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## Homework Statement

Planet X rotates in the same manner as the earth, around an axis through its north and south poles, and is perfectly spherical. An astronaut who weighs w on the Earth weighs w_1 at the north pole of Planet X and only w_2 at its equator. The distance from the north pole to the equator is L, measured along the surface of Planet X.

If a m satellite is placed in a circular orbit h above the surface of Planet X, what will be its orbital period?

## Homework Equations

T = 2(pi)(r)/v

## The Attempt at a Solution

I found the first part of the soln, which is the period of the planet. But I'm stuck on the second question because there's so many unknowns. I know angular velocity has to be the same but I got stuck with the calculation by using omega = v/r. Is this even correct though?

I know there's probably a simple soln but I'm so stuck, I can't think straight.

R' = R + h is the only thing I'm sure about...so pls help, I'm going crazy over this problem.

Many thanks in advance.