Spatial Structure of Regular and Chaotic Orbits in A Self-Consistent Triaxial Stellar System
| Autor: | Juan C. Muzzio, Daniel Diego Carpintero, F. C. Wachlin |
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| Rok vydání: | 2005 |
| Předmět: |
Ciencias Físicas
Chaotic Collapse (topology) Lyapunov exponent Self consistent law.invention symbols.namesake law Chaotic motion Mathematical Physics Physics Frequency analysis Applied Mathematics Order (ring theory) Astronomy and Astrophysics Symmetry (physics) Astronomía Computational Mathematics Classical mechanics Space and Planetary Science Triaxial steelar systems Modeling and Simulation symbols Stellar orbits Schwarzschild radius CIENCIAS NATURALES Y EXACTAS |
| Zdroj: | Celestial Mechanics and Dynamical Astronomy. 91:173-190 |
| ISSN: | 1572-9478 0923-2958 |
| Popis: | We created a triaxial stellar system through the cold dissipationless collapse of 100,000 particles whose evolution was followed with a multipolar code. Once an equilibrium system had been obtained, the multipolar expansion was freezed and smoothed in order to get a stationary smooth potential. The resulting model was self-consistent and the orbits and Lyapunov exponents could then be computed for a randomly selected sample of 3472 of the bodies that make up the system. More than half of the orbits (52.7 % ) turned out to be chaotic. Regular orbits were then classified using the frequency analysis automatic code of Carpintero and Aguilar (1998, MNRAS 298(1), 1-21). We present plots of the distributions of the different kinds of orbits projected on the symmetry planes of the system. We distinguish chaotic orbits with only one non-zero Lyapunov exponent from those with two non-zero exponents and show that their spatial distributions differ, that of the former being more similar to the one of the regular orbits. Most of the regular orbits are boxes and boxlets, but the minor axis tubes play an important role filling in the wasp waists of the boxes and helping to give a lentil shape to the system. We see no problem in building stable triaxial models with substantial amounts of chaotic orbits; the difficulties found by other authors may be due not to a physical cause but to a limitation of Schwarzschild's method. © 2005 Springer. Fil: Muzzio, Juan Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina Fil: Carpintero, Daniel Diego. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina Fil: Wachlin, Felipe Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina |
| Databáze: | OpenAIRE |
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