Sputnik's period around the earth

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To compute the orbital period of Sputnik I, the first artificial satellite, one must use the relationship between centripetal force and gravitational force. The mean orbital radius of Sputnik I is 6953 km. The relevant formula involves equating centripetal force to gravitational force, which can be rearranged to solve for the period. The formula typically used is F = 4(pi)mr^2/T, where T represents the period. By substituting the known values, the period can be calculated accurately.
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Homework Statement


Sputnik I, the first artificial satellite to circle the planet (October 1957) had a mean orbital radius of 6953 km. Compute its period

Homework Equations



How do I compute the period?

The Attempt at a Solution


I thought that the radii of the sputnik could be compared to that of the moon, and same tih the period.
 
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All satellite/orbit solutions begin with
Centripetal Force = Force of gravity
Then put in the two force formulas. If you are interested in the period use the centripetal force formula that has period instead of velocity - something like F = 4(pi)mr^2/T (I probably have not remembered that exactly right!)

As usual, solve for the quantity you want to find.
 

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