Keplerian Ensemble Approximation. The issue of motions of compact objects in Galactic halo

Astronomy and Astrophysics – Astrophysics – Galaxy Astrophysics

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v1: temporary draft, v2: updated -- extended catalogue of halo objects

Scientific paper

The motion of compact objects in Galactic halo is investigated in the approximation of point mass under the assumption that the external halo is not gravitationally dominating and consists of test bodies. Then, the phase space distribution function is that of a spherically symmetric collection of confocal elliptical orbits of various energies and eccentricities, called Keplerian ensemble, and can be determined in a systematic way from the radial velocity dispersion profile of the halo objects. In particular, the anisotropy of the velocity dispersion tensor becomes a function of Galactocentric distance. We find that the observed motion of halo objects can be made consistent with Galaxy mass of $2.1\times10^{11}\msun$

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