Investigation of the restricted problem of three bodies of variable masses using computer algebra
- Авторы: Prokopenya A.1,2, Minglibayev M.3,4, Mayemerova G.3, Imanova Z.3
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Учреждения:
- Warsaw University of Life Sciences
- Innovation High School Collegium of Mazovia
- Al-Farabi Kazakh National University
- Fesenkov Astrophysical Institute
- Выпуск: Том 43, № 5 (2017)
- Страницы: 289-293
- Раздел: Article
- URL: https://journals.rcsi.science/0361-7688/article/view/176540
- DOI: https://doi.org/10.1134/S0361768817050061
- ID: 176540
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Аннотация
The classical restricted three-body problem for bodies with variable masses is discussed for the case when the masses of two bodies vary isotropically at different rates and their sum varies according to the joint Meshchersky law. Within the perturbation theory in Hills’s approximation, differential equations determining the secular perturbations of the orbital elements are obtained and it is shown that they are integrable under arbitrary laws governing the mass variations satisfying the joint Meshchersky law. The influence of the variations of the body masses on the evolution of the orbital parameters is comparable with the perturbations created by massive bodies. All symbolic computations are performed in Wolfram Mathematica.
Об авторах
A. Prokopenya
Warsaw University of Life Sciences; Innovation High School Collegium of Mazovia
Автор, ответственный за переписку.
Email: alexander_prokopenya@sggw.pl
Польша, ul. Novoursynovska 159, Moscow, 02-776; ul. Sokolowska 161, Siedlce, 09-110
M. Minglibayev
Al-Farabi Kazakh National University; Fesenkov Astrophysical Institute
Email: alexander_prokopenya@sggw.pl
Казахстан, Almaty, 050040; Almaty, 050020
G. Mayemerova
Al-Farabi Kazakh National University
Email: alexander_prokopenya@sggw.pl
Казахстан, Almaty, 050040
Zh. Imanova
Al-Farabi Kazakh National University
Email: alexander_prokopenya@sggw.pl
Казахстан, Almaty, 050040