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Perturbed Hill's problem with variable mass
Author(s) -
Bouaziz Ferdaous,
Ansari Abdullah A.
Publication year - 2021
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.202113870
Subject(s) - infinitesimal , variable (mathematics) , lagrangian , three body problem , motion (physics) , lagrangian point , classical mechanics , stability (learning theory) , equations of motion , inverse problem , physics , inverse , space (punctuation) , mathematics , mathematical analysis , mathematical physics , geometry , computer science , machine learning , operating system
In the present paper, we investigate the dynamical behavior and motion of an infinitesimal body in the Hill problem under some perturbations. As it has been commonly noticed, this problem can be seen as a particular case of the classical restricted three‐body problem. For numerical investigations, we first set the equations of motion of the infinitesimal body that we suppose having a variable mass according to Jeans' law. We get an effective and perceptible variation due to parameters in both the locations of lagrangian points, regions of motion, and basins of attraction. Finally, we examine the stability for the lagrangian points using Meshcherskii's space–time inverse transformations.