Statistics – Computation
Scientific paper
Feb 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...210...42p&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 210, no. 1-2, Feb. 1989, p. 42-51.
Statistics
Computation
9
Computational Astrophysics, Ellipsoids, Galactic Structure, Virial Theorem, Anisotropy, Density Distribution, Tensor Analysis
Scientific paper
The triaxial equilibrium figures of rotating inhomogeneous ellipsoidal configurations with a density distribution stratified on similar ellipsoids, a mean streaming motion linear in the coordinates and an anisotropic pressure tensor (here referred to as 'anisotropic S-type Riemann ellipsoids') are analyzed in the framework of the tensor virial theorem. The equilibrium solutions are first represented by the values of the anisotropic pressure parameters consistent with a given ellipsoidal figure. The analogous of the classical Riemann equilibrium sequences are defined and the Dedekind's theorem is generalized to this contest. The equilibrium figures are then depicted giving the axial ratios compatible with a given value of the anisotropy. A stability analysis of the equilibrium is performed against odd mode second harmonical perturbations in the configuration space. Merits and limits of this approach to modeling elliptical galaxies are discussed.
Pacheco F.
Pucacco Giuseppe
Ruffini Remo
Sebastiani G.
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