{ "id": "2206.04997", "version": "v1", "published": "2022-06-10T11:10:37.000Z", "updated": "2022-06-10T11:10:37.000Z", "title": "Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard", "authors": [ "K. D. Anderson" ], "comment": "13 pages, 7 figures", "categories": [ "math.DS" ], "abstract": "We investigate a rotated, orthogonal gravitational wedge billiard - a special case of the asymmetric wedge billiard - in which the dynamics are integrable. We derive equations and conditions under which periodic orbits may be constructed for this model, and show that any other trajectory will be dense in the configuration space.", "revisions": [ { "version": "v1", "updated": "2022-06-10T11:10:37.000Z" } ], "analyses": { "subjects": [ "70F99" ], "keywords": [ "rotated orthogonal gravitational wedge billiard", "asymmetric wedge billiard", "special case", "periodic orbits", "configuration space" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }