The generalized Sundman transformation for propagation of high-eccentricity elliptical orbits

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dc.contributor.authorBerry, Matthew M.
dc.contributor.authorHealy, Liam M.
dc.date.accessioned2005-11-04T20:30:57Z
dc.date.available2005-11-04T20:30:57Z
dc.date.issued2002-01
dc.descriptionSee also dissertation of Matt Berry at http://scholar.lib.vt.edu/theses/available/etd-04282004-071227/en
dc.description.abstractA generalized Sundman transformation dt = cr^n ds for exponent n >= 1 may be used to accelerate the numerical computation of high-eccentricity orbits, by transforming time t to a new independent variable s. Once transformed, the integration in uniform steps of s effectively gives analytic step variation in t with larger time steps at apogee than at perigee, making errors at each point roughly comparable. In this paper, we develop techniques for assessing accuracy of s-integration in the presence of perturbations, and analyze the effectiveness of regularizing the transformed equations. A computational speed comparison is provided.en
dc.format.extent1116600 bytes
dc.format.extent259878 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/pdf
dc.identifier.citationin Alfriend, Neta, Luu, Hilton Walker, eds., Spaceflight Mechanics 2002, vol. 112 of Advances in the Astronautical Sciences, pp. 127-146en
dc.identifier.isbn0877034958
dc.identifier.urihttp://hdl.handle.net/1903/3013
dc.language.isoen_USen
dc.publisherUnivelt, Inc.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.subjectSundman transformationen
dc.subjectregularizationen
dc.subjectlinearizationen
dc.subjectKustaanheimo-Stiefel transformationen
dc.subjectintermediate anomalyen
dc.subjects-integrationen
dc.subjectanalytical step regulationen
dc.subjectorbit propagationen
dc.subjectvariable stepen
dc.subjectnumerical integrationen
dc.titleThe generalized Sundman transformation for propagation of high-eccentricity elliptical orbitsen
dc.typeArticleen

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