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The main problem in satellite theory revisited

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Publication:1582385
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DOI10.1023/A:1008305628985zbMath0961.70018MaRDI QIDQ1582385

Liam M. Healy

Publication date: 28 May 2001

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


zbMATH Keywords

Hamiltoniannormal formgenerating functionclosed form solutionLie transformationDelaunay normalizationhierarchy of algebrasJ(2) perturbationobject-oriented automatic symbolic manipulator


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Orbital mechanics (70M20)


Related Items (6)

Solution to the main problem of the artificial satellite by reverse normalization ⋮ Delaunay variables approach to the elimination of the perigee in artificial satellite theory ⋮ Satellite onboard orbit propagation using Deprit's radial intermediary ⋮ A note on lower bounds for relative equilibria in the main problem of artificial satellite theory ⋮ A new radial, natural, higher-order intermediary of the main problem four decades after the elimination of the parallax ⋮ Brouwer's satellite solution redux




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