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A generalized framework for the collinear restricted four-body problem with a central dominant massстатья Исследовательская статья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 23 января 2026 г.
- Авторы: Javed Idrisi M., Suraj Md Sanam, Ershkov S., Abouelmagd Elbaz I., Beza Dawit
- Журнал: Scientific reports
- Том: 15
- Номер: 1
- Год издания: 2025
- Издательство: Nature Publishing Group
- Местоположение издательства: United Kingdom
- Номер статьи: 36440
- DOI: 10.1038/s41598-025-20510-y
- Аннотация: This study extends the classical circular restricted three-body problem (CR3BP) by introducing a dominant central primary, forming a collinear restricted four-body problem (CR4BP) that better reflects the dynamics of real planetary systems. The model remains dynamically consistent and non-degenerate when the central mass parameter μ0 lies in (½, 1) and the peripheral mass μ satisfies 0 < μ < ½ (1 – μ0). It generalizes to the CR3BP by setting μ0 = 0, recovering classical results. The system exhibits six libration points: four collinear and two symmetric non-collinear points forming an isosceles triangle with the peripheral primaries. Non-collinear points emerge via a saddle-node bifurcation at a critical μ = μc and as μ increases further within the range μc < μ < ½ (1 – μ0), these points move away from the x-axis and gradually align closer to the y-axis, while remaining symmetric with respect to the x-axis. The stability analysis reveals that collinear libration points L1, L3 and L4 are linearly unstable under all conditions while L2 is stable in the interval 0 < μ < μ* where μ* is a critical threshold for L2. The non-collinear points are linearly stable within a defined interval μc < μ < μc1. Finally, these results are applied to the Saturn–Janus–Epimetheus system to illustrate the model’s practical relevance.
- Добавил в систему: Ершков Сергей Владимирович
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