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Solving procedure for 3D motions near libration points in CR3BPстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 26 февраля 2020 г.
- Авторы: Sergey Ershkov, Dmytro Leshchenko
- Журнал: Astrophysics and Space Science
- Том: 364
- Номер: 207
- Год издания: 2019
- Издательство: Springer Nature
- Местоположение издательства: Switzerland
- DOI: 10.1007/s10509-019-3692-z
- Аннотация: In a novel approach for solving equations of the CR3BP first formulated in Acta Mechanica, 228(7), 2719 (2017), we present in this communication a new solving procedure for Euler-Poisson equations for solving momentum equations of the CR3BP near libration points for uniformly rotating planets having inclined orbits in the solar system with respect to the orbit of the Earth. The system of equations of the CR3BP has been explored with regard to the existence of an analytic way of presentation of the approximated solution in the vicinity of libration points. A new and elegant ansatz is suggested in this publication whereby, in solving, the momentum equation is reduced to a system of three linear ODEs of 1st order in regard to the three components of the velocity of the infinitesimal mass m (dependent on time t). In this premise, a proper elegant partial solution has been obtained due to the invariant dependence between temporary components of the solution. We conclude that the system of CR3BP equations has not the analytical presentation of solution (in quadratures) even in the vicinity of the libration points except of the generalized Jacobi integral.
- Добавил в систему: Ершков Сергей Владимирович