A few days ago
Cant solve Kepler’s Equation for “m? “?
F=GMm/d^2? Even if you dont want to give the answer, could you please give an example?
Top 3 Answers
A few days ago
Favorite Answer
I’m not sure what you want? Is m the mass of the sun?
if so , and M is the mass of the earth, use
F = Ma
GmM/r^2 = Mv^2/r
and v = 2PI r / T
where G = 6.67×10^-11 N.m^2/kg^2
Earths period T= 3.16×10^7 s
distance earth-sun r = 1.5×10^11 m
1
A few days ago
F = G M m / d²
Multiply over the d²
F d² = G M m
Divide by G M
F d² / (G M) = m
Rewrite with m on the left:
m = F d² / (G M)
0
A few days ago
This solution is numerically given by 1.199678640257733
http://mathworld.wolfram.com/KeplersEquation.html
1
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