Nonlinear longitudinal dynamics of an orbital lifting vehicle
dc.contributor.author | Vinh, Nguyen X. | en_US |
dc.contributor.author | Dobrzelecki, Arthur J. | en_US |
dc.date.accessioned | 2006-09-08T20:28:10Z | |
dc.date.available | 2006-09-08T20:28:10Z | |
dc.date.issued | 1971-07 | en_US |
dc.identifier.citation | Vinh, Nguyen X.; Dobrzelecki, Arthur J.; (1971). "Nonlinear longitudinal dynamics of an orbital lifting vehicle." Celestial Mechanics 3(4): 427-460. <http://hdl.handle.net/2027.42/42557> | en_US |
dc.identifier.issn | 0008-8714 | en_US |
dc.identifier.issn | 1572-9478 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/42557 | |
dc.description.abstract | This paper presents an analytical study of the longitudinal dynamics of a thrusting, lifting, orbital vehicle in a nearly circular orbit. The translational motion is composed of a nonlinear oscillation, or phugoid, and a spiral mode which results in either decay or dilatation of the orbit depending on the perturbed initial conditions. The nonlinear effects on the phugoid period and damping are small in the altitude range considered. Elements of the orbit such as radial distance, velocity, and flight path angle were obtained explicitly as functions of time. The behavior of the variations of these elements is correctly predicted. Explicit expressions for period and damping of the angle-of-attack mode were derived. It is shown that a critical altitude may exist at which the phugoid mode and the angle-of-attack mode have nearly equal periods. Near this resonance altitude linearized solutions are no longer valid and a study of the nonlinear equations shows that there is a strong interactions between the translational and the rotational modes resulting in a switching of the two frequencies of oscillations. | en_US |
dc.format.extent | 2383634 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; D. Reidel Publishing Company ; Springer Science+Business Media | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Astronomy | en_US |
dc.title | Nonlinear longitudinal dynamics of an orbital lifting vehicle | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Astronomy | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Dept. of Aerospace Engineering, The University of Michigan, 48104, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationother | Air Force Weapons Laboratory, Kirtland Air Force Base, USAF, N.M., USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/42557/1/10569_2005_Article_BF01227791.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01227791 | en_US |
dc.identifier.source | Celestial Mechanics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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