Fractal Gravitation
Abstract
Considering the GAIA data for ≈ 106 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.
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