c9_kepler.py

Created by anaali

Created on February 10, 2024

654 Bytes

# Type your text here
T**2/a**3=4pi**2/G.M=constante
FA/B= (G*mA*mB)/d**2
v=2pir/T
1ere loi: repere heliocentrique
orbite ellpse, soleil foyer
2eme loi: segemnt reliant soleil
à la planete balaie des aires égale
pendant des aires égales


F=(G*mT*ms)/r**2 * n
2nd loi newton:
ms*a=F
ms*a=(G*mT*ms)/r**2 *n
a==(G*mT)/r**2 *n
repere de frenet (constant, aps de t) 
aT=dv/dt=0
an=V**2/r 
mais an=(G*mT)/r**2 *n
d'ou 
V**2/r = G*mT)/r**2
V**2=(G*mT)/r
v= sqrt( (G*mT)/r)
donc T=2pir / V
= 2pir/ sqrt( (G*mT)/r)
= 2 pir * sqrt(r/ G*mT)
= 2 pi * sqrt(r**3/ G*mT)

T**2 = 4pi**2*r**3 / G*mT
T**2/r**3 =4pi**2 / G*mT

r**3/T**2= G*mT/ 4pi**2

During your visit to our site, NumWorks needs to install "cookies" or use other technologies to collect data about you in order to:

Ensure the proper functioning of the site (essential cookies); and
Track your browsing to send you personalized communications if you have created a professional account on the site and can be contacted (audience measurement cookies).

With the exception of Cookies essential to the operation of the site, NumWorks leaves you the choice: you can accept Cookies for audience measurement by clicking on the "Accept and continue" button, or refuse these Cookies by clicking on the "Continue without accepting" button or by continuing your browsing. You can update your choice at any time by clicking on the link "Manage my cookies" at the bottom of the page. For more information, please consult our cookies policy.

Accept and continue Continue without accepting