{ "id": "1011.3251", "version": "v1", "published": "2010-11-14T20:49:56.000Z", "updated": "2010-11-14T20:49:56.000Z", "title": "Cartesian approach for constrained mechanical systems", "authors": [ "Rafael Ramírez", "Natalia sadovskaia" ], "comment": "43 pages", "categories": [ "math.DS" ], "abstract": "In the history of mechanics, there have been two points of view for studying mechanical systems: Newtonian and Cartesian. According the Descartes point of view, the motion of mechanical systems is described by the first-order differential equations in the N dimensional configuration space . In this paper we develop the Cartesian approach for mechanical systems with constraints which are linear with respect to velocity.", "revisions": [ { "version": "v1", "updated": "2010-11-14T20:49:56.000Z" } ], "analyses": { "subjects": [ "70F35", "70H25", "34A34" ], "keywords": [ "constrained mechanical systems", "cartesian approach", "first-order differential equations", "dimensional configuration space", "descartes point" ], "note": { "typesetting": "TeX", "pages": 43, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1011.3251R" } } }