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## Homework Statement

Suppose that Captain Omega of the Imperial Space Patrol wishes to place a spy satellite in geosynchronous orbit above the mysterious Planet X, which has a mass of 5.90 x1024 kg, and a rotational period of 26.4 hours.

(a) What should be the radius of the satellite's orbit?

(b) What would be the orbital speed of the satellite?

## Homework Equations

## The Attempt at a Solution

I used the law of periods : T

^{2}/r

^{3}= 4∏

^{2}/GM

So I rearranged that to get:

r = (GMT

^{2}/ 4∏

^{2})

^{1/3}

I plugged in:

G = 6.67 e -11

M = 5.9 e 24 kg

T = 95040s

I ended up with 2.06e8 m = 2.06e5 km

But that answer isn't right and I don't understand what I'm doing wrong.