Central Force Motion and Areal Velocity

Central force motion describes the path of an object acted on by a force that points toward a fixed point, usually the origin. The force size depends on how far the object is from that point. For a mass m, the motion is written in polar coordinates, which use distance and angle instead of x and y position.

The central force system involves a force acting on an object towards a fixed point, typically the origin. This force is determined by the object's distance from the fixed point.

If the mass of the object is 'm', polar coordinates are used to describe the equation of motion. 

The azimuthal component of force is zero. Rewriting this...