de)g(rotation)f +FL(1)23 b(s)o FX(.)-116 4625 y(Le)f(mouv)n(emen)n(t)g(de)g(rotation)f (circulaire)g(de)h(la)g(Lune)g(au-)-116 4725 y(tour)28 b(de)h(la)g(T)-7 b(erre)28 b(est)h(ainsi)g(compris)f(comme)h(un)g(mou-) -116 4824 y(v)n(emen)n(t)e(sim)n(ultan\351men)n(t)g(balistique)g(\(MR)n @@ -2596082,7 +2653716,7 @@ b(T)-7 b(erre-Lune.)62 b(Il)37 b(s'agit)f(donc)h(d'un)g(mo)r(d\350le)g h(pr\351sen)n(t\351)e(au)-116 5223 y(paragraphe)25 b(2.7.)-33 5407 y(Pythagore)i(et)h(la)g(g\351om\351trie)g(\351viden)n(te)g(du)g (probl\350me)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray -0 TeXcolorgray 2183 2091 a FF(Figure)i(G.1)g(\025)f FE(Chute)g(de)f(la) +0 TeXcolorgray 2183 2091 a FJ(Figure)i(G.1)g(\025)f FI(Chute)g(de)f(la) f(lune)p 0 TeXcolorgray 2238 3451 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2238 3451 a 2238 @@ -2596147,45 +2653781,45 @@ end @endspecial 2238 3451 a tx@Dict begin { 20.7704 23.90016 } PutCoor PutBegin end - 2238 3451 a 2142 3480 a FT(T)-7 b(erre)2238 + 2238 3451 a 2142 3480 a FX(T)-7 b(erre)2238 3451 y tx@Dict begin PutEnd end 2238 3451 a 2238 3451 a tx@Dict begin { 35.8503 149.66072 } PutCoor PutBegin end 2238 3451 a 2147 3480 -a FT(Lune)2238 3451 y +a FX(Lune)2238 3451 y tx@Dict begin PutEnd end 2238 3451 a 2238 3451 a tx@Dict begin { 69.13983 114.9485 } PutCoor PutBegin end 2238 3451 -a 1872 3472 a FT(temps)28 b(de)g(c)n(h)n(ute)f(:)37 b -FH(1)14 b FG(s)2238 3451 y +a 1872 3472 a FX(temps)28 b(de)g(c)n(h)n(ute)f(:)37 b +FL(1)14 b FK(s)2238 3451 y tx@Dict begin PutEnd end 2238 3451 a 2238 3451 a tx@Dict begin { 9.67386 159.90363 } PutCoor PutBegin end 2238 -3451 a 2207 3480 a FT(A)2238 3451 y +3451 a 2207 3480 a FX(A)2238 3451 y tx@Dict begin PutEnd end 2238 3451 a 2238 3451 a tx@Dict begin { 109.25798 159.90363 } PutCoor PutBegin end - 2238 3451 a 2209 3480 a FT(B)2238 3451 y + 2238 3451 a 2209 3480 a FX(B)2238 3451 y tx@Dict begin PutEnd end 2238 3451 a 2238 3451 a tx@Dict begin { 78.8137 137.14154 } PutCoor PutBegin end - 2238 3451 a 2208 3480 a FT(C)2238 + 2238 3451 a 2208 3480 a FX(C)2238 3451 y tx@Dict begin PutEnd end 2238 3451 a 2238 3451 a tx@Dict begin { 21.624 34.14313 } PutCoor PutBegin end 2238 3451 a 2206 3480 -a FT(D)2238 3451 y +a FX(D)2238 3451 y tx@Dict begin PutEnd end 2238 3451 a 2238 3451 a tx@Dict begin { 34.14313 72.26959 } PutCoor PutBegin end 2238 3451 -a 2211 3469 a FG(\013)2238 3451 y +a 2211 3469 a FK(\013)2238 3451 y tx@Dict begin PutEnd end 2238 3451 a @beginspecial @setspecial @@ -2596206,22 +2653840,22 @@ tx@Dict begin PutEnd end 0 setlinejoin 0 setlinecap stroke grestore end @endspecial -0 TeXcolorgray 1802 3484 a FT(pr\351sen)n(t\351)26 b(dans)h(la)h +0 TeXcolorgray 1802 3484 a FX(pr\351sen)n(t\351)26 b(dans)h(la)h (\034gure)f(G.1)g(p)r(ermetten)n(t)h(d'\351crire)f(:)2129 -3694 y FG(B)t(C)i FH(=)2372 3613 y Fm(p)p 2455 3613 439 -4 v 81 x FG(AD)2588 3670 y FA(2)2644 3694 y FH(+)18 b -FG(AB)2856 3670 y FA(2)2912 3694 y Fv(\000)g FG(C)6 b(D)2284 -3846 y FH(=)2372 3764 y Fm(p)p 2455 3764 V 82 x FG(AD)2588 -3822 y FA(2)2644 3846 y FH(+)18 b FG(AB)2856 3822 y FA(2)2912 -3846 y Fv(\000)g FG(AD)2284 4050 y FH(=)2372 3915 y Fm(r)p -2455 3915 620 4 v 135 x FG(AD)2588 4026 y FA(2)2639 4050 -y FB(\267)c FH(\(1)19 b(+)2863 3994 y FG(AB)2992 3970 -y FA(2)p 2862 4031 171 4 v 2862 4107 a FG(AD)2995 4083 -y FA(2)3042 4050 y FH(\))g Fv(\000)f FG(AD)2284 4283 -y FH(=)23 b FG(AD)16 b FB(\267)2556 4151 y Fm(r)p 2639 -4151 399 4 v 132 x FH(1)i(+)g(\()2826 4227 y FG(AB)p -2824 4264 134 4 v 2824 4340 a(AD)2968 4283 y FH(\))3000 -4259 y FA(2)3056 4283 y Fv(\000)g FG(AD)1802 4510 y FT(Il)51 +3694 y FK(B)t(C)i FL(=)2372 3613 y Fq(p)p 2455 3613 439 +4 v 81 x FK(AD)2588 3670 y FE(2)2644 3694 y FL(+)18 b +FK(AB)2856 3670 y FE(2)2912 3694 y Fz(\000)g FK(C)6 b(D)2284 +3846 y FL(=)2372 3764 y Fq(p)p 2455 3764 V 82 x FK(AD)2588 +3822 y FE(2)2644 3846 y FL(+)18 b FK(AB)2856 3822 y FE(2)2912 +3846 y Fz(\000)g FK(AD)2284 4050 y FL(=)2372 3915 y Fq(r)p +2455 3915 620 4 v 135 x FK(AD)2588 4026 y FE(2)2639 4050 +y FF(\267)c FL(\(1)19 b(+)2863 3994 y FK(AB)2992 3970 +y FE(2)p 2862 4031 171 4 v 2862 4107 a FK(AD)2995 4083 +y FE(2)3042 4050 y FL(\))g Fz(\000)f FK(AD)2284 4283 +y FL(=)23 b FK(AD)16 b FF(\267)2556 4151 y Fq(r)p 2639 +4151 399 4 v 132 x FL(1)i(+)g(\()2826 4227 y FK(AB)p +2824 4264 134 4 v 2824 4340 a(AD)2968 4283 y FL(\))3000 +4259 y FE(2)3056 4283 y Fz(\000)g FK(AD)1802 4510 y FX(Il)51 b(faut)g(main)n(tenan)n(t)f(faire)g(app)r(el)h(\340)g(une)g(op)r (\351ration)1802 4610 y(math\351matique)27 b(qui)h(consiste)f(\340)g (traduire)g(une)h(fonction)1802 4710 y(complexe)40 b(comme)g(la)h @@ -2596234,196 +2653868,196 @@ y(dev)n(oir)35 b(traiter)h(une)h(somme)g(in\034nie,)i(il)e(faut)g b(a)32 b(p)r(ermettre)h(de)g(ne)g(garder)1802 5208 y(que)24 b(quelques)g(termes)g(de)h(cette)g(somme.)36 b(Cette)25 b(simpli-)1802 5307 y(\034cation)31 b(est)i(justi\034\351e)g(par)e(la)h -(p)r(etitesse)h(du)g(terme)f FG(AB)1802 5407 y FT(compar\351)h(\340)i -(la)g(distance)f(T)-7 b(erre-Lune)34 b FG(AD)r FT(.)60 -b(Plus)35 b(pr\351-)1698 5617 y(127)p eop end -%%Page: 128 128 -TeXDict begin 128 127 bop 0 TeXcolorgray 116 262 a FM(G.3.)65 +(p)r(etitesse)h(du)g(terme)f FK(AB)1802 5407 y FX(compar\351)h(\340)i +(la)g(distance)f(T)-7 b(erre-Lune)34 b FK(AD)r FX(.)60 +b(Plus)35 b(pr\351-)1698 5617 y(185)p eop end +%%Page: 186 186 +TeXDict begin 186 185 bop 0 TeXcolorgray 116 262 a FQ(G.3.)65 b(F)n(OR)n(CE)27 b(DE)h(GRA)-9 b(VIT)i(A)g(TION)1001 b(APPENDIX)31 b(G.)55 b(CHUTE)29 b(DE)f(LA)g(LUNE)p 116 -296 3753 4 v 116 525 a FT(cis\351men)n(t,)g(on)f(a)g(alors)f(:)161 -684 y Fv(p)p 230 684 191 4 v 69 x FH(1)18 b(+)g FG(x)24 -b FH(=)f(1)18 b(+)685 697 y(1)p 685 734 42 4 v 685 810 -a(2)750 753 y FB(\267)c FG(x)19 b Fv(\000)992 697 y FH(1)p -946 734 134 4 v 946 810 a(2)14 b FB(\267)f FH(4)1103 -753 y FB(\267)h FG(x)1187 719 y FA(2)1243 753 y FH(+)1382 -697 y(1)g FB(\267)g FH(3)p 1336 734 226 4 v 1336 810 -a(2)g FB(\267)f FH(4)h FB(\267)g FH(6)1586 753 y FB(\267)g -FG(x)1670 719 y FA(3)1726 753 y Fv(\000)k FG(:)c(:)g(:)116 -974 y FT(p)r(our)19 b Fv(j)p FG(x)p Fv(j)24 b(\034)f -FH(1)p FT(.)34 b(L'appro)n(ximation)17 b(consiste)h(\340)h(ne)h +296 3753 4 v 116 525 a FX(cis\351men)n(t,)g(on)f(a)g(alors)f(:)161 +684 y Fz(p)p 230 684 191 4 v 69 x FL(1)18 b(+)g FK(x)24 +b FL(=)f(1)18 b(+)685 697 y(1)p 685 734 42 4 v 685 810 +a(2)750 753 y FF(\267)c FK(x)19 b Fz(\000)992 697 y FL(1)p +946 734 134 4 v 946 810 a(2)14 b FF(\267)f FL(4)1103 +753 y FF(\267)h