|
ИСТИНА |
Войти в систему Регистрация |
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
Solving procedure for the motion of infinitesimal mass in BiER4BPстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Scopus,
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 29 апреля 2021 г.
- Авторы: Ershkov Sergey, Leshchenko Dmytro, Rachinskaya Alla
- Журнал: European Physical Journal Plus
- Том: 135
- Номер: 7
- Год издания: 2020
- Номер статьи: 603
- DOI: 10.1140/epjp/s13360-020-00579-2
- Аннотация: In this paper, we present a new ansatz for solving equations of motion for the trapped orbits of the infinitesimal mass m, which is moving near the primary M3 in case of bi-elliptic restricted problem of four bodies (BiER4BP), where three primaries M1, M2, M3 are rotating around their common centre of mass on elliptic orbits with hierarchical configuration M3 << M2 << M1.A new type of the solving procedure is implemented here to obtain the coordinates of the infinitesimal mass m with its orbit located near the primary M3. Meanwhile, the system of equations of motion has been successfully explored with respect to the existence of analytical or semi-analytical (approximated) way for presentation of the solution.We obtain as follows: 1) the solution for coordinate x is described by the key non-linear ordinary differential equation of fourth order at simplifying assumptions, 2) solution for coordinate y is given by the proper analytical expression, depending on coordinate x and true anomaly f, 3) the expression for coordinate z is given by the equation of Riccati-type - it means that coordinate z should be quasi-periodically oscillating close to the fixed plane {x,y,0}.
- Добавил в систему: Ершков Сергей Владимирович