From 1a9150113fd6938c1bff6a69f6a761c6f9c10dab Mon Sep 17 00:00:00 2001 From: Florian Burgener <florian.burgener@etu.hesge.ch> Date: Thu, 23 Dec 2021 10:45:11 +0100 Subject: [PATCH] Update README --- README.md | 10 +++++++--- README.pdf | Bin 220835 -> 220989 bytes 2 files changed, 7 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index db5fd00..f4c7ef9 100644 --- a/README.md +++ b/README.md @@ -99,21 +99,25 @@ Nous avons aussi ajouté 1 autre planète réelle (Jupiter), 2 satellites (la Lu 1. (dans la fonction `celestial_object_update`) ; 2. Calcule de la variation du Δt (`interval / previous_interval`) ; 1. Notez que le `previous_interval` correspond au Δt précèdent tandis que la variable `interval` correspond au Δt actuelle, à l'initialisation la variable `previous_interval` vaut 1 seconde, si le prochain Δt est de 100 secondes alors la "vitesse" sera multiplié par 100 / `previous_interval` pour garder la cohérence du MRU ; - 3. Calcule de la nouvelle position en fonction de la position, de la position précédente et de la variation du Δt ; + 3. Calcule de la nouvelle position en fonction de la position, de la position précédente et de la variation du Δt (**1e loi de Newton**) ; 4. Calcule de l'accélération subit par l'objet céleste ; 5. Conversion de l'accélération en distance en fonction du Δt et ajout de cette distance à la nouvelle position. ##### Calcul de l'accélération subit par un objet céleste -Nous calculons directement l'accélération subit sur l'objet et non la force appliqué sur l'objet avec la deuxième loi de Newton. +La **3e loi de Newton** nous permet de calculer la force subit entre 2 objets célestes. Nous avons utilisé la loi universelle de la gravitation et la **2e loi de Newton** pour calculer l'accélération subit par un objet céleste. +2ème loi de Newton : $`F = m \cdot a`$ +Loi universelle de la gravitation : $`\frac{G \cdot m_1 \cdot m_2}{r^2}`$ + +Accélération : $`\frac{G \cdot m_1 \cdot m_2}{r^2} = F \iff \frac{G \cdot m_1 \cdot m_2}{r^2} = m_2 \cdot a \iff \frac{G \cdot m_1}{r^2} = a`$ 1. Pour chaque objet céleste (excepté l'objet sur lequel on calcule l'accélération) ; 1. Calcule de la distance (r) entre l'objet sur lequel on calcule l'accélération et l'objet céleste i ; 2. Calcule de l'accélération ; 1. m1 = masse de l'objet céleste i ; - 2. $a = \frac{G * m1}{|| r ||^2}\cdot||r||$ ; + 2. $`a = \frac{G \cdot m1}{|| r ||^2}\cdot||r||`$ ; 3. On ajoute l'accélération à la somme de l'accélération subit par l'objet sur lequel on calcule l'accélération. ### OpenGL diff --git a/README.pdf b/README.pdf index fd3c0545a8346545db9a9e6c1a24a52e218da069..e2e3d94fdc4aad3d4607def86406356f6b9bc221 100644 GIT binary patch delta 26093 zcmZ3ymv`?z-U*2;#+Ih$6I12E^u~@3Mkemf%|cA=LQIU?g_xM!RO`*`>=cSiic%AE zxhm#t4Y}<l<0w)yfBlQ+4R3dTV^t9_{go5pac{B)i_e8W_Dg<kdUtMBHb+WZ+OMKj zzrL)T)wgJ?edC9DNA@Nf_D#*!efawCrwv<5H##}a&8qmbucl7CF6o|<y3J1EHEa!q z8Sj_BHn8e1KmBrR+wS{wb;Ehj)GPJA*>*mFTUNGZUjDSp+T5l&d5%{;KVD$@?9d}e zlbm<cjg_7_2VLONP4-DX<I|$L>5pAbosPV@zOa?|lQT=-NJ#qdXq^7DZ128v>t$1? z1}S-LZf}ZFUn}1pQp=Xvo@qT<u2rjW%Hg}O#EP1~CnoxB%$%%az~m|u#8vIn@TUIB zl^b2RE8O$>%NC_vIeb4POk>By{ma&<F&R!@;KqAr(UYGc{F^87ALd(D<yoK<H(mJk zluK*cVh(boid<2YuW{mwlr3&EJ>GKj$2N)6$!m}M_c(Lxma*|KTzh_Vy&*5V+;4;H zm%Mg#JqeFI^lze$>B|S#_nh5kc;)7StP@wxU9Uf*y!qTb+i8z(vdo#C|1d}HXt{gl z%`zkD<DY75biFl$uGXK<+PyHoZ`N10+`Q)=KLm}7cV81;mhtwJgVxMsZH^c-+tOdH 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