Second Order Normalization in the Generalized 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.date2006-02-23
dc.date2006-03-08
dc.date.accessioned2026-07-07T07:03:43Z
dc.date.available2026-07-07T07:03:43Z
dc.descriptionIn this paper we have performed second order normalization in the generalised photogravitaional restricted three body problem with Poynting-Robertson drag. We have performed Birkhoff's normalization of the Hamiltonian. For this we have utilised Henrard's method and expanded the coordinates of the third body in Double d'Alembert series. We have found the values of first and second order components. The second order components are obtained as solutions of the two partial differential equations. We have employed the first condition of KAM theorem in solving these equations. The first and second order components are affected by radiation pressure, oblateness and P-R drag. Finaly we obtained the third order part $H_3$ of the Hamiltonian in $I_1^{1/2}I_2^{1/2}$ zero.
dc.description12pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0602528
dc.identifierhttp://arxiv.org/abs/math/0602528
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109081
dc.subjectDynamical Systems
dc.subject70F15
dc.titleSecond Order Normalization in the Generalized Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag
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