Hostname: page-component-84b7d79bbc-c654p Total loading time: 0 Render date: 2024-08-05T05:40:43.661Z Has data issue: false hasContentIssue false
  • English
  • Français

Solution of the Problem of Stability of a Stellar System With Emden's Density Law and a Spherical Distribution of Velocities

Published online by Cambridge University Press:  04 August 2017

V. A. Antonov
V. A. Antonov*
Affiliation:
Zhdanov State University, Leningrad, U.S.S.R.

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.

Applying a criterion previously derived by the author, the stability of stellar systems with an isotropic distribution velocity distribution and Emden's polytropic density law is demonstrated for the exponent n = 3/2.

Type
Appendices
Information
Symposium - International Astronomical Union , Volume 127: Structure and Dynamics of Elliptical Galaxies , 1987 , pp. 531 - 548
Copyright
Copyright © Reidel 1987 

References

REFERENCES

1. Emden, E., 1907. Gaskugeln, Leipzig.Google Scholar
2. Mikhlin, S.G., 1959. Lectures on Linear Integral Equations, Moscow, Fizmatgitz (State Publ. House for Phys. and Math. Literature).Google Scholar
3. Antonov, V.A., 1960. Astr. Zh., 37, 918.Google Scholar
4. Landau, L.D., & Lifshitz, E.M., 1960. Field Theory, Moscow, Fizmatgitz (State Publ. House for Phys. and Math. Literature).Google Scholar
5. Idelson, N.K., 1936. Theory of the Potential, Moscow, Gostekhizdat (State Publ. House for Scient. and Techn. Literature).Google Scholar
6. Hobson, E., 1952. Theory of Spherical and Ellipsoidal Functions, Moscow, Foreign Liter. Publ. House.Google Scholar