Triaxial Analytical Potential-Density Pairs for Galaxies

TL;DR

This paper introduces two new triaxial analytical models for galaxy potential-density pairs, generalizing existing axisymmetric models, which are useful for studying galaxies with box-shaped bulges and include orbit calculations.

Contribution

The paper develops generalized triaxial potential-density pairs extending Miyamoto and Nagai models, suitable for galaxies with box-shaped bulges, ensuring non-negative densities and no singularities.

Findings

Potential-density pairs are non-negative everywhere.

Models are free from singularities.

Orbit calculations demonstrate model applicability.

Abstract

We present two triaxial analytical potential-density pairs that can be viewed as generalized versions of the axisymmetric Miyamoto and Nagai and Satoh galactic models. These potential-density pairs may be useful models for galaxies with box-shaped bulges. The resulting mass density distributions are everywhere non-negative and free from singularities. Also, a few numerically calculated orbits for the Miyamoto and Nagai-like triaxial potential are presented.