Abstract
An analytic solution for theJ 2 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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Jezewski, D.J. An analytic solution for theJ 2 perturbed equatorial orbit. Celestial Mechanics 30, 363–371 (1983). https://doi.org/10.1007/BF01375506
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DOI: https://doi.org/10.1007/BF01375506