The solution of the Generalized Kepler's equation
Space Physics
2019-02-15 v1
Abstract
In the context of general perturbation theories, the main problem of the artificial satellite analyses the motion of an orbiter around an Earth-like planet, only perturbed by its equatorial bulge or J2 effect. By means of a Lie transform and the Krylov-Bogoliubov-Mitropolsky method, a first-order theory in closed form of the eccentricity is produced. During the evaluation of the theory it is necessary to solve a generalization of the classical Kepler's equation. In this work, the application of a numerical technique and three initial guesses to the Generalized Kepler's equation are discussed.
Cite
@article{arxiv.1902.05463,
title = {The solution of the Generalized Kepler's equation},
author = {Rosario López and Denis Hautesserres and Juan Félix San-Juan},
journal= {arXiv preprint arXiv:1902.05463},
year = {2019}
}
Comments
8 pages, 9 figures