Spatial Structure of Regular and Chaotic Orbits in A Self-Consistent Triaxial Stellar System |
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| Authors: | J C Muzzio D D Carpintero F C Wachlin |
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| Institution: | (1) Facultad de Ciencias Astronómicas y Geofísicas, Universidad Nacional de La Plata, and Instituto de Astrofísica La Plata (UNLP-CONICET), 1900 La Plata, Argentina |
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| Abstract: | 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. |
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| Keywords: | triaxial stellar systems stellar orbits chaotic motion |
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