/sci/ - Science & Math

What if the earth orbits the sun?

>>5815234
Yeah, Kepler's goatee is more awesome as well.

>>5532430
bitches don't know about my equasions

Youre both trick bitches! make shit up and itll be finnnnee

No. The Earth travels in an ellipse with the Sun at its first foci.

No. The earth travels in an ellipse with the sun at it's first foci.

>>2049981
I'm Johannes Kepler, and OP is a faggot.

Hello /sci/ We all know newtons universal law of gravitation.
FG=G(m1*m2)/d^2
Where
FG=force of gravity
G=Newtons constant
m1=Mass of the first object
m2=Mass of the second object
D=distance from between the objects where the start and end point are in the center of the objects

Now using this Newtons gave a value for the constant K in Keplers 3rd law
P^2=KR^3
Where
P=the orbital period
K=constant
R=Semimajor axis

Now in newtons version
P^2=(4pi^2/G(m1+m2))R^3

Now why is it

that in Newtons laws of universal gravitation
G(m1*m2)

While in keplers 3rd law
G(m1+m2

Can anyone give me a hand.

Can you slowly and clearly explain how I from the equations of motion below to equations of motion independent of time. (Required for solution to Kepler problem)

r'' - r w'^2 = - u / r^2
r w'' + 2 r' w' = 0