On the anisotropic Manev problem

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dc.contributor.authorCraig, Scott
dc.contributor.authorDiacu, Florin
dc.contributor.authorLacomba, Ernesto A.
dc.contributor.authorPerez, Ernesto
dc.date.accessioned2010-05-31T15:47:42Z
dc.date.available2010-05-31T15:47:42Z
dc.date.copyright1996en
dc.date.issued2010-05-31T15:47:42Z
dc.description.abstractThe anisotropic Manev problem describes the motion of two bodies in an Euclidean space in which the gravitational force acts differently in each direction. The potential is the sum between the inverse and the inverse square of the distance, where the distance is defined such that it embodies the anisotropy of the space. Using McGehee coordinates, we blow up the collision singularity, paste a collision manifold to the phase space, study the flow on and near the collision manifold, and find a rich set of collision orbits having positive measure. In the zero-energy case we describe all possible connections between equilibria and/or cycles at collision and at infinity and find the main qualitative features of the flow.en
dc.description.sponsorshipNSERC Grant OGP0122045 and Conacyt Grant 1772-E9210en
dc.identifier.urihttp://hdl.handle.net/1828/2825
dc.language.isoenen
dc.relation.ispartofseriesDM-736-IRen
dc.titleOn the anisotropic Manev problemen
dc.typeTechnical Reporten

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