A MOND model applied to the rotation curve of galaxies

TL;DR

This paper introduces a modified Newtonian dynamics (MOND) model with an arctangent function to explain galaxy rotation curves without dark matter, constraining the key acceleration parameter from observational data.

Contribution

It presents a new MOND model using an arctangent interpolating function and constrains its parameters based on galaxy rotation curve data.

Findings

The model fits rotation curves of 15 galaxies without dark matter.

The acceleration parameter $a_0$ is constrained to approximately $5 imes 10^{-10}$ m/s$^2$.

The model can be tested in other astrophysical contexts like galaxy clusters and cosmic expansion.

Abstract

In this work, we propose a modified Newton dynamics (MOND) model to study the rotation curves of galaxies. The model is described by an arctangent interpolating function and it fits the rotation curves of several galaxies without invoking the presence of dark matter. We took from the literature the rotation curve data of fifteen spiral galaxies, and used it to constrain the model parameter, $a_0$, as around $5\times 10^{-10}$ m/s$^2$. This parameter is also called the acceleration constant once it gives the acceleration scale where Newton's dynamics fails. The model can be further tested in different astrophysical scenarios, such as, the missing mass problem of galaxy clusters and the accelerated expansion of the Universe, thus leading to a more robust and well constrained model.