pacha
9

# The formula to find the period of orbit of a satellite around a planet is T^2=(4pi^2/GM)r^3 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?

$T^2= (\frac{4 \pi^2 }{GM})r^3$ $T^2GM= 4 \pi ^2r^3$ $r^3= \frac{T^2GM}{4\pi^2}$ $r= \sqrt[3]{ \frac{T^2GM}{4 \pi ^2} }$