{ "id": "1612.08367", "version": "v1", "published": "2016-12-26T11:37:19.000Z", "updated": "2016-12-26T11:37:19.000Z", "title": "Note on the ideal frame formulation", "authors": [ "Martin Lara" ], "comment": "17 pages", "categories": [ "math.DS" ], "abstract": "An implementation of the ideal frame formulation of perturbed Keplerian motion is presented which only requires the integration of a differential system of dimension 7, contrary to the 8 variables traditionally integrated with this approach. The new formulation is based on the integration of a scaled version of the Eulerian set of redundant parameters, and slightly improves runtime performance with respect to the 8 dimensional case while retaining comparable accuracy.", "revisions": [ { "version": "v1", "updated": "2016-12-26T11:37:19.000Z" } ], "analyses": { "keywords": [ "ideal frame formulation", "dimensional case", "integration", "differential system", "perturbed keplerian motion" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }