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IRISSAK [1]
3 years ago
7

the formula to find the period of orbit a satellite around a planet is T^2=(4pi^2/GM)r^3 where r is the orbits mean radius. If y

ou are givin all the values except r, how do you rewrite the formula to solve for r
Mathematics
1 answer:
Oxana [17]3 years ago
7 0

Answer:

<u>The correct answer is r = ∛GM*T²/4π²</u>

Step-by-step explanation:

Let's rewrite the formula to find the period of orbit of a satellite around a planet, to solve for r, this way:

T^2=(4pi^2/GM)r^3

T² = (4π²/GM) * r³

r³ = T²/ (4π²/GM)

r³ = T² * GM/4π²

r³ = GMT²/4π²

∛r³ = ∛GM*T²/4π²

r = ∛GM*T²/4π²

<u>The correct answer is r = ∛GM*T²/4π²</u>

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