Perturbation of relativistic effect in the dynamics of test particleстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 17 апреля 2024 г.
Аннотация:In this work, the dynamical system of two–body problem under the relativistic effect as a perturbation is considered. The escape conditions and scattering angle are studied, appropriate formulae of scattering angle and escape velocity are found. Furthermore, within the frame of semi–analytical ansatz, two different solutions are found and analyzed: approximation solutions and extended version of Kepler solution. We have demonstrated that the dynamical behaviour of the test particle will drastically be changed according to the initial conditions and the proposed particular assumptions for the particular class of solutions.