FK(x)1187 719 y FE(2)1243 753 y FL(+)1382 +697 y(1)g FF(\267)g FL(3)p 1336 734 226 4 v 1336 810 +a(2)g FF(\267)f FL(4)h FF(\267)g FL(6)1586 753 y FF(\267)g +FK(x)1670 719 y FE(3)1726 753 y Fz(\000)k FK(:)c(:)g(:)116 +974 y FX(p)r(our)19 b Fz(j)p FK(x)p Fz(j)24 b(\034)f +FL(1)p FX(.)34 b(L'appro)n(ximation)17 b(consiste)h(\340)h(ne)h (retenir)116 1074 y(que)28 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1393 a 337 1393 a tx@Dict begin { 42.39436 61.45764 } PutCoor PutBegin end - 337 1393 a 192 1421 a FT(rotation)337 1393 y + 337 1393 a 192 1421 a FX(rotation)337 1393 y tx@Dict begin PutEnd end 337 1393 a 337 1393 a @@ -2616442,7 +2674076,7 @@ tx@Dict begin PutEnd end 337 1393 a 337 1393 a tx@Dict begin { 21.9085 33.00504 } PutCoor PutBegin end - 337 1393 a 279 1415 a FG(R)342 1427 y Fw(T)337 1393 + 337 1393 a 279 1415 a FK(R)342 1427 y FA(T)337 1393 y tx@Dict begin PutEnd end 337 1393 a @beginspecial @setspecial @@ -2616456,55 +2674090,55 @@ tx@Dict begin PutEnd end end @endspecial 0 -TeXcolorgray 116 1651 a FT(donc)g(ainsi)f(:)769 1763 -y FG(r)f FH(=)1025 1707 y FG(m)p 930 1744 264 4 v 930 -1820 a(M)h FH(+)18 b FG(m)1218 1763 y FB(\267)c FG(d)481 -b FT(\(J.1\))116 1960 y(\(depuis)22 b(le)f(cen)n(tre)f(de)h(la)f(plus)i +TeXcolorgray 116 1651 a FX(donc)g(ainsi)f(:)769 1763 +y FK(r)f FL(=)1025 1707 y FK(m)p 930 1744 264 4 v 930 +1820 a(M)h FL(+)18 b FK(m)1218 1763 y FF(\267)c FK(d)481 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b(Il)26 b(s'agit)f(d'un)i (mou-)116 3143 y(v)n(en)n(t)35 b(circulaire)e(uniforme)i(et)g(l'une)g (des)g(comp)r(osan)n(tes)116 3243 y(de)30 b(la)f(seconde)f(loi)h(de)h (Newton)f(est)h(l'acc\351l\351ration)d(cen-)116 3342 -y(trip)r(\350te)h FG(a)430 3354 y Fw(c)490 3342 y FT(de)f(cette)h +y(trip)r(\350te)h FK(a)430 3354 y FA(c)490 3342 y FX(de)f(cette)h (masse.)35 b(On)27 b(p)r(eut)h(l'exprimer)e(sous)116 3442 y(di\033\351ren)n(tes)h(formes)g(pr\351sen)n(t\351es)g(dans)g -(l'\351quation)g(J.2)g(:)731 3682 y FG(a)775 3694 y Fw(c)831 -3682 y FH(=)929 3626 y FG(v)972 3595 y FA(2)p 929 3663 -81 4 v 937 3739 a FG(R)1043 3682 y FH(=)22 b FG(!)1185 -3647 y FA(2)1236 3682 y FB(\267)14 b FG(R)443 b FT(\(J.2\))116 -3895 y(o\371)21 b FG(v)k FT(est)c(la)g(vitesse)g(lin\351aire)f(de)i(la) -e(masse)h FG(m)g FT(d'eau,)h FG(R)g FT(la)116 3995 y(distance)28 +(l'\351quation)g(J.2)g(:)731 3682 y FK(a)775 3694 y FA(c)831 +3682 y FL(=)929 3626 y FK(v)972 3595 y FE(2)p 929 3663 +81 4 v 937 3739 a FK(R)1043 3682 y FL(=)22 b FK(!)1185 +3647 y FE(2)1236 3682 y FF(\267)14 b FK(R)443 b FX(\(J.2\))116 +3895 y(o\371)21 b FK(v)k FX(est)c(la)g(vitesse)g(lin\351aire)f(de)i(la) +e(masse)h FK(m)g FX(d'eau,)h FK(R)g FX(la)116 3995 y(distance)28 b(du)g(cen)n(tre)f(de)g(gra)n(vit\351)f(\340)i(la)f(masse)g -FG(m)g FT(et)h FG(!)j FT(sa)116 4095 y(vitesse)24 b(angulaire.)34 -b(En)25 b(e\033et,)h(l'\351quation)e(2.13,)g(page)f(38)116 +FK(m)g FX(et)h FK(!)j FX(sa)116 4095 y(vitesse)24 b(angulaire.)34 +b(En)25 b(e\033et,)h(l'\351quation)e(2.13,)g(page)f(48)116 4194 y(mon)n(tre)31 b(que)g(la)f(vitesse)h(lin\351aire)f(d'un)i(corps)e (tournan)n(t)116 4294 y(en)35 b(mouv)n(emen)n(t)f(circulaire)g -(uniforme)h(v)-5 b(aut)35 b FG(v)j FH(=)d FG(!)16 b FB(\267)e -FG(R)116 4394 y FT(a)n(v)n(ec)26 b(p)r(our)i(unit\351)g -FH([)p FG(!)s FH(])23 b(=)f(rad)o FG(=)p FH(s)p FT(.)116 -4648 y FI(J.3.1)112 b(Vitesse)37 b(angulaire)116 4809 -y FT(Or,)d(la)f(vitesse)g(lin\351aire)g(de)g(la)g(masse)g(d'eau)g +(uniforme)h(v)-5 b(aut)35 b FK(v)j FL(=)d FK(!)16 b FF(\267)e +FK(R)116 4394 y FX(a)n(v)n(ec)26 b(p)r(our)i(unit\351)g +FL([)p FK(!)s FL(])23 b(=)f(rad)o FK(=)p FL(s)p FX(.)116 +4648 y FM(J.3.1)112 b(Vitesse)37 b(angulaire)116 4809 +y FX(Or,)d(la)f(vitesse)g(lin\351aire)g(de)g(la)g(masse)g(d'eau)g (n'est)h(pas)116 4909 y(celle)39 b(qui)g(r\351sulte)g(de)g(sa)g (rotation)f(diurne)h(autour)f(du)116 5008 y(cen)n(tre)27 b(de)g(la)g(T)-7 b(erre,)26 b(mais)h(celle)g(corresp)r(ondan)n(t)e(au)i -(d\351-)116 5108 y(placemen)n(t)k(de)h FG(m)g FT(sous)e(l'in\035uence)i +(d\351-)116 5108 y(placemen)n(t)k(de)h FK(m)g FX(sous)e(l'in\035uence)i (de)g(la)f(Lune,)h(c'est-)116 5208 y(\340-dire)e(celle)h(corresp)r (ondan)n(t)e(\340)i(sa)g(rotation)f(autour)g(du)116 5307 y(cen)n(tre)f(de)h(gra)n(vit\351)e(du)i(syst\350me)f(T)-7 b(erre-Lune.)42 b(A)-9 b(v)n(ec)29 b(les)116 5407 y(grandeurs)37 b(pr\351sen)n(t\351es)g(\340)g(la)h(\034gure)g(J.2)f(et)i (l'\351quation)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray -0 TeXcolorgray 2297 589 a FF(Figure)29 b(J.3)g(\025)h -FE(Syst\350me)f(T)-6 b(err)l(e-Lune-e)l(au)p 0 TeXcolorgray +0 TeXcolorgray 2297 589 a FJ(Figure)29 b(J.3)g(\025)h +FI(Syst\350me)f(T)-6 b(err)l(e-Lune-e)l(au)p 0 TeXcolorgray 2255 1393 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end 2255 1393 a 2255 1393 a @@ -2616597,24 +2674231,24 @@ tx@Dict begin PutEnd end 2255 1393 a 2255 1393 a tx@Dict begin { 31.5824 65.15645 } PutCoor PutBegin end 2255 1393 a 2189 -1415 a FG(M)2270 1427 y Fw(T)2255 1393 y +1415 a FK(M)2270 1427 y FA(T)2255 1393 y tx@Dict begin PutEnd end 2255 1393 a 2255 1393 a tx@Dict begin { 55.19803 37.84196 } PutCoor PutBegin end - 2255 1393 a 2235 1411 a FG(r)2255 1393 y + 2255 1393 a 2235 1411 a FK(r)2255 1393 y tx@Dict begin PutEnd end 2255 1393 a 2255 1393 a tx@Dict begin { 116.65569 64.01836 } PutCoor PutBegin end - 2255 1393 a 2158 1412 a FG(d)2201 -1424 y Fw(T)9 b Fx(\000)p Fw(L)2255 1393 y + 2255 1393 a 2158 1412 a FK(d)2201 +1424 y FA(T)9 b FB(\000)p FA(L)2255 1393 y tx@Dict begin PutEnd end 2255 1393 a 2255 1393 a tx@Dict begin { 155.63574 25.89188 } PutCoor PutBegin end - 2255 1393 a 2190 1415 a FG(M)2271 1427 -y Fw(L)2255 1393 y + 2255 1393 a 2190 1415 a FK(M)2271 1427 +y FA(L)2255 1393 y tx@Dict begin PutEnd end 2255 1393 a 2255 1393 a tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end @@ -2616642,7 +2674276,7 @@ tx@Dict begin PutEnd end 2255 1393 a 2255 1393 a tx@Dict begin { 21.9085 33.00504 } PutCoor PutBegin end 2255 1393 a 2197 -1415 a FG(R)2260 1427 y Fw(T)2255 1393 y +1415 a FK(R)2260 1427 y FA(T)2255 1393 y tx@Dict begin PutEnd end 2255 1393 a @beginspecial @setspecial @@ -2616712,19 +2674346,19 @@ end @endspecial 2255 1393 a tx@Dict begin { 106.98181 47.23134 } PutCoor PutBegin end 2255 1393 a 2213 -1380 a Fv(\000)-65 b(!)2223 1437 y FG(R)2255 1393 y +1380 a Fz(\000)-65 b(!)2223 1437 y FK(R)2255 1393 y tx@Dict begin PutEnd end 2255 1393 a 2255 1393 a tx@Dict begin { 126.04504 40.40268 } PutCoor PutBegin end - 2255 