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Stability and asymptotic behaviour of the vertical family of periodic orbits around L_5 of the restricted three-body problem
dc.contributor.author | Jorba, Angel |
dc.contributor.author | Villanueva Castelltort, Jordi |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-10-04T16:28:33Z |
dc.date.available | 2007-10-04T16:28:33Z |
dc.date.issued | 1997 |
dc.identifier.uri | http://hdl.handle.net/2117/1230 |
dc.description.abstract | In this work we study some numerical results about a family of periodic orbits of the Restricted Three Body Problem (RTBP). The family considered is one of the Lyapunov families related to the equlibrium point $L_5$. More concretely, we deal with the family related to the vertical oscillations around this point. Here we present a study of the normal behaviour of this family for several values of the mass parameter $\mu$. We focus on the case in which $\mu$ tends to zero (note that $\mu=0$ is a degenerate case), and we identify the orbits for $\mu=0$ (they are Keplerian orbits around the primary) that give rise to the vertical family when $\mu\ne 0$. |
dc.format.extent | 6 pages |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Dynamics |
dc.subject.other | three-body problem |
dc.subject.other | periodic orbits |
dc.title | Stability and asymptotic behaviour of the vertical family of periodic orbits around L_5 of the restricted three-body problem |
dc.type | Article |
dc.subject.lemac | Partícules (Física nuclear) |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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