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- Авторлар: Titov V.B.1
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Мекемелер:
- Saint Petersburg State University
- Шығарылым: Том 59, № 3 (2025): VOL 59, NO3 (2025)
- Беттер: 281-288
- Бөлім: Articles
- URL: https://journals.rcsi.science/0320-930X/article/view/307970
- DOI: https://doi.org/10.31857/S0320930X25030096
- EDN: https://elibrary.ru/KWYNHF
- ID: 307970
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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Негізгі сөздер
Авторлар туралы
V. Titov
Saint Petersburg State University
Хат алмасуға жауапты Автор.
Email: tit@astro.spbu.ru
Saint Petersburg, Russia
Әдебиет тізімі
- Арнольд В.И., Козлов В.В., Нейштадт А.И. Математические аспекты классической и небесной механики. Изд. 2-e. М.: Эдиториал УРСС, 2002. 416 с. https://doi.org/10.1007/978-3-540-48926-9 (english edition)
- Иванюхин А.В., Петухов В.Г. Низкоэнергетические квазиоптимальные траектории с малой тягой к точкам либрации и гало-орбитам // Космич. исслед. 2020. V. 58. № 2. P. 165–175. https://doi.org/10.31857/s0023420620020053
- Barutello V., Ferrario D.L., Terracini S. Symmetry groups of the planar 3-body problem and action–minimizing trajectories // Archive for Rational Mech. and Analys. 2008. V. 190. P. 189–226. https://doi.org/10.1007/s00205-008-0131-7
- Broucke R., Boggs D. Periodic orbits in the planar general three body problem // Celest. Mech. 1975. V. 11. P. 13–38. https://doi.org/10.1007/bf01228732
- Chenciner A., Montgomery R. A remarkable periodic solution of the three-body problem in the case of equal masses // Ann. Mathemat. 2000. V. 152. № 3. P. 881–901. https://doi.org/10.2307/2661357
- Farquhar R., Kamel A. Quasi-periodic orbits about the translunar libration point // Celest. Mech. 1973. V. 7. P. 458–473. https://doi.org/10.1007/bf01227511
- Hénon M. A family of periodic solutions of the planar three-body problem, and their stability // Celest. Mech. 1976. V. 13. P. 267–285. https://doi.org/10.1007/bf01228647
- Moore Cr. Braids in classical dynamics // Phys. Rev. Lett. 1993. V. 70. № 1. P. 3675–3679. https://doi.org/10.1103/physrevlett.70.3675
- Moeckel R., Montgomery R. Symmetric regularization, reduction and blow-up of the planar three-body problem // Pacif. J. Mathemat. 2013. V. 262. № 1. P. 129. https://doi.org/10.2140/pjm.2013.262.129
- Richardson D. Analytic construction of periodic orbits about the collinear points // Celest. Mech. 1980. V. 22. P. 241–253. https://doi.org/10.1007/bf01229511
- Titov V. Symmetrical periodic orbits in the three body problem – the variational approach // Ann. Univ. Turkuensis. Ser. 1A. 2006. V. 358. P. 9–13.
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