Out-of-plane motion about libration points: Nonlinearity and eccentricity effects
dc.contributor.author | Heppenheimer, T. A. | en_US |
dc.date.accessioned | 2006-09-08T20:28:26Z | |
dc.date.available | 2006-09-08T20:28:26Z | |
dc.date.issued | 1973-02 | en_US |
dc.identifier.citation | Heppenheimer, T. A.; (1973). "Out-of-plane motion about libration points: Nonlinearity and eccentricity effects." Celestial Mechanics 7(2): 177-194. <http://hdl.handle.net/2027.42/42561> | en_US |
dc.identifier.issn | 0008-8714 | en_US |
dc.identifier.issn | 1572-9478 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/42561 | |
dc.description.abstract | Out-of-plane motion about libration points is studied within the framework of the elliptic restricted three-body problem. Nonlinear motion in the circular restricted problem is given to third order in the out-of-plane amplitude A z by Jacobi elliptic functions. Linear motion in the elliptic problem is studied using Mathieu's and Hill's equations. Additional terms needed for a complete third-order theory are found using Lindsted's method. This theory is constructed for the case of collinear libration points; for the case of triangular points, a third-order nonlinear solution is given separately in terms of Jacobi elliptic functions. | en_US |
dc.format.extent | 1328576 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 | Out-of-plane motion about libration points: Nonlinearity and eccentricity effects | 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 | Science Applications, Inc., Schiller Park, Ill., USA; Department of Aerospace Engineering, University of Michigan, 48104, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/42561/1/10569_2005_Article_BF01229946.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01229946 | en_US |
dc.identifier.source | Celestial Mechanics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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