Kepler's Third Law states that the squares of the orbital periods of planets are directly proportional to the cubes of the semi-major axis of the orbits.
G = Universal Gravitational Constant = 6.6726 x 10-11N-m2/kg2 r = Satellite Mean Orbital Radius M = Planet Mass
The period of the Moon is approximately 27.2 days (2.35x106 s). Determine the radius of the Moon's orbit. Mass of the earth = 5.98x1024 kg, T = 2.35x106 s, G = 6.6726 x 10-11N-m2/kg2.
Substitute the values in the below Satellite Mean Orbital Radius equation:
This example will guide you to calculate the Satellite Mean Orbital Radius manually.
Determine lo's mass, which orbits Jupiter at an orbital radius of 4.218 x 108 at every 151200 seconds. r = 4.218 x 108 m, T = 151200 s, G = 6.6726 x 10-11N-m2/kg2.
Substitute the values in the below Mass equation:
This example will guide you to calculate the Mass of the object manually.
This tutorial will help you dynamically to find the Planetary Motion of Kepler's Third Law problems.