Analytic orbit theory with any arbitrary spherical harmonic as the dominant perturbation

DOI10.1007/S10569-019-9923-3zbMath1451.70048OpenAlexW2974960330MaRDI QIDQ2005650

Bharat Mahajan, Kyle T. Alfriend

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10569-019-9923-3

zbMATH Keywords

artificial satellite theoryzonal harmonicsorbit theorytesseral harmonics433 Eroscanonical perturbation methodslunar orbiter

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (1)

Closed-form perturbation theory in the restricted three-body problem without relegation

Cites Work

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• Complete zonal problem of the artificial satellite: generic compact analytic first order in closed form
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• The fifth-order analytical solution of the equations of motion of a satellite in orbit around a non-spherical planet
• Elimination of the perigee in the satellite problem
• The elimination of the parallax in satellite theory
• Third-Order Solution to the Main Problem in Satellite Theory
• Canonical transformations depending on a small parameter
• Expansion formulae in canonical transformations depending on a small parameter

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