# Centripetal Acceleration

Written by Jerry Ratzlaff. Posted in Relativistic Mechanics

Centripetal acceleration is acceleration towards the center that keeps an object in an elliptical orbit.

## formula

$$a_c = \frac { v^2 } { r }$$

Where:

$$a_c$$ = centripetal acceleration

$$v$$ = velocity

$$r$$ = radius

Solve for:

$$v = \sqrt { a r }$$

$$r = \frac { v^2 } { a }$$