Second order perturbation theory for spin-orbit resonances

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dc.creatorFlynn, A. E.
dc.creatorSaha, P.
dc.date2005-05-27
dc.date.accessioned2026-07-07T11:24:24Z
dc.date.available2026-07-07T11:24:24Z
dc.descriptionWe implement Lie transform perturbation theory to second order for the planar spin-orbit problem. The perturbation parameter is the asphericity of the body, with the orbital eccentricity entering as an additional parameter. We study first and second order resonances for different values of these parameters. For nearly spherical bodies like Mercury and the Moon first order perturbation theory is adequate, whereas for highly aspherical bodies like Hyperion the spin is mostly chaotic and perturbation theory is of limited use. However, in between, we identify a parameter range where second order perturbation theory is useful and where as yet unidentified objects may be in second order resonances.
dc.descriptionTo appear in AJ
dc.identifierhttps://arxiv.org/abs/astro-ph/0505559
dc.identifierhttp://arxiv.org/abs/astro-ph/0505559
dc.identifierAstron.J.130:295-307,2005
dc.identifierdoi:10.1086/430410
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195181
dc.subjectAstrophysics
dc.titleSecond order perturbation theory for spin-orbit resonances
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