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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
National Aviation University
2003-10-01
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| Series: | Вісник Астрономічної школи |
| Online Access: | http://astro.nau.edu.ua/issues/2003_V.4_Iss.1/040.html |
| Summary: | 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. |
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| ISSN: | 1607-2855 2411-6602 |