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Central Force




This has some important consequences. The Energy of the object is conserved in time. Because of this last property, a central force field is an example of a Conservative Field . Since a central force is always parallel to the object's position vector, the Torque exerted by a central force on the object is zero. As a result, the Angular Momentum of an object in a central force field is constant, and the motion of the object takes place in a plane perpendicular to the angular momentum.


PROPERTIES

A central force can always be expressed as the negative Gradient of a Potential :

: \mathbf{F}(\mathbf{r}) = - \mathbf{