A simple calculation of the rate of emission of energy and of linear and angular momentum by a paint charge in arbitrary motion

We calculate directly the rates of emission of energy and linear momentum b y a point charge in arbitrary motion using mathematical results that render the calculation of solid-angle integrals very simple. We show that the res ults of these explicit calculations agree with those based on covariance, i llustrating how deeply special relativity is rooted in classical electrodyn amics. Then, we use these covariance arguments to calculate the emission of angular momentum, which is a new result. We also indicate how this calcula tion can be done in the direct, but much longer, way. (C) 1999 American Ass ociation of Physics Teachers.