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On The Dynamics of Non-Stationary Stellar Cluster in Galaxy

Published online by Cambridge University Press:  26 May 2016

T.S. Kozhanov
Affiliation:
Kazakh national agrarian university 480100, Almaty-100, ave. Abai 8
K.A. Omarkulov
Affiliation:
Kokshetau University, Republic of Kazakhstan

Abstract

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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.

Type
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Copyright
Copyright © Astronomical Society of the Pacific 2003 

References

Osipkov, L.P., Kozhanov, T.S. 1986. In: Stationary and non-stationary gravitating systems. Almaty, Nauka. P. 1418. (in Russian) Google Scholar
Wielen, R., 1974. In Proceedings of the first Europ. Astron. Meeting, L.N. 2.P.236 Google Scholar
King, I.R., 1962. Astr. J. V. 67, N 8. P.471.Google Scholar