Analytical theory of a lunar artificial satellite with third body perturbations

DOI10.1007/S10569-006-9029-6zbMath1219.70066OpenAlexW2165684440MaRDI QIDQ850706

Bernard De Saedeleer

Publication date: 6 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-006-9029-6

zbMATH Keywords

HamiltonianEarthLie transformLunar artificial satellitethird body

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (9)

Planetary satellite orbiters: applications for the Moon ⋮ Some orbital characteristics of lunar artificial satellites ⋮ Effect of 3rd-degree gravity harmonics and Earth perturbations on lunar artificial satellite orbits ⋮ FROZEN ORBITS AROUND EUROPA ⋮ Position and velocity perturbations for the determination of geopotential from space geodetic measurements ⋮ Nonsphericity of the Moon and near Sun-synchronous polar lunar orbits ⋮ Semi-analytical model for third-body perturbations including the inclination and eccentricity of the perturbing body ⋮ 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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• Complete zonal problem of the artificial satellite: generic compact analytic first order in closed form
• The critical inclination problem ? 30 years of progress
• Canonical transformations depending on a small parameter
• The motion of a lunar satellite
• The equivalence of von Zeipel mappings and Lie transforms

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