Spatial Structure of Regular and Chaotic Orbits in Self-Consistent Models of Galactic Satellites

In several previous papers we had investigated the orbits of the stars that make up galactic satellites, finding that many of them were chaotic. Most of the models studied in those works were not self-consistent, the single exception being the Heggie and Ramamani (1995) models; nevertheless, these o...

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Autores principales: Muzzio, Juan Carlos, Mosquera, Mercedes Elisa
Formato: Articulo
Lenguaje:Inglés
Publicado: 2004
Materias:
Astronomía
chaotic motion
galactic satellites
stellar orbits
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/139525
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-139525
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Astronomía
chaotic motion
galactic satellites
stellar orbits
spellingShingle Astronomía
chaotic motion
galactic satellites
stellar orbits
Muzzio, Juan Carlos
Mosquera, Mercedes Elisa
Spatial Structure of Regular and Chaotic Orbits in Self-Consistent Models of Galactic Satellites
topic_facet Astronomía
chaotic motion
galactic satellites
stellar orbits
description In several previous papers we had investigated the orbits of the stars that make up galactic satellites, finding that many of them were chaotic. Most of the models studied in those works were not self-consistent, the single exception being the Heggie and Ramamani (1995) models; nevertheless, these ones are built from a distribution function that depends on the energy (actually, the Jacobi integral) only, what makes them rather special. Here we built up two self-consistent models of galactic satellites, freezed theirs potential in order to have smooth and stationary fields, and investigated the spatial structure of orbits whose initial positions and velocities were those of the bodies in the self-consistent models. We distinguished between partially chaotic (only one nonzero Lyapunov exponent) and fully chaotic (two non-zero Lyapunov exponents) orbits and showed that, as could be expected from the fact that the former obey an additional local isolating integral, besides the global Jacobi integral, they have different spatial distributions. Moreover, since Lyapunov exponents are computed over finite time intervals, their values reflect the properties of the part of the chaotic sea they are navigating during those intervals and, as a result, when the chaotic orbits are separated in groups of low- and high-valued exponents, significant differences can also be recognized between their spatial distributions. The structure of the satellites can, therefore, be understood as a superposition of several separate subsystems, with different degrees of concentration and trixiality, that can be recognized from the analysis of the Lyapunov exponents of their orbits.
format Articulo
Articulo
author Muzzio, Juan Carlos
Mosquera, Mercedes Elisa
author_facet Muzzio, Juan Carlos
Mosquera, Mercedes Elisa
author_sort Muzzio, Juan Carlos
title Spatial Structure of Regular and Chaotic Orbits in Self-Consistent Models of Galactic Satellites
title_short Spatial Structure of Regular and Chaotic Orbits in Self-Consistent Models of Galactic Satellites
title_full Spatial Structure of Regular and Chaotic Orbits in Self-Consistent Models of Galactic Satellites
title_fullStr Spatial Structure of Regular and Chaotic Orbits in Self-Consistent Models of Galactic Satellites
title_full_unstemmed Spatial Structure of Regular and Chaotic Orbits in Self-Consistent Models of Galactic Satellites
title_sort spatial structure of regular and chaotic orbits in self-consistent models of galactic satellites
publishDate 2004
url http://sedici.unlp.edu.ar/handle/10915/139525
work_keys_str_mv AT muzziojuancarlos spatialstructureofregularandchaoticorbitsinselfconsistentmodelsofgalacticsatellites
AT mosqueramercedeselisa spatialstructureofregularandchaoticorbitsinselfconsistentmodelsofgalacticsatellites
bdutipo_str Repositorios
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