The radiation damping terms in Synge's equations of motion

Abstract

Synge's [4] approximation method is developed to include the lowest-order radiation terms in the equations of motion. The method applies to systems which have been stationary at some finite time in the past, this restriction being necessary in order to ensure convergence of the integrals occurring in the higher orders of approximation. The results obtained are then compared with those of Chandrasekhar and Esposito [7] and of Anderson and Decanio [8].