Approximating orbits in a rotating gravity field with oblateness and ellipticity perturbations

DOI10.1007/s10569-022-10061-zzbMath1482.70023arXiv2108.09607OpenAlexW3195037339MaRDI QIDQ2073339

Ethan R. Burnett, Hanspeter Schaub

Publication date: 1 February 2022

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.09607

zbMATH Keywords

nonlinear oscillationsapproximationspherical harmonicsJacobi integralasteroidsorbit perturbations

Mathematics Subject Classification ID

Orbital mechanics (70M20)

Cites Work

• Analytic propagation of near-circular satellite orbits in the atmosphere of an oblate planet
• Exact Delaunay normalization of the perturbed Keplerian Hamiltonian with tesseral harmonics
• The effect of \(C_{22}\) on orbit energy and angular momentum
• Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations
• Quasi-terminator orbits near primitive bodies.
• On the equinoctial orbit elements
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