Astronomical School’s Report, 2003, Volume 4, Issue 1, Pages 40–44

https://doi.org/10.18372/2411-6602.04.1040
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UDC 542

Nonlinear oscillations of some homogeneous models of stellar systems. I. the case of radial oscillations

Antonov V.A.1, Nuritdinov S.N.2

1Pulkovo Observatory, Russia
2Astronomy Department, Tashkent University, Uzbekistan

Abstract

By the method of lagrangian coordinates the non-linear radial oscillations of self-consistent models – the Camm’s sphere, the Maclaurin’s disc and the cylinder – are studied. In all these models the velocity diagram is anisotropic. It is found that the cylinder is stable even with respect to non-linear oscillations. The sphere and disc are stable in non-linear case is the energy of perturbation is less than the parabolic limit.

Keywords:

References

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