Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites

DOI10.1155/2009/753653zbMath1188.70050OpenAlexW2017286961WikidataQ58649478 ScholiaQ58649478MaRDI QIDQ966287

Martin Lara, Jesús F. Palacián

Publication date: 23 April 2010

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227898

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (6)

Reduced 4D oscillators and orbital elements in Keplerian systems: Cushman-Deprit coordinates ⋮ Planetary satellite orbiters: applications for the Moon ⋮ Lunar frozen orbits revisited ⋮ Mission design through averaging of perturbed Keplerian systems: the paradigm of an Enceladus orbiter ⋮ Semi-analytical model for third-body perturbations including the inclination and eccentricity of the perturbing body ⋮ Long-term evolution of orbital inclination due to third-body inclination

Cites Work

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• Frozen orbits for satellites close to an Earth-like planet
• Dynamics of a satellite orbiting a planet with an inhomogeneous gravitational field
• Secular motion around synchronously orbiting planetary satellites
• The elimination of the parallax in satellite theory
• Canonical transformations depending on a small parameter
• The main problem of artificial satellite theory for small and moderate eccentricities
• Delaunay normalisations

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