Speed and Accuracy Tests of the Variable-Step Störmer-Cowell Integrator

dc.contributor.authorBerry, Matthew M.
dc.contributor.authorHealy, Liam M.
dc.date.accessioned2005-12-08T19:07:39Z
dc.date.available2005-12-08T19:07:39Z
dc.date.issued2005-02
dc.descriptionSee also the dissertation of Matt Berry http://scholar.lib.vt.edu/theses/available/etd-04282004-071227/.en
dc.description.abstractThe variable-step Stormer-Cowell integrator is a non-summed, double-integration multi-step integrator derived in variable-step form. The method has been implemented with a Shampine-Gordon style error control algorithm that uses an approximation of the local error at each step to choose the step size for the subsequent step. In this paper, the variable-step Stormer-Cowell method is compared to several other multi-step integrators, including the fixed-step Gauss-Jackson method, the Gauss-Jackson method with s-integration, and the variable-step single-integration Shampine- Gordon method, in both orbit propagation and orbit determination. The results show the variable-step Stormer-Cowell method is comparable with Gauss-Jackson using s-integration, except in high drag cases where the variable-step Stormer-Cowell method has an advantage in speed and accuracy.en
dc.format.extent325291 bytes
dc.format.extent418173 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/pdf
dc.identifier.citationin Vallado, Gabor, Desai, eds. Spaceflight Mechanics 2005: Proceedings of the AAS/AIAA 15th Space Flight Mechanics Meetings held Jan. 23-27, 2005, Copper Mountain, Colorado, pp. 1167 -1182en
dc.identifier.isbn087703-520-2
dc.identifier.urihttp://hdl.handle.net/1903/3027
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.subjectnumerical integrationen
dc.subjectorbit propagationen
dc.subjectStörmer-Cowellen
dc.subjectShampine-Gordonen
dc.subjectsecond order differential equationen
dc.titleSpeed and Accuracy Tests of the Variable-Step Störmer-Cowell Integratoren
dc.typeArticleen

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