Central Force in classical Mechanics

In classical mechanics central force on an object is a force whose magnitude only depend on the distance object from the origin and is directed along the line joining them.

Mathematical form

[over→{F}=over→{F}(over→{r})=|over→{r}|ˆrF]

Example

Nuclear force with in nucleons depend upon the distance the distance is a central force.
Force Field is a central if and only if the field is spherically symmetric.