Astronomy and Astrophysics – Astrophysics
Scientific paper
2000-10-17
Proceedings of the International Conference on Stellar Dynamics: Classical to Modern, 21-27 August 2000, St. Petersburg State
Astronomy and Astrophysics
Astrophysics
a contributed talk at The International Conference on Stellar Dynamics: From Classical to Modern, Sobolev Astronomical Institu
Scientific paper
This talk provides a progress report on an extended collaboration which has aimed to address two basic questions, namely: Should one expect to see cuspy, triaxial galaxies in nature? And can one construct realistic cuspy, triaxial equilibrium models that are robust? Three technical results are described: (1) Unperturbed chaotic orbits in cuspy triaxial potentials can be extraordinarily sticky, much more so than orbits in many other three-dimensional potentials. (2) Even very weak perturbations can be important by drastically reducing, albeit not completely eliminating, this stickiness. (3) A simple toy model facilitates a simple understanding of why black holes and cusps can serve as an effective source of chaos. These results suggest that, when constructing models of galaxies using Schwarzschild's method or any analogue thereof, astronomers would be well advised to use orbital building blocks that have been perturbed by `noise' or other weak irregularities, since such building blocks are likely to be more nearly time-independent than orbits evolved in the absence of all perturbations.
Kandrup Henry E.
Pogorelov Ilya V.
Sideris Ioannis V.
Siopis Christos
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