## Integration of the Relativistic Equations of Motion of an Artificial Earth Satellite |

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Applications approximate periodic solution artificial Earth satellite Astrodynamic Birkhoff body is taken Bogoliubov Celestial Mechanics central body Chazy classical Newtonian Corinaldesi Differentiating equation Einstein's law Einstein's Theory elliptic function equation 15 EQUATIONS OF MOTION first-order approximate frequency geodesic Ghaffari Goddard Space Flight gravitational field gravitational radius Greenbelt Hagihara independent variable initial conditions integration of equation Keplerian orbit law of gravitation Lindstedt method Lindstedt perturbation method mass massive body McVittie Mitropolsky Newtonian force field Newtonian law Newtonian solution nonlinear numerical estimate Papapetrou Reference parameter Performing Organization perigee perihelion advances planets precession predicted by Einstein's relativistic effects relativistic term RELATIVISTS EQUATIONS Report Satellite orbits satellite that moves satisfying the initial Schwarzschild metric secular term Security Classif side of equation small term Zmu2 Solloway solution equation solution is compared solution obtained solution of equation Space Flight Center spherically symmetric Spinning Test-Particles test particle Theory of Relativity true anomaly unknown coefficients