For a planet orbiting a star of mass

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

M

, at an orbital radius of

R

, and with an orbital period

T

, Kepler's third law states that (1)

\frac{T^3}{R^2} = \frac{GM}{4\pi^2}

(2)

\frac{T^3}{R^2} = \frac{4\pi^2}{GM}

(3)

\frac{T^2}{R^3} = \frac{GM}{4\pi^2}

(4)

\frac{T^2}{R^3} = \frac{4\pi^2}{GM}