Geosynchronous Orbits Video Lessons

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Problem: Find an expression for the square of the orbital period.

FREE Expert Solution

Gravitational force:

F=GMmR2

Centripetal Force:

F=mv2R

Velocity for a circular orbit:

v=CircumfrenceT=2πRT

m is the mass of a planet, M, the mass of the sun, R, the radius of the orbit, T, the time take to cover one revolution.

For the planet to remain in a uniform circular orbit, the gravitational force must equal the expression for centripetal force.

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Find an expression for the square of the orbital period.

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