{ "id": "2110.02684", "version": "v1", "published": "2021-10-06T12:14:39.000Z", "updated": "2021-10-06T12:14:39.000Z", "title": "On a Generalized Mass-Velocity Relation for Disk Galaxies and Galaxy Clusters", "authors": [ "Jeffrey M. La Fortune" ], "comment": "Comments welcome", "categories": [ "astro-ph.GA" ], "abstract": "We consolidate the BFJ and BTF (MVD) relations into a generalized Scaling Mass Velocity Relation applicable to both pressure-supported galaxy clusters and rotation-supported galaxies. Unlike MOND inspired relations containing a characteristic acceleration scale and its normalization factor, our proposal is dependent on observed dynamic surface mass densities and discrepancies. We perform the same analysis for a sample of HIFLUGCS galaxy clusters (Tian et al, 2021) found in prior work with SPARC galaxies (arXiv: 2101.01537). For this galaxy cluster sample, we find little evidence for a universal acceleration constant as previously recognized for galaxies. We finish with an examination of the virial energies for the combined sample recovering a mass-energy relation consistent with the phenomenology.", "revisions": [ { "version": "v1", "updated": "2021-10-06T12:14:39.000Z" } ], "analyses": { "keywords": [ "galaxy cluster", "generalized mass-velocity relation", "disk galaxies", "scaling mass velocity relation", "mass velocity relation applicable" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }