Assume that the force of gravity between two point masses is given by where is a constant.

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

Assume that the force of gravity between two point masses is given by

F = \frac{Gm_1m_2}{r^n}

where

n

is a constant. (1) Derive the law relating period to orbit radius for this force. (2) Deduce the value of

n

if this law is to be identical to Kepler's third law.