
%0 Journal Article
%A Cook, JL 
%T Solutions of the Relativistic Two-Body Problem. I. Classical Mechanics
%J Australian Journal of Physics
%D 1972/04/01
%V 25
%N 2
%P 117-140
%K 
%R https://doi.org/10.1071/PH720117
%U https://www.publish.csiro.au/paper/PH720117 
%X The chief difficulty of lack of simultaneity of events in all Lorentz frames in relativistic mechanics is overcome using a proper time calibration method. The electromagnetic and gravitational point source interactions are derived. A Lagrangian and Hamiltonian formalism is shown to be valid. The mechanics can be quantized easily. Relativistic corrections are applied to the problem of planetary motion, a model for the relativistic Coulomb interaction is explored, and the relativistic harmonic oscillator is evaluated. 
