English

Fractal Gravitation

Astrophysics of Galaxies 2020-08-04 v1

Abstract

Considering the GAIA data for {106\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.

Keywords

Cite

@article{arxiv.2008.00099,
  title  = {Fractal Gravitation},
  author = {T Canavesi},
  journal= {arXiv preprint arXiv:2008.00099},
  year   = {2020}
}
R2 v1 2026-06-23T17:34:01.264Z