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A Variable-Step Double-Integration Multi-Step Integrator

dc.contributor.authorBerry, Matthew M.
dc.contributor.authorHealy, Liam M.
dc.date.accessioned2005-12-08T16:17:15Z
dc.date.available2005-12-08T16:17:15Z
dc.date.issued2004-02
dc.identifier.citationin Coffey, Mazzoleni, Luu, Glover, eds., Spaceflight Mechanics 2004: Proceedings of the 14th AAS/AIAA Space Flight Mechanics Meeting held Feb. 8-12, 2004, Maui, Hawai'i, Advances in the Astronautical Sciences, Volume 119, pp. 2097-2116. Paper AAS 04-238.en
dc.identifier.isbn0-87703-515-6
dc.identifier.urihttp://hdl.handle.net/1903/3025
dc.descriptionSee also the dissertation of Matt Berry at http://scholar.lib.vt.edu/theses/available/etd-04282004-071227/en
dc.description.abstractA variable-step double-integration multi-step integrator is derived using divided differences. The derivation is based upon the derivation of Shampine-Gordon, a single-integration method. Variable-step integrators are useful for propagating elliptical orbits, because larger steps can be taken near apogee. As a double-integration method, the integrator performs only one function evaluation per step, whereas Shampine-Gordon requires two evaluations per step, giving the integrator a significant speed advantage over Shampine-Gordon. Though several implementation issues remain, preliminary results show the integrator to be effective.en
dc.format.extent290751 bytes
dc.format.extent146837 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen
dc.publisherUnivelt, Inc.en
dc.subjectnumerical integrationen
dc.subjectsecond order differential equationen
dc.subjectvariable stepen
dc.subjectShampine-Gordonen
dc.subjectmulti-stepen
dc.subjectStormer-Cowellen
dc.titleA Variable-Step Double-Integration Multi-Step Integratoren
dc.typeArticleen
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


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