1393 a 2203 1374 a Fv(\000)-44 -b(!)2203 1431 y FG(F)2256 1443 y Fw(L)2255 1393 y + 2255 1393 a 2203 1374 a Fz(\000)-44 +b(!)2203 1431 y FK(F)2256 1443 y FA(L)2255 1393 y tx@Dict begin PutEnd end 2255 1393 a 2255 1393 a tx@Dict begin { 75.96844 49.5075 } PutCoor PutBegin end - 2255 1393 a 2213 1380 a Fv(\000)-65 -b(!)2223 1437 y FG(P)2255 1393 y + 2255 1393 a 2213 1380 a Fz(\000)-65 +b(!)2223 1437 y FK(P)2255 1393 y tx@Dict begin PutEnd end 2255 1393 a @beginspecial @setspecial @@ -2616742,59 +2674376,59 @@ load def 0 setlinejoin false Line gsave 0.42676 SLW 0 setgray 1. @endspecial 2255 1393 a tx@Dict begin { 83.93518 24.18471 } PutCoor PutBegin end 2255 1393 a 2223 -1422 a FG(R)2255 1393 y +1422 a FK(R)2255 1393 y tx@Dict begin PutEnd end 2255 1393 a 0 TeXcolorgray 2034 -1645 a FT(J.1,)25 b(le)g(calcul)g(de)g(la)g(vitesse)g(angulaire)e -FG(!)28 b FT(de)e(ce)f(dernier)2034 1745 y(est)j(le)f(suiv)-5 -b(an)n(t)28 b(:)2518 1930 y FG(F)35 b FH(=)22 b FG(M)2774 -1942 y Fw(L)2838 1930 y FB(\267)13 b FG(!)2929 1896 y -FA(2)2980 1930 y FB(\267)h FG(R)2133 2106 y(G)g FB(\267)2259 -2050 y FG(M)2340 2062 y Fw(T)2406 2050 y FB(\267)g FG(M)2524 -2062 y Fw(L)p 2259 2087 314 4 v 2319 2163 a FG(d)2362 -2134 y FA(2)2362 2187 y Fw(T)9 b Fx(\000)p Fw(L)2606 -2106 y FH(=)22 b FG(M)2774 2118 y Fw(L)2838 2106 y FB(\267)13 -b FG(!)2929 2072 y FA(2)2980 2106 y FB(\267)h FH(\()p -FG(d)3092 2118 y Fw(T)9 b Fx(\000)p Fw(L)3261 2106 y -Fv(\000)18 b FG(r)r FH(\))2133 2341 y FG(G)c FB(\267)2259 -2285 y FG(M)2340 2297 y Fw(T)2406 2285 y FB(\267)g FG(M)2524 -2297 y Fw(L)p 2259 2322 V 2319 2398 a FG(d)2362 2370 -y FA(2)2362 2423 y Fw(T)9 b Fx(\000)p Fw(L)2606 2341 -y FH(=)22 b FG(M)2774 2353 y Fw(L)2838 2341 y FB(\267)13 -b FG(!)2929 2307 y FA(2)2980 2341 y FB(\267)h FH(\()p -FG(d)3092 2353 y Fw(T)9 b Fx(\000)p Fw(L)3261 2341 y -Fv(\000)3354 2285 y FG(M)3435 2297 y Fw(L)3498 2285 y -FB(\267)14 b FG(d)3578 2297 y Fw(T)9 b Fx(\000)p Fw(L)p -3354 2322 374 4 v 3359 2398 a FG(M)3440 2410 y Fw(L)3507 -2398 y FH(+)18 b FG(M)3671 2410 y Fw(T)3738 2341 y FH(\))2254 -2576 y FG(G)c FB(\267)2410 2519 y FG(M)2491 2531 y Fw(T)p -2380 2556 193 4 v 2380 2633 a FG(d)2423 2604 y FA(2)2423 -2657 y Fw(T)9 b Fx(\000)p Fw(L)2606 2576 y FH(=)22 b -FG(!)2748 2541 y FA(2)2799 2576 y FB(\267)14 b FG(d)2879 -2588 y Fw(T)9 b Fx(\000)p Fw(L)3043 2576 y FB(\267)14 -b FH(\(1)k Fv(\000)3382 2519 y FG(M)3463 2531 y Fw(L)p -3265 2556 365 4 v 3265 2633 a FG(M)3346 2645 y Fw(L)3414 -2633 y FH(+)g FG(M)3578 2645 y Fw(T)3639 2576 y FH(\))2254 -2810 y FG(G)c FB(\267)2410 2754 y FG(M)2491 2766 y Fw(T)p -2380 2791 193 4 v 2380 2867 a FG(d)2423 2838 y FA(3)2423 -2891 y Fw(T)9 b Fx(\000)p Fw(L)2606 2810 y FH(=)22 b -FG(!)2748 2776 y FA(2)2799 2810 y FB(\267)2846 2754 y -FG(M)2927 2766 y Fw(L)2995 2754 y FH(+)c FG(M)3159 2766 -y Fw(T)3229 2754 y Fv(\000)g FG(M)3393 2766 y Fw(L)p -2846 2791 597 4 v 2962 2867 a FG(M)3043 2879 y Fw(L)3111 -2867 y FH(+)g FG(M)3275 2879 y Fw(T)2254 3044 y FG(G)c -FB(\267)2410 2988 y FG(M)2491 3000 y Fw(T)p 2380 3025 -193 4 v 2380 3101 a FG(d)2423 3073 y FA(3)2423 3126 y -Fw(T)9 b Fx(\000)p Fw(L)2606 3044 y FH(=)22 b FG(!)2748 -3010 y FA(2)2799 3044 y FB(\267)2962 2988 y FG(M)3043 -3000 y Fw(T)p 2846 3025 365 4 v 2846 3101 a FG(M)2927 -3113 y Fw(L)2995 3101 y FH(+)c FG(M)3159 3113 y Fw(T)2491 -3279 y FG(!)2546 3244 y FA(2)2606 3279 y FH(=)k FG(G)14 -b FB(\267)2819 3223 y FG(M)2900 3235 y Fw(L)2968 3223 -y FH(+)k FG(M)3132 3235 y Fw(T)p 2819 3260 V 2905 3336 -a FG(d)2948 3307 y FA(3)2948 3360 y Fw(T)9 b Fx(\000)p -Fw(L)3697 3279 y FT(\(J.3\))2034 3567 y FI(J.3.2)112 -b(F)-9 b(orce)37 b(d'inertie)2034 3723 y FT(On)25 b(p)r(eut)i(alors)d +1645 a FX(J.1,)25 b(le)g(calcul)g(de)g(la)g(vitesse)g(angulaire)e +FK(!)28 b FX(de)e(ce)f(dernier)2034 1745 y(est)j(le)f(suiv)-5 +b(an)n(t)28 b(:)2518 1930 y FK(F)35 b FL(=)22 b FK(M)2774 +1942 y FA(L)2838 1930 y FF(\267)13 b FK(!)2929 1896 y +FE(2)2980 1930 y FF(\267)h FK(R)2133 2106 y(G)g FF(\267)2259 +2050 y FK(M)2340 2062 y FA(T)2406 2050 y FF(\267)g FK(M)2524 +2062 y FA(L)p 2259 2087 314 4 v 2319 2163 a FK(d)2362 +2134 y FE(2)2362 2187 y FA(T)9 b FB(\000)p FA(L)2606 +2106 y FL(=)22 b FK(M)2774 2118 y FA(L)2838 2106 y FF(\267)13 +b FK(!)2929 2072 y FE(2)2980 2106 y FF(\267)h FL(\()p +FK(d)3092 2118 y FA(T)9 b FB(\000)p FA(L)3261 2106 y +Fz(\000)18 b FK(r)r FL(\))2133 2341 y FK(G)c FF(\267)2259 +2285 y FK(M)2340 2297 y FA(T)2406 2285 y FF(\267)g FK(M)2524 +2297 y FA(L)p 2259 2322 V 2319 2398 a FK(d)2362 2370 +y FE(2)2362 2423 y FA(T)9 b FB(\000)p FA(L)2606 2341 +y FL(=)22 b FK(M)2774 2353 y FA(L)2838 2341 y FF(\267)13 +b FK(!)2929 2307 y FE(2)2980 2341 y FF(\267)h FL(\()p +FK(d)3092 2353 y FA(T)9 b FB(\000)p FA(L)3261 2341 y +Fz(\000)3354 2285 y FK(M)3435 2297 y FA(L)3498 2285 y +FF(\267)14 b FK(d)3578 2297 y FA(T)9 b FB(\000)p FA(L)p +3354 2322 374 4 v 3359 2398 a FK(M)3440 2410 y FA(L)3507 +2398 y FL(+)18 b FK(M)3671 2410 y FA(T)3738 2341 y FL(\))2254 +2576 y FK(G)c FF(\267)2410 2519 y FK(M)2491 2531 y FA(T)p +2380 2556 193 4 v 2380 2633 a FK(d)2423 2604 y FE(2)2423 +2657 y FA(T)9 b FB(\000)p FA(L)2606 2576 y FL(=)22 b +FK(!)2748 2541 y FE(2)2799 2576 y FF(\267)14 b FK(d)2879 +2588 y FA(T)9 b FB(\000)p FA(L)3043 2576 y FF(\267)14 +b FL(\(1)k Fz(\000)3382 2519 y FK(M)3463 2531 y FA(L)p +3265 2556 365 4 v 3265 2633 a FK(M)3346 2645 y FA(L)3414 +2633 y FL(+)g FK(M)3578 2645 y FA(T)3639 2576 y FL(\))2254 +2810 y FK(G)c FF(\267)2410 2754 y FK(M)2491 2766 y FA(T)p +2380 2791 193 4 v 2380 2867 a FK(d)2423 2838 y FE(3)2423 +2891 y FA(T)9 b FB(\000)p FA(L)2606 2810 y FL(=)22 b +FK(!)2748 2776 y FE(2)2799 2810 y FF(\267)2846 2754 y +FK(M)2927 2766 y FA(L)2995 2754 y FL(+)c FK(M)3159 2766 +y FA(T)3229 2754 y Fz(\000)g FK(M)3393 2766 y FA(L)p +2846 2791 597 4 v 2962 2867 a FK(M)3043 2879 y FA(L)3111 +2867 y FL(+)g FK(M)3275 2879 y FA(T)2254 3044 y FK(G)c +FF(\267)2410 2988 y FK(M)2491 3000 y FA(T)p 2380 3025 +193 4 v 2380 3101 a FK(d)2423 3073 y FE(3)2423 3126 y +FA(T)9 b FB(\000)p FA(L)2606 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2034 3215 a FX(quan)n(tique,)g(31)2034 3315 y(quan)n(ton,)g(31)2034 3414 y(quark,)f(31)2034 -3514 y(quartier)g(lunaire,)h(25)2034 3690 y FS(R)p 2132 -3666 V 2034 3813 a FT(radian,)g(22)2034 3913 y(radioactivit\351,)f(82) +3514 y(quartier)g(lunaire,)h(25)2034 3690 y FW(R)p 2132 +3666 V 2034 3813 a FX(radian,)g(22)2034 3913 y(radioactivit\351,)f(82) 2034 4012 y(rail)h(inclin\351,)h(112)2034 4112 y(rapp)r(ort)2200 4211 