The Main Problem in Satellite Theory Revisited

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dc.contributor.authorHealy, Liam M.
dc.date.accessioned2005-08-16T19:05:41Z
dc.date.available2005-08-16T19:05:41Z
dc.date.issued2000
dc.description.abstractAbstract. Using the elimination of the parallax followed by the Delaunay normalization, we present a procedure for calculating a normal form of the main problem (J2 perturbation only) in satellite theory. This procedure is outlined in such a way that an object-oriented automatic symbolic manipulator based on a hierarchy of algebras can perform this computation. The Hamiltonian after the Delaunay normalization is presented to order six explicitly in closed form, that is, in which there is no expansion in the eccentricity. The corresponding generating function and transformation of coordinates, too lengthy to present here to the same order; the generator is given through order four.en
dc.format.extent217620 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationCelestial Mechanics and Dynamical Astronomy, Volume 76, Number 2, pp. 79--120, 2000.en
dc.identifier.issn0923-2958
dc.identifier.urihttp://hdl.handle.net/1903/2811
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.subjectNormal formen
dc.subjectClosed formen
dc.subjectComputer algebraen
dc.subjectAstrodynamicsen
dc.subjectSatellite orbiten
dc.subjectGeopotentialen
dc.subjectPerturbationen
dc.titleThe Main Problem in Satellite Theory Revisiteden
dc.typeArticleen

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