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.
@article{arxiv.2110.02684,
title = {On a Generalized Mass-Velocity Relation for Disk Galaxies and Galaxy Clusters},
author = {Jeffrey M. La Fortune},
journal= {arXiv preprint arXiv:2110.02684},
year = {2021}
}