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

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-lin...

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Main Authors:	V. A. Antonov, S. N. Nuritdinov
Format:	Article
Language:	English
Published:	National Aviation University 2003-10-01
Series:	Вісник Астрономічної школи
Online Access:	http://astro.nau.edu.ua/issues/2003_V.4_Iss.1/040.html

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spelling	doaj-8f2f90feef6e4401b4822d7d534f85ad2020-11-25T01:40:03ZengNational Aviation UniversityВісник Астрономічної школи1607-28552411-66022003-10-0141404410.18372/2411-6602.04.10402411-6602.04.1040Nonlinear oscillations of some homogeneous models of stellar systems. I. the case of radial oscillationsV. A. Antonov0S. N. Nuritdinov1Pulkovo Observatory, RussiaAstronomy Department, Tashkent University, UzbekistanBy 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.http://astro.nau.edu.ua/issues/2003_V.4_Iss.1/040.html
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	V. A. Antonov S. N. Nuritdinov
spellingShingle	V. A. Antonov S. N. Nuritdinov Nonlinear oscillations of some homogeneous models of stellar systems. I. the case of radial oscillations Вісник Астрономічної школи
author_facet	V. A. Antonov S. N. Nuritdinov
author_sort	V. A. Antonov
title	Nonlinear oscillations of some homogeneous models of stellar systems. I. the case of radial oscillations
title_short	Nonlinear oscillations of some homogeneous models of stellar systems. I. the case of radial oscillations
title_full	Nonlinear oscillations of some homogeneous models of stellar systems. I. the case of radial oscillations
title_fullStr	Nonlinear oscillations of some homogeneous models of stellar systems. I. the case of radial oscillations
title_full_unstemmed	Nonlinear oscillations of some homogeneous models of stellar systems. I. the case of radial oscillations
title_sort	nonlinear oscillations of some homogeneous models of stellar systems. i. the case of radial oscillations
publisher	National Aviation University
series	Вісник Астрономічної школи
issn	1607-2855 2411-6602
publishDate	2003-10-01
description	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.
url	http://astro.nau.edu.ua/issues/2003_V.4_Iss.1/040.html
work_keys_str_mv	AT vaantonov nonlinearoscillationsofsomehomogeneousmodelsofstellarsystemsithecaseofradialoscillations AT snnuritdinov nonlinearoscillationsofsomehomogeneousmodelsofstellarsystemsithecaseofradialoscillations
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Nonlinear oscillations of some homogeneous models of stellar systems. I. the case of radial oscillations

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