Statistics – Computation
Scientific paper
Jun 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...198..135u&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 198, no. 1-2, June 1988, p. 135-149. Research supported by the Observatoire de
Statistics
Computation
66
Computational Astrophysics, Elliptical Galaxies, Stochastic Processes, Liapunov Functions, Mass Distribution
Scientific paper
Stochasticity is quantitatively estimated in a series of 24 triaxial models of elliptical galaxies by means of the Liapunov exponents. The mass distribution used is the triaxial version of the Rood profile, for which a computable procedure is set up in order to obtain the gravitational force. Three perturbing potentials are superposed to the basic one; a Plummer potential corresponding to a central mass concentration and two multipolar perturbations. Furthermore, different rotations and degrees of triaxiality are considered. For each model the six Liapunov exponents of each of 100 randomly selected orbits are computed numerically over about two Hubble times, which provides a quantitative estimate of stochasticity. The effects of density concentration, rotation, flattening, and departures from ellipticity can thus be quantified. Among other results, the most unexpected one is that all perturbations except rotation increase the degree of stochasticity.
Pfenniger Daniel
Udry Stephane
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