BA’ZI LOKAL INTEGRALLARINING YULDUZLAR DINAMIKASIDA MAVJUDLIGI HAQIDA
Keywords:
stellar dynamics, gravitational potential, local integral of motions.
Abstract
The paper presents studies of a class of such potentials for which the motion of a star admits some local integrals of motion. It is shown that linear or quadratic integrals in terms of velocity components, independent of the energy integral, or in the presence of rotation of the Jacobi integral, are very wider than the true integrals of motion. Special cases of the existence of a local integral in a three-dimensional gravitational field are also considered.
References
1. Антонов В.А. «Локальный квадратичный интеграл в звездной динамике», Вестник ЛГУ, №19, 1981
2. Antonov V.A., Shamshiev F.T. «Local integrals and the plane motion of a point in rotating systems», Celest. Mech. And Dyn. Astron., v.56, p.451, 1993
3. Антонов В.А., Шамшиев Ф.Т. «Специальный класс потенциалов, допускающих локальный интеграл», Астрономический журнал, 1992, т.69, вып. 5, стр. 971-977.
4. Shamshiev F.T. «On The Potential of a Rotating Bar of Regular Galaxies», Journal of The Korean Astronomical Society, 29, pp. 73-74, 1996
2. Antonov V.A., Shamshiev F.T. «Local integrals and the plane motion of a point in rotating systems», Celest. Mech. And Dyn. Astron., v.56, p.451, 1993
3. Антонов В.А., Шамшиев Ф.Т. «Специальный класс потенциалов, допускающих локальный интеграл», Астрономический журнал, 1992, т.69, вып. 5, стр. 971-977.
4. Shamshiev F.T. «On The Potential of a Rotating Bar of Regular Galaxies», Journal of The Korean Astronomical Society, 29, pp. 73-74, 1996
Published
2024-03-29
How to Cite
Fazliddin SHAMSHIYEV. (2024). BA’ZI LOKAL INTEGRALLARINING YULDUZLAR DINAMIKASIDA MAVJUDLIGI HAQIDA. News of the NUUz, 3(3.1), 520-524. https://doi.org/10.69617/uzmu.v3i3.1.1946
Section
Articles
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