T = 2 x pi x sqrt(r^3 / GM) in AP Physics C: Mechanics

Definition

The formula T = 2 x pi x sqrt(r^3 / GM) represents the period (T) of an object in circular orbit around a central mass. It relates the period to the radius (r) of the orbit, the gravitational constant (G), and the mass (M) of the central object.

Related terms

Gravitational Constant (G):

This constant, denoted by G, represents the strength of gravity between two objects. It determines how much force is exerted between them based on their masses and distance.

Newton (N): A unit of measurement for force. In this context, it refers to forces involved in gravitational interactions or any other type of force acting on an object.

Circular Orbit:

An orbit in which an object moves around another object in a circular path due to gravitational attraction. The centripetal force required for this motion is provided by gravity.