{ "id": "math-ph/0402046", "version": "v1", "published": "2004-02-17T10:29:41.000Z", "updated": "2004-02-17T10:29:41.000Z", "title": "A Generalized approach for computing the trajectories associated with the Newtonian N Body Problem", "authors": [ "AbuBakr Mehmood", "Syed Umer Abbas Shah", "Ghulam Shabbir" ], "comment": "9 Pages, 2 figures", "categories": [ "math-ph", "math.MP" ], "abstract": "The Classical Newtonian problem of describing the free motions of N gravitating bodies which form an isolated system in free space has been considered. It is well known from the Poincares Dictum that the problem is not exactly solvable. Sets of N body systems composed of masses having spherical symmetry, appropriate angular velocities (< 1 rad/s) and bounded position vectors are examined. A procedure has been developed which yields expressions approximately defining the trajectories executed by the masses.", "revisions": [ { "version": "v1", "updated": "2004-02-17T10:29:41.000Z" } ], "analyses": { "subjects": [ "00A69" ], "keywords": [ "body problem", "generalized approach", "trajectories", "appropriate angular velocities", "free motions" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }