On one classical problem in the radial orbit instability theory
- Authors: Polyachenko E.V.1, Shukhman I.G.2
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Affiliations:
- Institute of Astronomy
- Institute of Solar–Terrestrial Physics
- Issue: Vol 42, No 2 (2016)
- Pages: 100-114
- Section: Article
- URL: https://journal-vniispk.ru/1063-7737/article/view/189535
- DOI: https://doi.org/10.1134/S1063773716020043
- ID: 189535
Cite item
Abstract
Antonov’s classical problem of stability of a collisionless sphere with a purely radial motion of stars is considered as a limit of the problem in which stars move in nearly radial orbits. We provide the proper limiting equations that take into account the singularity in the density distribution at the sphere center and give their solutions. We show that there is instability for even and odd spherical harmonics, with all unstable modes being not slow. The growth rates of aperiodic even modes increase indefinitely when approaching purely radial models. The physics of the radial orbit instability is discussed.
About the authors
E. V. Polyachenko
Institute of Astronomy
Author for correspondence.
Email: epolyach@inasan.ru
Russian Federation, ul. Pyatnitskaya 48, Moscow, 119017
I. G. Shukhman
Institute of Solar–Terrestrial Physics
Email: epolyach@inasan.ru
Russian Federation, Irkutsk, 664033
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