Astronomical School’s Report, 2003, Volume 4, Issue 1, Pages 6–13

https://doi.org/10.18372/2411-6602.04.1006
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UDC 524.7

An energy of oscillations of conservative systems with internal flows

Antonov V.A.

Pulkovo Observatory, Russia

Abstract

Self-gravitating conservative systems having internal flows are investigated. The sign of energy of oscillations and stability criterion of rotating systems are analyzed.

Keywords:

References

  1. Timoshenko S.P. Ustoychivost’ uprugikh sistem, M.-L.: GITTL, 1946, 532 p.
  2. Zel’dovich Ya.B., Novikov I.D. Relyativistskaya astrofizika, M., 1967, 654 p.
  3. Aller L. Astrofizika. Vol. 2, M.: IL, 1957, 325 p.
  4. Lau G.G., Lin C.C., Mark J.W. Unstable spiral modes in disk-shaped galaxies, Proc. Nat. Acad. Sci. USA, 1976, 73, P. 1379–1381. https://doi.org/10.1073/pnas.73.5.1379
  5. Marochnik L.S., Suchkov A.A. Galaktika, M.: Nauka, 1984, 392 p.
  6. Antonov V.A. Tochnoe opredelenie spektra sobstvennykh kolebany zvezdnykh sistem na primere modeli ploskogo odnorodnogo sloya, Tr. Astron. observ. LGU, 1971, 28, P. 64–85.
  7. Antonov V.A., Nuritdinov S.N. Prostaya zvezdno-dinamicheskaya model’ kol’tsevoy struktury i ee ustoychivost’, Astrofizika, 1983, 19, P. 547–558.
  8. Polyachenko V.L., Fridman A.M. Ravnovesie i ustoychivost’ gravitiruyuschikh sistem, M.: Nauka, 1976, 447 p.
  9. Malkin I.G. Teoriya ustoychivosti dvizheniya, M.: Nauka, 1966, 530 p.
  10. Gantmakher F.R., Kreyn M.G. Ostsillyatsionnye matritsy i yadra i malye kolebaniya mekhanicheskikh sistem, M.-L.: Gostekhteorizdat, 1950, 360 p.
  11. Uitteker B.T. Analiticheskaya dinamika, M.-L.
  12. Mikhaylovsky A.B. Teoriya plazmennykh neustoychivostey. Vol. 1. Neustoychivosti odnorodnoy plazmy, M.: Atomizdat, 1975, 272 p.
  13. Antonov V.A., Baranov A.S. Usilenie spiral’nykh voln plotnosti v gazopylevykh diskakh galaktik v rezul’tate vzaimodeystviya s galo, Astron. zh, 2000, 44, P. 647–653.

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