An analytic solution for the J2 perturbed equatorial orbit

Details An analytic solution for the J2 perturbed equatorial orbit An analytic solution for the J2 perturbed equatorial orbit

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..363j&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 30, Aug. 1983, p. 363-371.

Astronomy and Astrophysics

Astronomy

3

Artificial Satellites, Astrodynamics, Orbital Mechanics, Satellite Perturbation, Earth Orbits, Elliptic Functions, Equatorial Orbits, Position Errors, Velocity Errors

Scientific paper

An analytic solution for the J2 perturbed equatorial orbit is obtained in terms of elliptic functions and integrals. The necessary equations for computing the position and velocity vectors, and the time are given in terms of known functions. The perturbed periapsis and apoapsis distances are determined from the roots of a characteristic cubic.

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