St\"ackel-type dynamic model of the Galaxy based on maser kinematic data

TL;DR

This paper develops a three-dimensional Stäckel-type dynamic model of the Galaxy using maser kinematic data, providing a new approach to understanding Galactic potential and density distribution.

Contribution

It introduces a novel Galactic model based on maser data, assuming a third quadratic integral of motion, and generalizes the potential to three dimensions.

Findings

Constructed a Galactic potential model from maser data

Derived the space density function from the potential

Provided a new framework for Galactic dynamics modeling

Abstract

A dynamic model of the Galaxy is constructed based on kinematic data for masers with trigonometric parallaxes. Maser data is used to compute the model potential in the Galactic plane. The potential is then generalized to three dimensions assuming the existence of a third quadratic integral of motion. The resulting Galactic model potential is of St\"ackel's type. The corresponding space density function is determined from Poisson's equation.