%0 Generic %1 varieschi2020newtonian %A Varieschi, Gabriele U. %D 2020 %K NFG mogra observation %T Newtonian Fractional Gravity and Disk Galaxies %U http://arxiv.org/abs/2008.04737 %X This paper continues previous work on a possible alternative model of gravity, based on fractional calculus applied to Newton's law of gravitation. In particular, our Newtonian Fractional Gravity (NFG) is now applied to axially-symmetric stellar structures, such as thin/thick disk galaxies described by exponential, Kuzmin, or other similar mass distributions. As in the case of spherically-symmetric structures, which was studied in previous work on the subject, we examine a possible connection between NFG and Modified Newtonian Dynamics (MOND), a leading alternative gravity model, which accounts for the observed properties of galaxies and other astrophysical structures without requiring the dark matter (DM) hypothesis. By relating the MOND acceleration constant $a_0 1.2 10^ -10mþinspace s^ -2$ to a natural scale length $l_0$ in NFG, namely $a_0 \approx GM/l_0^2$ for a galaxy of mass $M$, and by using the empirical Radial Acceleration Relation (RAR), we are able to explain the connection between the observed radial acceleration $g_obs$ and the baryonic radial acceleration $g_bar$ in terms of a variable local dimension $D$. As an example of this methodology, we provide a detailed rotation curve fitting for the case of the field dwarf spiral galaxy NGC 6503.

@misc{varieschi2020newtonian, abstract = {This paper continues previous work on a possible alternative model of gravity, based on fractional calculus applied to Newton's law of gravitation. In particular, our Newtonian Fractional Gravity (NFG) is now applied to axially-symmetric stellar structures, such as thin/thick disk galaxies described by exponential, Kuzmin, or other similar mass distributions. As in the case of spherically-symmetric structures, which was studied in previous work on the subject, we examine a possible connection between NFG and Modified Newtonian Dynamics (MOND), a leading alternative gravity model, which accounts for the observed properties of galaxies and other astrophysical structures without requiring the dark matter (DM) hypothesis. By relating the MOND acceleration constant $a_{0} \simeq 1.2 \times 10^{ -10}\mbox{m}\thinspace \mbox{s}^{ -2}$ to a natural scale length $l_{0}$ in NFG, namely $a_{0} \approx GM/l_{0}^{2}$ for a galaxy of mass $M$, and by using the empirical Radial Acceleration Relation (RAR), we are able to explain the connection between the observed radial acceleration $g_{obs}$ and the baryonic radial acceleration $g_{bar}$ in terms of a variable local dimension $D$. As an example of this methodology, we provide a detailed rotation curve fitting for the case of the field dwarf spiral galaxy NGC 6503.}, added-at = {2020-08-12T04:58:01.000+0200}, author = {Varieschi, Gabriele U.}, biburl = {https://www.bibsonomy.org/bibtex/27728bc3c461b0d7334287b5df8f640eb/kota_n}, description = {Newtonian Fractional Gravity and Disk Galaxies}, interhash = {2d52006a24bd999b9bd3afd3ad6d9c26}, intrahash = {7728bc3c461b0d7334287b5df8f640eb}, keywords = {NFG mogra observation}, note = {cite arxiv:2008.04737Comment: 22 pages, including 6 figures. arXiv admin note: text overlap with arXiv:2003.05784}, timestamp = {2020-08-12T04:58:01.000+0200}, title = {Newtonian Fractional Gravity and Disk Galaxies}, url = {http://arxiv.org/abs/2008.04737}, year = 2020 }