An improved singular perturbation solution for bound geodesic orbits in the Schwarzschild metric

Details An improved singular perturbation solution for bound geodesic orbits in the Schwarzschild metric An improved singular perturbation solution for bound geodesic orbits in the Schwarzschild metric

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..149m&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Feb. 1984, p. 149-159.

Computer Science

1

Equations Of Motion, Geodetic Coordinates, Orbital Mechanics, Particle Motion, Perturbation Theory, Schwarzschild Metric, Differential Equations, Error Analysis, Orbit Perturbation, Particle Trajectories, Position Errors, Precession, Relativity

Scientific paper

A modification to the Lindstedt-Poincaré method of strained parameters is applied to the differential equation of the orbit of a test particle in the Schwarzschild exterior metric. A new perturbation solution for the equation of the bound orbit, which is completely free of secular terms in the angular coordinate, is derived. The precession of the orbit per revolution is calculated using this solution and it is found to give a more accurate result than existing perturbation solutions.

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