# Question #b5921

##### 1 Answer

Binding energy of a satellite is the energy which must be added to planet-satellite system to free the duo from their gravitational attraction.

If a satellite of mass

where

We know that for circular motion

and force of gravity is

As the system is in equilibrium, the centripetal force must be balanced by the gravitational attraction force between the two. Therefore we get

Inserting this value in (1) we get

When the planet-satellite duo are free from each others gravitational pull, (implies that

Using (3) we have