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 t
he 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 answers:
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 <span>G · m · t² = 4 · π² · r³ then we can solve for 'r'
</span>
<span>r³ = (G · m · t²) / (4 · π²) and therefore
r = </span><span>cube root [(G · m · t²) / (4 · π²)]
</span>
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 <span>G · m · t² = 4 · π² · r³ then we can solve for 'r'
</span>
<span>r³ = (G · m · t²) / (4 · π²) and therefore
r = </span><span>cube root [(G · m · t²) / (4 · π²)]
</span>
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