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Scientist observe a small satellite orbiting a spherical iron astroid. What is the period of the satellite?

Answers:1   |   LastAnswerAt:2010.09  

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visitor
Frst Grade Rocks! Ω 
Asked at 2010.09.01 22:05:18
It is in low orbit.

First grade is so tough. Not only do they makes us learn math, but astronomy too!
answer Al P  Answered at 2010.09.01 22:05:18
My guess, First Grade

Kepler's Third Law:
Assuming density of iron: STP
ρ = 7874 kg/m^3
T^2/R^3 = 4 π^2 / (G Mi)
T^2/R^3 = 4 π^2 / (G [ρ 4 π R^3/ 3] )
T^2 = 3 4 π^2 / (G ρ 4 π )
T^2 = 3 π / (G ρ)
T = √ 3 π / (G ρ)
T = 4235.23 s
T = 1.176 hr
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