Intermediate-thrust arcs and their optimality in a central, time-invariant force field
dc.contributor.author | Archenti, A. R. | en_US |
dc.contributor.author | Vinh, Nguyen X. | en_US |
dc.date.accessioned | 2006-09-11T15:46:41Z | |
dc.date.available | 2006-09-11T15:46:41Z | |
dc.date.issued | 1973-03 | en_US |
dc.identifier.citation | Archenti, A. R.; Vinh, N. X.; (1973). "Intermediate-thrust arcs and their optimality in a central, time-invariant force field." Journal of Optimization Theory and Applications 11(3): 293-304. <http://hdl.handle.net/2027.42/45193> | en_US |
dc.identifier.issn | 1573-2878 | en_US |
dc.identifier.issn | 0022-3239 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45193 | |
dc.description.abstract | This paper presents the general equations of the intermediate-thrust arcs in a general, time-invariant, central force field. Two families of planar arcs, namely, the family of Lawden's spirals in the equatorial plane of an oblate planet and the family of intermediate-thrust arcs in a gravitational field of the form μ/ r n , have been considered in detail. The Kelley-Contensou condition has been used to test their optimality condition. It is shown that, in the first case, there exist portions of the arcs at a finite distance satisfying the condition, while, in the second case, the entire family satisfies the condition for n ≥ 3. Hence, in a perturbed Newtonian gravitational force field, the intermediate-thrust arcs, under certain favorable conditions, can be part of an optimal trajectory. | en_US |
dc.format.extent | 487860 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 | Theory of Computation | en_US |
dc.subject.other | Optimization | en_US |
dc.subject.other | Optimization | en_US |
dc.subject.other | Operation Research/Decision Theory | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Applications of Mathematics | en_US |
dc.subject.other | Calculus of Variations and Optimal Control | en_US |
dc.subject.other | Engineering, General | en_US |
dc.title | Intermediate-thrust arcs and their optimality in a central, time-invariant 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.affiliationother | Departamento de Aeronautica, Universidad Nacional de la Plata, La Plata, Argentina | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45193/1/10957_2004_Article_BF00935198.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00935198 | en_US |
dc.identifier.source | Journal of Optimization Theory and Applications | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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