Nonlinear Stability in the Generalised Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag

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dc.creatorKushvah, B. S.
dc.creatorSharma, J. P.
dc.creatorIshwar, B.
dc.date2006-09-20
dc.date2007-11-12
dc.date.accessioned2026-07-07T08:46:15Z
dc.date.available2026-07-07T08:46:15Z
dc.descriptionThe Nonlinear stability of triangular equilibrium points has been discussed in the generalised photogravitational restricted three body problem with Poynting-Robertson drag. The problem is generalised in the sense that smaller primary is supposed to be an oblate spheroid. The bigger primary is considered as radiating. We have performed first and second order normalization of the Hamiltonian of the problem. We have applied KAM theorem to examine the condition of non-linear stability. We have found three critical mass ratios. Finally we conclude that triangular points are stable in the nonlinear sense except three critical mass ratios at which KAM theorem fails.
dc.descriptionIncluding Poynting-Robertson Drag the triangular equilibrium points are stable in the nonlinear sense except three critical mass ratios at which KAM theorem fails
dc.identifierhttps://arxiv.org/abs/math/0609543
dc.identifierhttp://arxiv.org/abs/math/0609543
dc.identifierAstrophysics and Space Science, Volume 312, Numbers 3-4 / December, 2007, 279-293
dc.identifierdoi:10.1007/s10509-007-9688-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143187
dc.subjectDynamical Systems
dc.subject70F15
dc.titleNonlinear Stability in the Generalised Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag
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