Mathematics – Probability
Scientific paper
May 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...280..470s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 280, May 15, 1984, p. 470-475. Research supported by the Achievement Reward
Mathematics
Probability
48
Galactic Clusters, Gravitational Collapse, Mass Transfer, Distribution Functions, Red Shift, Relic Radiation, Velocity Distribution
Scientific paper
Monte Carlo simulations are made to determine the probability distribution of peculiar velocities and shear velocities of superclusters. Mass fluctuations on the scale of superclusters are represented as mass points distributed randomly in three dimensions. Accelerations and the components of the tidal tensor at the center of a spherical region due to the gravitation of masses exterior to the sphere are calculated. It is concluded that a peculiar velocity of ≡300 km s-1 for our supercluster implies a 95% probability that Ω > 0.2. A shear velocity of ≡150 km s-1 at our position in the supercluster is expected if superclusters have mass excesses of ≡3×1015 M_sun; (Ω ≡ 1) and are at a number density of 1 per (80 Mpc)3. The observed direction of motion of the Local Supercluster is found to be toward Hydra/Centaurus, the nearest large supercluster.
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