Orbit propagation with Lie transfer maps in the perturbed Kepler problem

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dc.contributor.authorHealy, Liam M.
dc.date.accessioned2005-11-18T14:30:01Z
dc.date.available2005-11-18T14:30:01Z
dc.date.issued2003-02
dc.description.abstractThe Lie transfer map method may be applied to orbit propagation problems in celestial mechanics. This method, described in another paper, is a perturbation method applicable to Hamiltonian systems. In this paper, it is used to calculate orbits for zonal perturbations to the Kepler (two-body) problem, in both expansion in the eccentricity and closed form. In contrast with a normal form method like that of Deprit, the Lie transformations here are used to effect a propagation of phase space in time, and not to transform one Hamiltonian into another.en
dc.format.extent221004 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationCelestial Mechanics and Dynamical Astronomy, Volume 85, Number 2, pp. 175-207, 2003.en
dc.identifier.issn0923-2958
dc.identifier.urihttp://hdl.handle.net/1903/3022
dc.language.isoen_USen
dc.publisherSpringer Science+Business Media B.V.en
dc.relation.isAvailableAtA. James Clark School of Engineeringen_us
dc.relation.isAvailableAtAerospace Engineeringen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_us
dc.subjectLie transformationen
dc.subjectorbit propagationen
dc.subjectcomputer algebraen
dc.subjectperturbationen
dc.subjectgeopotentialen
dc.titleOrbit propagation with Lie transfer maps in the perturbed Kepler problemen
dc.typeArticleen

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