y(de)g(lab)r(oratoire,)d(107)2200 4311 y(de)j(tra)n(v)-5 b(ail)26 b(pratique,)h(108)2034 4411 y(ra)n(y)n(on)f(de)h(la)g(T)-7 @@ -2812589,10 +2870504,10 @@ y(en)i(c)n(ha\356ne,)f(81)2034 4710 y(r\351f\351ren)n(tiel,)g(117,)f 5008 y(en)i(rotation,)e(59,)h(63)2200 5108 y(inertiel,)h(58,)e(59,)h (63,)g(127)2200 5208 y(non)g(acc\351l\351r\351,)g(59)2200 5307 y(non)g(inertiel,)h(59,)f(63,)f(127,)h(128)2200 -5407 y(non-inertiel,)g(58)1930 5617 y(172)p eop end -%%Page: 173 173 -TeXDict begin 173 172 bop 0 TeXcolorgray -116 262 a FM(INDEX)3205 -b(INDEX)p -116 296 3753 4 v 50 525 a 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y(scaph\351,)g(102)-116 @@ -2812630,7 +2870545,7 @@ y(stade,)h(102)1802 1123 y(statique,)g(65)1802 1223 y(Strab)r(on,)g 2418 y(syst\350me)1968 2518 y(d'axes,)e(33)1968 2617 y(de)h(co)r(ordonn\351es)f(circulaires,)g(99)1968 2717 y(solaire,)g(21)1802 2817 y(syst\350me)1968 2916 y(in)n(ternationnal,)g -(88)1802 3093 y FS(T)p 1894 3068 V 1802 3215 a FT(tableau,)h(109)1968 +(88)1802 3093 y FW(T)p 1894 3068 V 1802 3215 a FX(tableau,)h(109)1968 3315 y(p)r(\351rio)r(dique,)g(21)1802 3414 y(tac)n(he)1968 3514 y(solaire,)f(45)1802 3614 y(tac)n(he)h(solaire,)f(50)1802 3713 y(T)-7 b(c)n(hernob)n(yl,)26 b(83)1802 3813 y(tellurique,)h(22) @@ -2812644,10 +2870559,10 @@ y(th\351or\350me)1968 4610 y(d'addition)g(des)h(vitesses,)e(126)1968 1968 5008 y(de)g(l'\351nergie)g(cin\351tique,)h(71)1802 5108 y(thermo)r(dynamique,)f(91)1802 5208 y(titre,)g(108)1802 5307 y(toupie,)g(23)1802 5407 y(tra)5 b(jectoire,)26 -b(22,)g(29,)h(31)1698 5617 y(173)p eop end -%%Page: 174 174 -TeXDict begin 174 173 bop 0 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FX(z\351nith,)i(101,)f(129,)f(132,) g(141)116 5391 y(zone)h(con)n(tamin\351e,)g(83)p 0 TeXcolorgray -0 TeXcolorgray 1930 5617 a(174)p eop end +0 TeXcolorgray 1930 5617 a(234)p eop end %%Trailer userdict /end-hook known{end-hook}if diff --git a/CoursMecaniqueOSDF.tex b/CoursMecaniqueOSDF.tex index 7b9a67b..ed993a5 100644 --- a/CoursMecaniqueOSDF.tex +++ b/CoursMecaniqueOSDF.tex @@ -8,8 +8,8 @@ \usepackage[arrow,matrix,tips,frame]{xy} %\renewcommand{\bibname}{Bibliographie} -\usepackage[DF]{optional} % Pour réaliser le cours de base de Discipline Fondamentale (DF) -%\usepackage[OS]{optional} % Pour réaliser le cours complet d'Option Spécifique (OS) +%\usepackage[DF]{optional} % Pour réaliser le cours de base de Discipline Fondamentale (DF) +\usepackage[OS]{optional} % Pour réaliser le cours complet d'Option Spécifique (OS) % La commande pour ajouter les parties d'OS est \opt{OS}{parties} %--------------------------------------------------------------- @@ -18,8 +18,8 @@ \Newassociation{sol}{Solution}{ans} % définition de l'étiquette Solution du module answers \newtheorem{exc}{Exercice} % définition de l'étiquette Exercice du module answers \newenvironment{ex}{\begin{exc}\normalfont}{\end{exc}} % cela (\normalfont) annule l'italique des énoncés des exercices -\Newassociation{solos}{SolutionOS}{ansos} -\newtheorem{exosc}{ExerciceOS} +\Newassociation{solos}{Solution OS}{ansos} +\newtheorem{exosc}{Exercice OS} \newenvironment{exos}{\begin{exosc}\normalfont}{\end{exosc}} \setlength{\headheight}{12.2pt} % spécifie la hauteur de l'entête pour qu'elle ne couvre pas le titre diff --git a/CoursMecaniqueOSDF.toc b/CoursMecaniqueOSDF.toc index 343c561..b3416be 100644 --- a/CoursMecaniqueOSDF.toc +++ b/CoursMecaniqueOSDF.toc @@ -89,177 +89,314 @@ \contentsline {paragraph}{Exemple}{72} \contentsline {subsubsection}{La force d'un ressort}{72} \contentsline {paragraph}{Exemple}{73} -\contentsline {chapter}{\numberline {4}L'\IeC {\'e}nergie}{75} -\contentsline {section}{\numberline {4.1}Introduction}{75} -\contentsline {section}{\numberline {4.2}Travail}{75} -\contentsline {section}{\numberline {4.3}Puissance}{76} -\contentsline {section}{\numberline {4.4}\IeC {\'E}nergie potentielle}{76} -\contentsline {section}{\numberline {4.5}\IeC {\'E}nergie cin\IeC {\'e}tique}{77} -\contentsline {section}{\numberline {4.6}Th\IeC {\'e}or\IeC {\`e}me de l'\IeC {\'e}nergie cin\IeC {\'e}tique}{77} -\contentsline {section}{\numberline {4.7}Conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{77} -\contentsline {section}{\numberline {4.8}Variation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{79} -\contentsline {section}{\numberline {4.9}\IeC {\'E}nergies renouvelables}{79} -\contentsline {subsection}{\numberline {4.9.1}\IeC {\'E}nergie hydraulique}{80} -\contentsline {subsubsection}{Exemple}{81} -\contentsline {subsubsection}{Types de turbines}{81} -\contentsline {subsubsection}{Alternateur}{81} -\contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{82} -\contentsline {subsection}{\numberline {4.9.2}\IeC {\'E}nergie \IeC {\'e}olienne}{82} -\contentsline {subsection}{\numberline {4.9.3}\IeC {\'E}nergie solaire}{83} -\contentsline {subsubsection}{\IeC {\'E}nergie solaire thermique}{84} -\contentsline {subsubsection}{\IeC {\'E}nergie solaire \IeC {\'e}lectrique}{85} -\contentsline {subsection}{\numberline {4.9.4}\IeC {\'E}nergie g\IeC {\'e}othermique}{86} -\contentsline {section}{\numberline {4.10}\IeC {\'E}nergies non renouvelables}{87} -\contentsline {subsection}{\numberline {4.10.1}\IeC {\'E}nergie nucl\IeC {\'e}aire}{87} -\contentsline {subsubsection}{Fission}{87} -\contentsline {paragraph}{D\IeC {\'e}chets radioactifs}{89} -\contentsline {paragraph}{Accidents nucl\IeC {\'e}aires}{89} -\contentsline {subsubsection}{Fusion}{89} -\contentsline {subsection}{\numberline {4.10.2}\IeC {\'E}nergie de combustion : p\IeC {\'e}trole et gaz}{90} -\contentsline {chapter}{\numberline {5}Thermodynamique}{93} -\contentsline {section}{\numberline {5.1}Introduction}{93} -\contentsline {section}{\numberline {5.2}Temp\IeC {\'e}rature}{93} -\contentsline {subsection}{\numberline {5.2.1}Celsius}{93} -\contentsline {subsection}{\numberline {5.2.2}Fahrenheit}{93} -\contentsline {subsection}{\numberline {5.2.3}Kelvin}{94} -\contentsline {subsection}{\numberline {5.2.4}Agitation mol\IeC {\'e}culaire}{94} -\contentsline {section}{\numberline {5.3}Dilatation}{94} -\contentsline {section}{\numberline {5.4}Chaleur}{95} -\contentsline {subsection}{\numberline {5.4.1}Chaleur sp\IeC {\'e}cifique}{95} -\contentsline {subsection}{\numberline {5.4.2}Chaleur latente}{95} -\contentsline {section}{\numberline {5.5}\IeC {\'E}nergie thermique}{96} -\contentsline {subsection}{\numberline {5.5.1}Premier principe}{97} -\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{99} -\contentsline {section}{\numberline {A.1}Introduction}{99} -\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{99} -\contentsline {section}{\numberline {A.3}Analyse dimentionnelle}{100} -\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{101} -\contentsline {subsection}{\numberline {A.4.1}Exemple}{101} -\contentsline {section}{\numberline {A.5}Conversions}{101} -\contentsline {section}{\numberline {A.6}Sous-multiples}{102} -\contentsline {section}{\numberline {A.7}Notation scientifique}{102} -\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{103} -\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{105} -\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{105} -\contentsline {subsection}{\numberline {B.1.1}Introduction}{105} -\contentsline {subsection}{\numberline {B.1.2}Description}{105} -\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{105} -\contentsline {subsection}{\numberline {B.2.1}Introduction}{105} -\contentsline {subsection}{\numberline {B.2.2}Description}{105} -\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{106} -\contentsline {chapter}{\numberline {C}Mesures de distances}{107} -\contentsline {section}{\numberline {C.1}La taille de la Terre}{107} -\contentsline {subsection}{\numberline {C.1.1}Le principe}{107} -\contentsline {subsection}{\numberline {C.1.2}Techniquement}{108} -\contentsline {section}{\numberline {C.2}La taille de la Lune}{109} -\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{109} -\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{110} -\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{112} -\contentsline {chapter}{\numberline {D}Travaux pratiques}{113} -\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{113} -\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{114} -\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{114} -\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{114} -\contentsline {subsubsection}{But}{114} -\contentsline {subsubsection}{Th\IeC {\'e}orie}{114} -\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{114} -\contentsline {subsubsection}{R\IeC {\'e}sultats}{114} -\contentsline {subsubsection}{Discussion}{116} -\contentsline {subsubsection}{Conclusion}{116} -\contentsline {subsubsection}{Annexes}{116} -\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{117} -\contentsline {subsection}{\numberline {D.2.1}Introduction}{117} -\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{117} -\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{117} -\contentsline {subsection}{\numberline {D.2.4}Mesures}{117} -\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{117} -\contentsline {subsection}{\numberline {D.2.6}Analyse}{117} -\contentsline {section}{\numberline {D.3}Le pendule simple}{117} -\contentsline {subsection}{\numberline {D.3.1}Les mesures}{117} -\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{118} -\contentsline {section}{\numberline {D.4}Mouvement simple : MRU}{118} -\contentsline {subsection}{\numberline {D.4.1}Les mesures}{118} -\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{118} -\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{118} -\contentsline {section}{\numberline {D.5}Mouvement simple :\\MRUA}{118} -\contentsline {subsection}{\numberline {D.5.1}But}{118} -\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{119} -\contentsline {subsection}{\numberline {D.5.3}Les mesures}{119} -\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{119} -\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{119} -\contentsline {section}{\numberline {D.6}La chute libre}{119} -\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.}{119} -\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{119} -\contentsline {section}{\numberline {D.7}Le canon horizontal}{119} -\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{120} -\contentsline {chapter}{\numberline {E}Rotations}{121} -\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{121} -\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{121} -\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{123} -\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{123} -\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{125} -\contentsline {section}{\numberline {F.1}La position}{125} -\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{125} -\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{125} -\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{126} -\contentsline {chapter}{\numberline {G}Chute de la Lune}{127} -\contentsline {section}{\numberline {G.1}Introduction}{127} -\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{127} -\contentsline {section}{\numberline {G.3}Force de gravitation}{128} -\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{129} -\contentsline {section}{\numberline {H.1}Introduction}{129} -\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{129} -\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{130} -\contentsline {section}{\numberline {H.4}Loi de Kepler}{130} -\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{131} -\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{131} -\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{132} -\contentsline {section}{\numberline {I.3}Invariance}{133} -\contentsline {section}{\numberline {I.4}Forces inertielles}{133} -\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{133} -\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{134} -\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{137} -\contentsline {section}{\numberline {J.1}Introduction}{137} -\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{137} -\contentsline {section}{\numberline {J.3}Force d'inertie}{138} -\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{138} -\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{138} -\contentsline {section}{\numberline {J.4}Poids relatif}{139} -\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{139} -\contentsline {section}{\numberline {J.6}Autres rythmes}{139} -\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{140} -\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{140} -\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{140} -\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}{141} -\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{141} -\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{141} -\contentsline {section}{\numberline {J.7}Limite de Roche}{141} -\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{142} -\contentsline {subsection}{\numberline {J.7.2}Exemples}{143} -\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{145} -\contentsline {section}{\numberline {K.1}Introduction}{145} -\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{145} -\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{146} -\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{146} -\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{147} -\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{147} -\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{147} -\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{147} -\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{148} -\contentsline {chapter}{\numberline {L}Exercices}{149} -\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{149} -\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{149} -\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{150} -\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{150} -\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{150} -\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{151} -\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{151} -\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{152} -\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{152} -\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{154} -\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{154} -\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{155} -\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{155} -\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{155} -\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{155} -\contentsline {section}{\numberline {L.2}Solutions}{156} +\contentsline {chapter}{\numberline {4}M\IeC {\'e}canique en plusieurs dimensions}{75} +\contentsline {section}{\numberline {4.1}Pr\IeC {\'e}liminaires}{75} +\contentsline {subsection}{\numberline {4.1.1}Dimensions}{75} +\contentsline {subsection}{\numberline {4.1.2}Syst\IeC {\`e}me d'axes}{75} +\contentsline {section}{\numberline {4.2}Notion de vecteur en physique}{75} +\contentsline {subsection}{\numberline {4.2.1}Norme d'un vecteur}{75} +\contentsline {subsection}{\numberline {4.2.2}Op\IeC {\'e}rations vectorielles}{75} +\contentsline {subsubsection}{produit scalaire}{76} +\contentsline {subsubsection}{Produit vectoriel}{76} +\contentsline {section}{\numberline {4.3}M\IeC {\'e}canique}{76} +\contentsline {subsection}{\numberline {4.3.1}Cin\IeC {\'e}matique}{76} +\contentsline {subsubsection}{Position}{76} +\contentsline {subsubsection}{Vitesse}{77} +\contentsline {subsubsection}{Acc\IeC {\'e}l\IeC {\'e}ration}{77} +\contentsline {subsection}{\numberline {4.3.2}Dynamique}{77} +\contentsline {subsubsection}{Premi\IeC {\`e}re loi}{77} +\contentsline {subsubsection}{Seconde loi}{77} +\contentsline {subsubsection}{Troisi\IeC {\`e}me loi}{77} +\contentsline {section}{\numberline {4.4}Exemples}{77} +\contentsline {subsection}{\numberline {4.4.1}Statique}{77} +\contentsline {subsection}{\numberline {4.4.2}Plan inclin\IeC {\'e}}{78} +\contentsline {subsection}{\numberline {4.4.3}Balistique}{80} +\contentsline {subsection}{\numberline {4.4.4}Mouvement circulaire uniforme : MCU}{82} +\contentsline {subsubsection}{D\IeC {\'e}finition}{82} +\contentsline {subsubsection}{Cin\IeC {\'e}matique}{82} +\contentsline {subsubsection}{Relation importante}{83} +\contentsline {subsubsection}{Dynamique}{84} +\contentsline {subsubsection}{Virages inclin\IeC {\'e}s}{84} +\contentsline {paragraph}{Vitesses minimales}{84} +\contentsline {paragraph}{Vitesses maximales}{85} +\contentsline {subsection}{\numberline {4.4.5}Satellite en orbite g\IeC {\'e}ostationnaire}{86} +\contentsline {subsubsection}{Introduction}{86} +\contentsline {subsubsection}{Th\IeC {\'e}oriquement}{86} +\contentsline {subsubsection}{Num\IeC {\'e}riquement}{86} +\contentsline {subsection}{\numberline {4.4.6}Mouvement central}{87} +\contentsline {subsubsection}{Mouvement kepleriens}{87} +\contentsline {subsubsection}{Loi de Kepler}{87} +\contentsline {chapter}{\numberline {5}M\IeC {\'e}canique diff\IeC {\'e}rentielle}{89} +\contentsline {section}{\numberline {5.1}Introduction}{89} +\contentsline {section}{\numberline {5.2}Cin\IeC {\'e}matique}{89} +\contentsline {subsection}{\numberline {5.2.1}Exemples}{90} +\contentsline {subsubsection}{Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e} : MRUA}{90} +\contentsline {subsubsection}{Port\IeC {\'e} maximum en balistique}{90} +\contentsline {section}{\numberline {5.3}Dynamique}{91} +\contentsline {subsection}{\numberline {5.3.1}Int\IeC {\'e}gration}{91} +\contentsline {subsubsection}{Chute libre}{91} +\contentsline {subsubsection}{Freinage}{91} +\contentsline {subsection}{\numberline {5.3.2}\IeC {\'E}quation diff\IeC {\'e}rentielle}{91} +\contentsline {subsubsection}{Chute dans un fluide visqueux}{91} +\contentsline {subsubsection}{Mouvement harmonique}{93} +\contentsline {subsubsection}{Mouvement harmonique d'une masse pendante}{94} +\contentsline {subsubsection}{Mouvement non lin\IeC {\'e}aire}{95} +\contentsline {chapter}{\numberline {6}Impulsion et quantit\IeC {\'e} de mouvement}{97} +\contentsline {section}{\numberline {6.1}Introduction}{97} +\contentsline {section}{\numberline {6.2}Quantit\IeC {\'e} de mouvement}{97} +\contentsline {subsection}{\numberline {6.2.1}Masse d'inertie}{97} +\contentsline {section}{\numberline {6.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{98} +\contentsline {section}{\numberline {6.4}Choc parfaitement \IeC {\'e}lastique}{98} +\contentsline {subsection}{\numberline {6.4.1}Exemple}{98} +\contentsline {section}{\numberline {6.5}Choc parfaitement mou}{99} +\contentsline {subsection}{\numberline {6.5.1}Exemple}{99} +\contentsline {section}{\numberline {6.6}choc bidimentionnel}{100} +\contentsline {subsection}{\numberline {6.6.1}Exemple}{100} +\contentsline {section}{\numberline {6.7}Impulsion}{100} +\contentsline {section}{\numberline {6.8}Impulsion et quantit\IeC {\'e} de mouvement}{100} +\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}{106} +\contentsline {subsubsection}{Exemple}{107} +\contentsline {subsubsection}{Types de turbines}{107} +\contentsline {subsubsection}{Alternateur}{107} +\contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{108} +\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}{110} +\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}{113} +\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}{115} +\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}{116} +\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}{122} +\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}{123} +\contentsline {subsection}{\numberline {8.4.1}Introduction}{123} +\contentsline {subsection}{\numberline {8.4.2}Th\IeC {\'e}or\IeC {\`e}me de conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{123} +\contentsline {subsection}{\numberline {8.4.3}Exemples}{123} +\contentsline {section}{\numberline {8.5}Limite du th\IeC {\'e}or\IeC {\`e}me de conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{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}Exemple}{124} +\contentsline {chapter}{\numberline {9}Thermodynamique}{127} +\contentsline {section}{\numberline {9.1}Introduction}{127} +\contentsline {section}{\numberline {9.2}Temp\IeC {\'e}rature}{127} +\contentsline {subsection}{\numberline {9.2.1}Celsius}{127} +\contentsline {subsection}{\numberline {9.2.2}Fahrenheit}{127} +\contentsline {subsection}{\numberline {9.2.3}Kelvin}{128} +\contentsline {subsection}{\numberline {9.2.4}Agitation mol\IeC {\'e}culaire}{128} +\contentsline {section}{\numberline {9.3}Dilatation}{128} +\contentsline {section}{\numberline {9.4}Chaleur}{129} +\contentsline {subsection}{\numberline {9.4.1}Chaleur sp\IeC {\'e}cifique}{129} +\contentsline {subsection}{\numberline {9.4.2}Chaleur latente}{129} +\contentsline {section}{\numberline {9.5}\IeC {\'E}nergie thermique}{130} +\contentsline {subsection}{\numberline {9.5.1}Premier principe}{131} +\contentsline {chapter}{\numberline {10}Thermodynamique}{133} +\contentsline {section}{\numberline {10.1}Temp\IeC {\'e}rature et dilatation}{133} +\contentsline {subsection}{\numberline {10.1.1}Temp\IeC {\'e}rature}{133} +\contentsline {subsection}{\numberline {10.1.2}Dilatation}{133} +\contentsline {section}{\numberline {10.2}Chaleurs sp\IeC {\'e}cifique et latente}{135} +\contentsline {subsection}{\numberline {10.2.1}Introduction}{135} +\contentsline {subsection}{\numberline {10.2.2}Chaleur sp\IeC {\'e}cifique}{135} +\contentsline {subsubsection}{Chaleur massique}{135} +\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{136} +\contentsline {subsubsection}{Notion de mole}{136} +\contentsline {subsubsection}{Chaleur molaire}{136} +\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{137} +\contentsline {subsubsection}{Chaleur latente}{137} +\contentsline {subsubsection}{\IeC {\'E}vaporation}{137} +\contentsline {subsection}{\numberline {10.2.3}Bilan thermique}{138} +\contentsline {section}{\numberline {10.3}Loi des gaz parfaits}{139} +\contentsline {subsection}{\numberline {10.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{139} +\contentsline {subsubsection}{Pression}{139} +\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{139} +\contentsline {subsubsection}{Approche intuitive}{139} +\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{140} +\contentsline {subsection}{\numberline {10.3.2}Gaz parfait}{141} +\contentsline {section}{\numberline {10.4}Premier principe}{141} +\contentsline {subsection}{\numberline {10.4.1}Chaleur}{141} +\contentsline {subsection}{\numberline {10.4.2}Travail}{142} +\contentsline {subsection}{\numberline {10.4.3}\IeC {\'E}nergie interne}{142} +\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{143} +\contentsline {subsection}{\numberline {10.4.4}Premier principe}{143} +\contentsline {subsection}{\numberline {10.4.5}Changements d'\IeC {\'e}tats}{143} +\contentsline {subsubsection}{Transformation isobare}{144} +\contentsline {subsubsection}{Transformation isochore}{144} +\contentsline {subsubsection}{Transformation isotherme}{145} +\contentsline {subsubsection}{Transformation adiabatique}{146} +\contentsline {subsection}{\numberline {10.4.6}Chaleurs sp\IeC {\'e}cifiques}{147} +\contentsline {section}{\numberline {10.5}Machines thermiques}{148} +\contentsline {subsection}{\numberline {10.5.1}Machine simple}{148} +\contentsline {subsection}{\numberline {10.5.2}Moteur \IeC {\`a} explosion}{150} +\contentsline {subsection}{\numberline {10.5.3}Moteur Diesel}{152} +\contentsline {subsection}{\numberline {10.5.4}Machine de Stirling}{154} +\contentsline {subsection}{\numberline {10.5.5}Climatiseur}{154} +\contentsline {subsection}{\numberline {10.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{154} +\contentsline {subsection}{\numberline {10.5.7}Pompe \IeC {\`a} chaleur}{154} +\contentsline {subsection}{\numberline {10.5.8}Cycle de Carnot}{154} +\contentsline {section}{\numberline {10.6}Thermodynamique statistique}{154} +\contentsline {section}{\numberline {10.7}Second principe}{155} +\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{157} +\contentsline {section}{\numberline {A.1}Introduction}{157} +\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{157} +\contentsline {section}{\numberline {A.3}Analyse dimentionnelle}{158} +\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{159} +\contentsline {subsection}{\numberline {A.4.1}Exemple}{159} +\contentsline {section}{\numberline {A.5}Conversions}{159} +\contentsline {section}{\numberline {A.6}Sous-multiples}{160} +\contentsline {section}{\numberline {A.7}Notation scientifique}{160} +\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{161} +\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{163} +\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{163} +\contentsline {subsection}{\numberline {B.1.1}Introduction}{163} +\contentsline {subsection}{\numberline {B.1.2}Description}{163} +\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{163} +\contentsline {subsection}{\numberline {B.2.1}Introduction}{163} +\contentsline {subsection}{\numberline {B.2.2}Description}{163} +\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{164} +\contentsline {chapter}{\numberline {C}Mesures de distances}{165} +\contentsline {section}{\numberline {C.1}La taille de la Terre}{165} +\contentsline {subsection}{\numberline {C.1.1}Le principe}{165} +\contentsline {subsection}{\numberline {C.1.2}Techniquement}{166} +\contentsline {section}{\numberline {C.2}La taille de la Lune}{167} +\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{167} +\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{168} +\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{170} +\contentsline {chapter}{\numberline {D}Travaux