{ "id": "2008.00099", "version": "v1", "published": "2020-07-31T22:07:17.000Z", "updated": "2020-07-31T22:07:17.000Z", "title": "Fractal Gravitation", "authors": [ "T Canavesi" ], "journal": "Bolet\\'in de la Asociaci\\'on Argentina de Astronom\\'ia (2020) 136-138;", "categories": [ "astro-ph.GA" ], "abstract": "Considering the GAIA data for {$\\approx 10^6$} stars around the {barycenter,} we estimate the fractal dimension for different regions in the Milky Way. Then we use those fractal dimensions to calculate the gravitational potential considering the medium as a continuous fractal. Finally, {we use the gravitational potential to infer} the circular velocity {and adjust} rotation curves in the Milky Way. {For this,} we use two numerical models, the first considering uniform density and a second more realistic of a bulge and a disk. In none of these models we consider dark matter. We study their validity comparing them with circular speed data from the Milky Way.", "revisions": [ { "version": "v1", "updated": "2020-07-31T22:07:17.000Z" } ], "analyses": { "keywords": [ "fractal gravitation", "milky way", "fractal dimension", "gravitational potential", "first considering uniform density" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }