Kepler's Laws of Planetary Motion

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Kepler's first law

The orbit of every planet is an ellipse with the sun at one of the two foci.

 

Kepler's Second law

A line joining a planet and the Sun sweeps out equal areas during equal intervals of time.

 

Kepler's third law

The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.

 

Kepler's third law formula

\(\large{ P^2 = a^2   }\)   

Where:

\(\large{ P }\) = planet's distance from the sum

\(\large{ a }\) = semi-major axis of the planet's orbit

 

See:

 

Tags: Equations for Gravity Equations for Motion