# Halo Acceleration Relation

## TL;DR

This paper investigates the halo acceleration relation in spiral galaxies, analyzing observational data and theoretical models including dark matter profiles and MOND to understand the maximum halo acceleration.

## Contribution

It introduces the halo acceleration relation (HAR) as a new way to analyze galaxy dynamics, comparing dark matter profiles and MOND.

## Key findings

- Data reveals a maximum in halo acceleration.
- Different models can fit the observed relations.
- Analysis distinguishes between cusp and core profiles.

## Abstract

Recently, from the new Spitzer Photometry and Accurate Rotation Curves (SPARC) data, McGaugh et al. (2016) reported a tight Radial Acceleration Relation (RAR) between the observed total acceleration and the acceleration produced by baryons in spiral galaxies. The relation can be fitted by different functions. However, these functions can be discerned if we express the data in the form of halo acceleration relation (HAR). The data reveals a maximum in the halo acceleration. We examined NFW (cusp) and Burkert (core) profiles in the context of dark matter and different parameter families of the interpolating function in the framework of Modified Newtonian Dynamics (MOND).