One-Parameter Class of First Integrals of the Post-Newtonian Equations of Motion in the Einstein Theory of Gravitation

摘要

Post-newtonian equations of motion for two bodies are obtained by means of the Lagrange function of many body system in the potential coordinates. Dependence of first integrals on the coordinate system is examined. It is shown that corrections to Newtonian first integrals do not depend on the choice of coordinates.