The Restricted Six-Body Problem with Stable Equilibrium Points and a Rhomboidal Configuration
نویسندگان
چکیده
We explore the central configuration of rhomboidal restricted six-body problem in Newtonian gravity, which has four primaries m i (where id="M2"> = 1 , … 4 ) at vertices rhombus id="M3"> a 0 , id="M4"> − id="M5"> b and id="M6"> respectively, a fifth mass id="M7"> is point intersection diagonals rhombus, placed center coordinate system (i.e., origin id="M8"> 0,0 ). The rhombus’s opposite are assumed to be equal, that is, id="M9"> 2 id="M10"> 3 ˜ . After writing equations motion, we express id="M11"> id="M12"> terms parameters id="M13"> id="M14"> Finally, find bounds on id="M15"> id="M16"> for positive masses. In second part this article, investigate motion different features test particle (sixth body id="M17"> 5 with infinitesimal moves under gravitational effect five configuration. All cases have 16, 12, 20, 12 equilibrium points, case-I, case-II, case-III having stable points. A significant shift position number points was found variations id="M18"> id="M19"> regions possible particles been discovered. It also observed as Jacobian constant id="M20"> C increases, permissible region expands. numerically verified linear stability analysis cases, shows presence
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ژورنال
عنوان ژورنال: Advances in Astronomy
سال: 2022
ISSN: ['1687-7977', '1687-7969']
DOI: https://doi.org/10.1155/2022/8100523