Stability of Surface Motion on a Rotating Ellipsoid
dc.contributor.author | Guibout, Vincent | en_US |
dc.contributor.author | Scheeres, Daniel J. | en_US |
dc.date.accessioned | 2006-09-08T20:28:45Z | |
dc.date.available | 2006-09-08T20:28:45Z | |
dc.date.issued | 2003-11 | en_US |
dc.identifier.citation | Guibout, V.; Scheeres, D. J.; (2003). "Stability of Surface Motion on a Rotating Ellipsoid." Celestial Mechanics and Dynamical Astronomy 87(3): 263-290. <http://hdl.handle.net/2027.42/42566> | en_US |
dc.identifier.issn | 0923-2958 | en_US |
dc.identifier.issn | 1572-9478 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/42566 | |
dc.description.abstract | The dynamical environment on the surface of a rotating, massive ellipsoid is studied, with applications to surface motion on an asteroid. The analysis is performed using a combination of classical dynamics and geometrical analysis. Due to the small sizes of most asteroids, their shapes tend to differ from the classical spheroids found for the planets. The tri-axial ellipsoid model provides a non-trivial approximation of the gravitational potential of an asteroid and is amenable to analytical computation. Using this model, we study some properties of motion on the surface of an asteroid. We find all the equilibrium points on the surface of a rotating ellipsoid and we show that the stability of these points is intimately tied to the conditions for a Jacobi or MacLaurin ellipsoid of equilibria. Using geometrical analysis we can define global constraints on motion as a function of shape, rotation rate, and density, we find that some asteroids should have accumulation of material at their ends, while others should have accumulation of surface material at their poles. This study has implications for motion of a rover on an asteroid, and for the distribution of natural material on asteroids, and for a spacecraft hovering over an asteroid. | en_US |
dc.format.extent | 582600 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; Springer Science+Business Media | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Astronomy | en_US |
dc.subject.other | Ellipsoid | en_US |
dc.subject.other | Asteroid | en_US |
dc.subject.other | Equilibrium Point | en_US |
dc.subject.other | Stability | en_US |
dc.title | Stability of Surface Motion on a Rotating Ellipsoid | 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 | Aerospace Engineering Department, University of Michigan, 1320 Beal Avenue, Ann, Arbor, MI, 48109-2140, U.S.A | en_US |
dc.contributor.affiliationother | Mechanical Department, Ecole Polytechnique, 91128, Palaiseau Cedex, France | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/42566/1/10569_2004_Article_5124207.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/B:CELE.0000005720.09027.ee | en_US |
dc.identifier.source | Celestial Mechanics and Dynamical Astronomy | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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