Fractal Gravitation

T Canavesi

Published 2020-07-31Version 1

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.