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, refers to the ratio of the cube of the semi-major axis of the elliptical orbit to the square of the period of all planets orbiting in an elliptical orbit with the sun as the focus. 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 = average radius of satellite orbit

M = satellite mass