This work presents a study of methods useful for modeling and
understanding dynamical systems in the Galaxy. A natural coordinate
system for the study of dynamical systems is the angle-action
coordinate system. New methods
for the approximation of the action-angle
variables in general potentials are presented and
discussed. These new tools are applied to the construction of
dynamical models for two of the Galaxy’s components: tidal
streams and the Galactic disc. Tidal streams are remnants of
tidally stripped satellites in the Milky
Way that experience the
effects of the large scale structure of the
Galactic gravitational potential, while the Galactic disc provides
insights into the nature of the Galaxy near the Sun. Appropriate
action-based models are presented and discussed for these
components, and extended to include further information such as the
metallicity of stars.
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