Complete zonal problem of the artificial satellite: generic compact analytic first order in closed form

DOI10.1007/S10569-004-1813-6zbMath1151.70330OpenAlexW1981015464MaRDI QIDQ815660

Bernard De Saedeleer

Publication date: 20 February 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-004-1813-6

zbMATH Keywords

HamiltonianLie transformartificial satellite theoryfirst orderclosed formzonal harmonic

Mathematics Subject Classification ID

Hamilton's equations (70H05) Celestial mechanics (70F15) Orbital mechanics (70M20) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (5)

Analytical theory of a lunar artificial satellite with third body perturbations ⋮ Exploring the long-term dynamics of perturbed Keplerian motion in high degree potential fields ⋮ Effect of 3rd-degree gravity harmonics and Earth perturbations on lunar artificial satellite orbits ⋮ Analytic orbit theory with any arbitrary spherical harmonic as the dominant perturbation ⋮ Secular dynamics of a lunar orbiter: a global exploration using Prony's frequency analysis

Cites Work

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• A note on first-order normalizations of perturbed Keplerian systems
• Decomposition of functions for elliptic orbits
• Third-Order Solution to the Main Problem in Satellite Theory

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