Enter any two of the three variables in Kepler’s third law; mass, orbital radius, and time. The calculator will solve for the miss variable.
Kepler’s Third Law Formula
The following formula is created through Kepler’s third law of orbital motion.
G · m · t² = 4 · π² · r³
- Where G is the gravitational constant
- m is mass
- t is time
- and r is orbital radius
This equation can be further simplified into the following equations to solve for individual variables.
M= 4 · π² · r³ /t²*G
T = square root (4 · π² · r³ /m*G)
r = cube root (G · m · t²/4*π²)
This law states that the mass, orbital radius, and time are all related through the equation above.
Orbital speed is the rate at which an object, typically called a satellite, rotates around a larger body due to a velocity and the force of gravity.