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Dynamics of a small planetoid in Newtonian gravity field of Lagrangian configuration of three primariesстатья
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: 15 февраля 2024 г.
- Авторы: Ershkov Sergey, Leshchenko Dmytro, Rachinskaya Alla
- Журнал: Archive of Applied Mechanics
- Том: 93
- Номер: 10
- Год издания: 2023
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- Первая страница: 4031
- Последняя страница: 4040
- DOI: 10.1007/s00419-023-02476-3
- Аннотация: Novel method for semi-analytical solving of equations of a trapped dynamics for a planetoid m_4 close to the plane of mutual motion of main bodies around each other (in case of a special type of Bi-Elliptic Restricted 4-Bodies Problem) is presented. We consider here three primaries m_1, m_2, m_3 orbiting around their center of mass on elliptic orbits which are permanently forming Lagrangian configuration of an equilateral triangle. Our aim is to obtain approximate coordinates of quasi-planar trajectory of the infinitesimal planetoid m_4, when the primaries have masses equal to 1/3 (not stable configuration of the Lagrange solution). Results are as follows: (1) equations for coordinates {x, y} are described by system of coupled second-order ODEs with respect to true anomaly f and (2) expression for z stems from solving second-order Riccati ordinary differential equation that determines the quasi-periodical oscillations of planetoid m_4 not far from invariant plane {x, y, 0}.
- Добавил в систему: Ершков Сергей Владимирович