Some orbits in various models of galactic gravitational field

TL;DR

This paper explores various steady-state galactic gravitational models, analyzing orbit trajectories in axisymmetrical and triaxial potentials, and discusses methods for orbit visualization and interpretation.

Contribution

It introduces specific galaxy models with detailed potential laws and structural parameters, and compares orbit visualization techniques for these models.

Findings

Orbit trajectories are computed for different galactic models.

Coordinate plane projections are complex; co-moving planes simplify orbit analysis.

Models demonstrate diverse orbital behaviors based on structural parameters.

Abstract

We consider a gravitational field in steady state galaxy models of two kinds. Some of them are axisymmetrical and others are triaxial. Equipotentials and potential law are given separately in accordance to Kutuzov and Ossipkov (1980). The relatively simple potential law is based on Kuzmin-Malasidze model (1969). Two kinds of models contain four and five structural parameters respectively. One composite model is suggested as well. Some examples of trajectories are calculated in these models. The simplest method to describe orbits is drawing their projections on coordinate planes. However it needs a great amount of calculation and makes troubles in an interpretation of information. In the case of axisymmetrical models a motion in co-moving meridional plane (with cylindrical coordinates R, z) is considered as a common way. In the case of triaxial models one can use three different co-moving planes passing through moving star and corresponding coordinate axis. We describe models in sections 2-4, calculated orbits are discussed in section 5.