Hostname: page-component-848d4c4894-jbqgn Total loading time: 0 Render date: 2024-06-14T04:19:26.508Z Has data issue: false hasContentIssue false
  • English
  • Français

Dynamical Evolution of Stellar Clusters and Associations in the Field of Tidal Forces of the Galaxy

Published online by Cambridge University Press:  12 April 2016

T.S. Kozhanov
T.S. Kozhanov*
Affiliation:
Astrophysical Institute of the Kazakh Academy of Sciences, 480068 Alma-Ata, 68, Russia

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The equations of motion of the star-members of the cluster averaged on the elliptic orbits are obtained. These equations take into account the tidal forces of the Galaxy. The generalization of the Lagrange-Jacobi equation and Sundman inequality for non-classical scheme of the many-body problems is revised. The dynamical evolution of the moment of inertia is studied. Some theorems which determine the type of the star motion in the cluster are formulated.

Type
Part III Stellar Systems and Galaxies
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 183 - 192
Copyright
Copyright © Nova Science Publishers 1993

References

[1] Ambartsumian, V.A.: 1954, in The Communication of the Byurakan Observatory, N4, p.3–35 (in Russian)Google Scholar
[2] Demin, V.G. and Evteev, V.P.: 1988, Elliptical Problems Three Bodies. “Donich”, Dushanbe, p.133 (in Russian).Google Scholar
[3] Khilmi, G.F.: 1954, Qualitative Methods in the Many-Body Problem (in Russian).Google Scholar
[4] Kozhanov, T.S.: 1990, in: Problems of Celestial Mech. and Stellar Systems. “Nauka”: Alma-Ata. p.97–107 (in Russian).Google Scholar
[5] Kozhanov, T.S.: 1983 in: The Stellar Clusters and the Problems of Stellar Evolutions. Ural State University, Sverdlovsk, p.111–120 (in Russian).Google Scholar
[6] Kozhanov, T.S.: 1990, Kinamatics and Physics of the Celestial Bodies, V.6, N3, p.8–14 (Russian).Google Scholar
[7] Tie, Liu and Sun, Y.S.: 1977/1989, Celes. Mech. V.44, N1-2, p. 117–134.Google Scholar
[8] Osipkov, L.P. and Kozhanov, T.S.: Proc. of the Astrophys. Institute of the Kazahk Academy of Sciences. Alma-Ata. V.45, p.32–47 (in Russian).Google Scholar
[9] Pollard, H.:1967, J. Math. Mech. V.17, 601–612.Google Scholar