Density variation in a star field traversed by a globular cluster
Abstract
The hydrodynamic equations of stellar dynamics are used to study the flow around a point mass (M)  a globular cluster  moving through a homogeneous star field at constant velocity (V). A formula is derived for the increment in stellar density projected onto a map surface as compared to the nondisturbed spatial density. A characteristic parameter for this increment is the quantity 2GM divided by V squared. Therefore, knowing the velocity of the globular cluster in relation to the local centroid, it is possible to determine the mass of the cluster, including the mass of a black hole if there is one in its center, on the basis of star counts in the vicinity of the cluster.
 Publication:

Astronomicheskii Zhurnal
 Pub Date:
 October 1974
 Bibcode:
 1974AZh....51..973A
 Keywords:

 Density Distribution;
 Globular Clusters;
 Hydrodynamic Equations;
 Star Distribution;
 Stellar Motions;
 Astronomical Models;
 Black Holes (Astronomy);
 Field Theory (Physics);
 Mass;
 Partial Differential Equations;
 Stellar Gravitation;
 Astrophysics