# Orbital dynamics in realistic galaxy models: NGC 3726, NGC 3877 and NGC 4010

## TL;DR

This study models the orbital dynamics of stars in three spiral galaxies using a generalized Miyamoto-Nagai potential, revealing conditions for regular and chaotic stellar orbits based on angular momentum and energy.

## Contribution

It introduces a generalized potential model tailored to specific galaxies and analyzes their orbital dynamics, highlighting the presence of chaotic stellar orbits.

## Key findings

- Regular orbits for high angular momentum or low energy
- Chaotic orbits for low angular momentum or high energy
- Model enables identification of chaotic bounded stellar orbits

## Abstract

In the present paper, using a generalization of the Miyamoto and Nagai potential we adjusted the observed rotation curves of three specific spiral galaxies to the analytical circular velocities. The observational data have been taken from a 21 cm-line synthesis imaging survey using the Westerbork Synthesis Radio Telescope, for three particular galaxies in the Ursa Major cluster: NGC 3726, NGC 3877 and NGC 4010. Accordingly, the dynamics of the system is analyzed in terms of the Poincar\'e sections method, finding that for larger values of the angular momentum of the test particle or lower values its total energy the dynamics is mainly regular, while on the opposite cases, the dynamics is mainly chaotic. Our toy model opens the possibility to find chaotic bounded orbits for stars in those particular galaxies.