On The Dynamics of Non-Stationary Stellar Cluster in Galaxy

Toktasyn S. Kozhanov, K. A. Omarkulov

2003

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DOI 10.1017/s0074180900207560
Data confidence 70 medium
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Abstract

We followed Wielen's (1974) and Osipkov's, Kozhanov's (1986) procedure to derive the equation of motion of a cluster in the solar neighborhood in taking into account of a galactic tidal field, which is assume to have axial symmetry, and gravitational influence of spherical stellar clouds. On the basic of this equations and using the linear approximation for the galactic field (Wielen 1974) one can derive virial equation of Jacobi for variable masses of stellar clusters. The non-stability by Lagrange condition, describing behavior of this system is obtained.