Orbital structure of self-consistent cuspy triaxial stellar systems

Details Orbital structure of self-consistent cuspy triaxial stellar systems Orbital structure of self-consistent cuspy triaxial stellar systems

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cemda.105..379m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 105, Issue 4, pp.379-395

Astronomy and Astrophysics

Astronomy

5

Cuspy Triaxial Stellar Systems, Figure Rotation, Stellar Orbits, Chaotic Motion, Self-Consistent Models

Scientific paper

We used a multipolar code to create, through dissipationless collapses of systems of 106 particles, two cuspy self-consistent triaxial stellar systems with γ ≈ 1. One of the systems has an axial ratio similar to that of an E4 galaxy and it is only mildly triaxial ( T = 0.914), while the other one is strongly triaxial ( T = 0.593) and its axial ratio lies in between those of Hubble types E5 and E6. Both models rotate although their total angular momenta are zero, i.e., they exhibit figure rotation. The angular velocity is very small for the less triaxial model and, while it is larger for the more triaxial one, it is still comparable to that found by Muzzio (Celest Mech Dynam Astron 96(2):85-97, 2006) to affect only slightly the dynamics of a similar model. Except for minor evolution, probably caused by unavoidable relaxation effects of the N-body code, the systems are highly stable. The potential of each system was subsequently approximated with interpolating formulae yielding smooth potentials, stationary in frames that rotate with the models. The Lyapunov exponents could then be computed for randomly selected samples of the bodies that make up the two systems, allowing the recognition of regular and of partially and fully chaotic orbits. Finally, the regular orbits were Fourier analyzed and classified using their locations on the frequency map. Most of the orbits are chaotic, and by a wide margin: less than 30% of the orbits are regular in our most triaxial model. Regular orbits are dominated by tubes, long axis ones in the less triaxial model and short axis tubes in the more triaxial one. Most of the boxes are resonant (i.e., they are boxlets), as could be expected from cuspy systems.

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