Kepler's Third Law (Periodic Law) Calculator

Kepler's Third Law of Planetary Motion

Gravitational constant (G) = 6.6726 x 10-11N-m2/kg2
I want to calculate
Satellite orbit average radius (r) = m
Planet mass (M) = kg
Satellite orbit period (T) = s
 

Kepler's third law of planetary motion, also known as the periodic law, states that for all planets orbiting in elliptical orbits with the sun as the focus, the ratio of the cube of the semi-major axis of the elliptical orbit to the square of the period is a constant. It is often used in the calculation of elliptical orbits.

Kepler's Third Law of Planetary Motion

Satellite orbit period
T = sqrt(4*PI2*r3/GM)

here

G = gravitational constant = 6.6726 x 10-11N-m2/kg2

r = mean radius of satellite orbit

M = Satellite mass