Statistics – Computation
Scientific paper
Jun 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993pasj...45..393w&link_type=abstract
PASJ: Publications of the Astronomical Society of Japan (ISSN 0004-6264), vol. 45, no. 3, p. 393-405.
Statistics
Computation
4
Anisotropy, Density Distribution, Galactic Clusters, Galactic Evolution, Quadrupoles, Astronomical Models, Computational Astrophysics, Cosmology, Ellipsoids, Equations Of Motion, Local Group (Astronomy)
Scientific paper
Most clusters and superclusters of galaxies have nonspherical configurations. In this paper, we discuss the effects of external tidal forces due to anisotropic density fields on the evolution of internal density perturbations. The equations of motion of homogeneous ellipsoids exposed to quadrupole anisotropies that grow according to the linear growth rates are numerically integrated. We compare the evolution of configurations and the axial peculiar velocities of ellipsoids with those of isolated ellipsoids. The infall velocities along the principal axes are considerably different from each other and are far from those of the isolated ellipsoids with the same axial ratios and density contrasts. When the conventional spherical infall model is applied to such an aspherical structure, whose density contrast is 2 or 3, the deviation of the derived cosmological density parameter from the true value depends on how such aspherical configurations are formed; the deviation is small if the cluster is tidally distorted, and the spherical model overestimates the density parameter considerably if it collapses by self-gravitation. The observed flatness of the Local Supercluster if it is combined with the external force derived by the previous work supports a low-density universe.
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