Abstract
A theory of perturbations due to the gravitational potential of a planet is derived applying the Hori-Lie algorithm and planet’s gravitational potential expressed using generalized lumped coefficients. The first and the second order secular, short- and long-period, and partly third order short-period perturbations are calculated including all zonal and tesseral coefficients. Formulas for perturbations include the eccentricity function and the inclination function in their general form and therefore can be applied for orbits with arbitrary eccentricity and arbitrary inclination, except the critical inclination.
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© 1995 Springer Science+Business Media New York
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Wnuk, E. (1995). Second Order Perturbations Due to the Gravity Potential of a Planet. In: Roy, A.E., Steves, B.A. (eds) From Newton to Chaos. NATO ASI Series, vol 336. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1085-1_26
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DOI: https://doi.org/10.1007/978-1-4899-1085-1_26
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-1087-5
Online ISBN: 978-1-4899-1085-1
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