Astronomical School’s Report, 2003, Volume 4, Issue 1, Pages 25–32

https://doi.org/10.18372/2411-6602.04.1025
Download PDF
UDC 542

Remarks on the problem of stability in stellar dynamics

Antonov V.A.

Pulkovo Observatory, Russia

Abstract

Lyapunov’s method is applied to the problem of stability of stellar systems. The stability criterium is obtained for the particular case, when the phase density depends only on the energy integral.

Keywords:

References

  1. Babakov I.M. Teoriya kolebany, M., 1958.
  2. Chandrasekar S. Printsipy zvezdnoy dinamiki, M., 1948.
  3. Shnol’ E.E., Khazin L.G., Doklady AN SSSR, 1969, 185, P. 1018–1021.

Download PDF