The Statistics of the Gravitational Field Arising from a Random Distribution of Stars II

Abstract

view Abstract Citations (93) References Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Statistics of the Gravitational Field Arising from a Random Distribution of Stars II Chandrasekhar, S. ; von Neumann, J. Abstract This paper is devoted principally to a statistical analysis of the speed of fluctuations in the force per unit mass, F, acting on a star which is moving with a velocity v with respect to the centroid of the near-by stars. The solution to the problem depends on the evaluation of the first and the second mo- ments of the rate of change of F for a given value of F. The statistical problem has been solved on the assumptions of a uniform Poisson distribution of the stars and a spherical distribution of the velocities with respect to the chosen local standard of rest. No other restrictions have been introduced; in particular, proper allowance has been made for a distribution over the different masses M. It is found that FF~v=_kGMnB(~)(V_3~-~F) Publication: The Astrophysical Journal Pub Date: January 1943 DOI: 10.1086/144487 Bibcode: 1943ApJ....97....1C full text sources ADS | Related Materials (4) Erratum: 1943ApJ....98..136. Part 1: 1942ApJ....95..489C Part 3: 1944ApJ....99...25C Part 4: 1944ApJ....99...47C