Integration of the primer vector in a central force field
dc.contributor.author | Vinh, Nguyen X. | en_US |
dc.date.accessioned | 2006-09-11T15:50:45Z | |
dc.date.available | 2006-09-11T15:50:45Z | |
dc.date.issued | 1972-01 | en_US |
dc.identifier.citation | Vinh, N. X.; (1972). "Integration of the primer vector in a central force field." Journal of Optimization Theory and Applications 9(1): 51-58. <http://hdl.handle.net/2027.42/45248> | en_US |
dc.identifier.issn | 0022-3239 | en_US |
dc.identifier.issn | 1573-2878 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45248 | |
dc.description.abstract | This paper examines the primer vector which governs optimal solutions for orbital transfer when the central force field has a more general form than the usual inverse-square-force law. Along a null-thrust are that connects two successive impulses, the two sets of state and adjoint equations are decoupled. This allows the reduction of the problem to the integration of a linear first-order differential equation, and hence the solution of the optimal coasting are in the most general central force field can be obtained by simple quadratures. Immediate applications of the results can be seen in solving problems of escape in the equatorial plane of an oblate planet, satellite swing by, or station keeping around Lagrangian points in the three-body problem. | en_US |
dc.format.extent | 391970 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media | en_US |
dc.subject.other | Applications of Mathematics | en_US |
dc.subject.other | Engineering, General | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Theory of Computation | en_US |
dc.subject.other | Optimization | en_US |
dc.subject.other | Calculus of Variations and Optimal Control | en_US |
dc.subject.other | Optimization | en_US |
dc.subject.other | Operation Research/Decision Theory | en_US |
dc.title | Integration of the primer vector in a central force field | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45248/1/10957_2004_Article_BF00932804.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00932804 | en_US |
dc.identifier.source | Journal of Optimization Theory and Applications | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.