Mathematics
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?

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(1) Answers
Carmelina510

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

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