Mathematics – Logic
Scientific paper
Dec 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...263..485h&link_type=abstract
Astrophysical Journal, Part 1, vol. 263, Dec. 15, 1982, p. 485-500.
Mathematics
Logic
46
Astronomical Models, Cosmology, Dynamic Models, Gravitational Effects, Hubble Constant, Virgo Galactic Cluster, Astrodynamics, Galactic Clusters, Space Density, Velocity Distribution
Scientific paper
Dynamical models can follow the gravitational evolution of an assumed initially small but intrinsically bound spherical density enhancement in an expanding Friedmann-Robertson-Walker cosmology from the time of recombination through the period of 'first turnaround' to the present epoch. Such a dynamical model predicts the present-day values of the velocity dispersion and the mass density as a function of radius. Hoffman et al. (1980) fitted models only to velocity dispersion data. The present investigation is concerned with the employment of dynamical models to calculate the velocity deviation from pure Hubble flow of the Local Group due to the gravitational effect of the Virgo galaxy cluster and its surrounding supercluster, for various values of the cosmological density parameter Omega. Attention is also given to models with initial conditions which are not 'simple and monotonic' but instead surround the central density enhancement with a second shell-like enhancement.
Hoffman Lyle G.
Salpeter Edwin E.
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