Der Einfluß eines Sterndichtegradienten auf die Verteilung des Gravitations-Mikrofeldes in Sternhaufen

Abstract

The probability distribution of the gravitational microfield at a fixed space point in a stellar cluster is determined using the Markov-method and neglecting statistical correlations between individual stars so that they are moving independently of each other in the macroscopical field of the whole cluster. In presence of a stellar density gradient, the distribution of the deviations from the mean gravitational field is found to be an anisotropically deformed Holtsmarkian with its maximum shifted to a field deviation vector antiparallel to the density gradient.