Approximate third integrals in axisymmetric galaxies and the tilt of the velocity ellipsoid in the solar neighborhood

Statistics – Computation

Scientific paper

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Computational Astrophysics, Milky Way Galaxy, Solar Neighborhood, Stellar Motions, Ellipsoids, Integrals, Orbit Calculation, Velocity Distribution

Scientific paper

Three different methods for calculating approximate third integrals of the motion for orbits in axisymmetric potentials are presented. All three methods are based on approximating the orbits by motion in a separable potential. The results are applied to the Carlberg-Innanen potential for the Galaxy and allow a determination of the tilt of the velocity ellipsoid in the solar neighborhood.

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