The formula to find the period of orbit of a satellite around a planet is where r is the orbit’s mean radius, M is the mass of the planet, and G is the universa
Mathematics
jlamsdill
Question
The formula to find the period of orbit of a satellite around a planet is where r is the orbit’s mean radius, M is the mass of the planet, and G is the universal gravitational constant. If you are given all the values except r, how do you rewrite the formula to solve for r?
2 Answer

1. User Answers wolf1728
From my website, I have an online Kepler's Third Law calculator.
The formula is G · m · t² = 4 · π² · r³
I had to solve I have the formula solved for 'r', 't' and 'm' and I made a graphic of all three formulas. (see attached).
Anyway, since the formula is G · m · t² = 4 · π² · r³ then we can solve for 'r'
r³ = (G · m · t²) / (4 · π²) and therefore
r = cube root [(G · m · t²) / (4 · π²)] 
2. User Answers alianavanluven
Answer:
r=
Stepbystep explanation:
4 PIE SQUARED[tex]\sqrt[3]{\frac{GMT^{2} }{4\pix^\pi {2} } }[/tex]