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Problem: The potential energy U of an object of mass m that is separated by a distance R from an object of mass M is given by U= -GMm/RFind an expression for the square of the orbital period.

FREE Expert Solution

Gravitational Force:

F=GM1M2R2

Centripetal Force:

F=mv2R

Velocity:

v=distance, dt

Distance covered in one revolution:

d = 2πR

The velocity of the object:

v = d/T = 2πR/T

v2 = 4π2R2/T2

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Problem Details

The potential energy U of an object of mass m that is separated by a distance R from an object of mass M is given by U= -GMm/R

Find an expression for the square of the orbital period.

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