A semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance

dc.creatorGueron, Eduardo
dc.date2005-02-15
dc.date2005-12-01
dc.date.accessioned2026-07-07T06:37:07Z
dc.date.available2026-07-07T06:37:07Z
dc.descriptionA Hamiltonian that approaches the study of the three-body problem in general relativity is obtained. We use it to study the relativistic version of the circular restricted three-body problem in which the first body is the heaviest and the third body is a test-particle. We focus on the orbits around the 3:2 resonance. We show that, in spite of the notable difference between the relativistic and Newtonian orbits, most of the resonant region is preserved. Nevertheless, differently from the Newtonian case, the frequencies between the second and the third body are no longer commensurable.
dc.description6 eps figures, accepted to Class. Quant. Grav
dc.identifierhttps://arxiv.org/abs/astro-ph/0502282
dc.identifierhttp://arxiv.org/abs/astro-ph/0502282
dc.identifierClass.Quant.Grav. 23 (2006) 673-682
dc.identifierdoi:10.1088/0264-9381/23/3/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100285
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance
dc.typetext

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