A Variable-Step Double-Integration Multi-Step Integrator
| dc.contributor.author | Berry, Matthew M. | |
| dc.contributor.author | Healy, Liam M. | |
| dc.date.accessioned | 2005-12-08T16:17:15Z | |
| dc.date.available | 2005-12-08T16:17:15Z | |
| dc.date.issued | 2004-02 | |
| dc.description | See also the dissertation of Matt Berry at http://scholar.lib.vt.edu/theses/available/etd-04282004-071227/ | en |
| dc.description.abstract | A 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.extent | 290751 bytes | |
| dc.format.extent | 146837 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | in 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.isbn | 0-87703-515-6 | |
| dc.identifier.uri | http://hdl.handle.net/1903/3025 | |
| dc.language.iso | en_US | en |
| dc.publisher | Univelt, Inc. | en |
| dc.relation.isAvailableAt | A. James Clark School of Engineering | en_us |
| dc.relation.isAvailableAt | Aerospace Engineering | en_us |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_us |
| dc.relation.isAvailableAt | University of Maryland (College Park, Md.) | en_us |
| dc.subject | numerical integration | en |
| dc.subject | second order differential equation | en |
| dc.subject | variable step | en |
| dc.subject | Shampine-Gordon | en |
| dc.subject | multi-step | en |
| dc.subject | Stormer-Cowell | en |
| dc.title | A Variable-Step Double-Integration Multi-Step Integrator | en |
| dc.type | Article | en |