pratiques}{171} +\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{171} +\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{172} +\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{172} +\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{172} +\contentsline {subsubsection}{But}{172} +\contentsline {subsubsection}{Th\IeC {\'e}orie}{172} +\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{172} +\contentsline {subsubsection}{R\IeC {\'e}sultats}{172} +\contentsline {subsubsection}{Discussion}{174} +\contentsline {subsubsection}{Conclusion}{174} +\contentsline {subsubsection}{Annexes}{174} +\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{175} +\contentsline {subsection}{\numberline {D.2.1}Introduction}{175} +\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{175} +\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{175} +\contentsline {subsection}{\numberline {D.2.4}Mesures}{175} +\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{175} +\contentsline {subsection}{\numberline {D.2.6}Analyse}{175} +\contentsline {section}{\numberline {D.3}Le pendule simple}{175} +\contentsline {subsection}{\numberline {D.3.1}Les mesures}{175} +\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{176} +\contentsline {section}{\numberline {D.4}Mouvement simple : MRU}{176} +\contentsline {subsection}{\numberline {D.4.1}Les mesures}{176} +\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{176} +\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{176} +\contentsline {section}{\numberline {D.5}Mouvement simple :\\MRUA}{176} +\contentsline {subsection}{\numberline {D.5.1}But}{176} +\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{177} +\contentsline {subsection}{\numberline {D.5.3}Les mesures}{177} +\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{177} +\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{177} +\contentsline {section}{\numberline {D.6}La chute libre}{177} +\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.}{177} +\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{177} +\contentsline {section}{\numberline {D.7}Le canon horizontal}{177} +\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{178} +\contentsline {chapter}{\numberline {E}Rotations}{179} +\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{179} +\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{179} +\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{181} +\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{181} +\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{183} +\contentsline {section}{\numberline {F.1}La position}{183} +\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{183} +\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{183} +\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{184} +\contentsline {chapter}{\numberline {G}Chute de la Lune}{185} +\contentsline {section}{\numberline {G.1}Introduction}{185} +\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{185} +\contentsline {section}{\numberline {G.3}Force de gravitation}{186} +\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{187} +\contentsline {section}{\numberline {H.1}Introduction}{187} +\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{187} +\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{188} +\contentsline {section}{\numberline {H.4}Loi de Kepler}{188} +\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{189} +\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{189} +\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{190} +\contentsline {section}{\numberline {I.3}Invariance}{191} +\contentsline {section}{\numberline {I.4}Forces inertielles}{191} +\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{191} +\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{192} +\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{195} +\contentsline {section}{\numberline {J.1}Introduction}{195} +\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{195} +\contentsline {section}{\numberline {J.3}Force d'inertie}{196} +\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{196} +\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{196} +\contentsline {section}{\numberline {J.4}Poids relatif}{197} +\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{197} +\contentsline {section}{\numberline {J.6}Autres rythmes}{197} +\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{198} +\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{198} +\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{198} +\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}{199} +\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{199} +\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{199} +\contentsline {section}{\numberline {J.7}Limite de Roche}{199} +\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{200} +\contentsline {subsection}{\numberline {J.7.2}Exemples}{201} +\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{203} +\contentsline {section}{\numberline {K.1}Introduction}{203} +\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{203} +\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{204} +\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{204} +\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{205} +\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{205} +\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{205} +\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{205} +\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{206} +\contentsline 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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~: + \begin{align*} + &m\cdot g=(M+m)\cdot a\;\Rightarrow\\ + &a=\frac{m}{M+m}\cdot g=\frac{2}{5}\cdot 9,81=\unit{3,924}{\metre\per\second\squared} + \end{align*} + \medskip + À partir de l'accélération, on peut ensuite calculer la vitesse au bout d'un mètre, grâce à l'équation du MRUA~: + \begin{align*} + v^2&=v_0^2+2\cdot a\cdot d\;\Rightarrow\\ + v^2&=0+2\cdot 3,924\cdot 1\;\Rightarrow\\ + v&=\sqrt{2\cdot 3,924}=\unit{2,8}{\metre\per\second} + \end{align*} + +\end{Solution OS} +\begin{Solution OS}{2} Un corrigé de test. -\end{SolutionOS} +\end{Solution OS} diff --git a/Thermodynamique/Thermodynamique.aux b/Thermodynamique/Thermodynamique.aux index 4226c51..21cf056 100644 --- a/Thermodynamique/Thermodynamique.aux +++ b/Thermodynamique/Thermodynamique.aux @@ -1,52 +1,52 @@ \relax -\@writefile{toc}{\contentsline {chapter}{\numberline {5}Thermodynamique}{93}} +\@writefile{toc}{\contentsline {chapter}{\numberline 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