51 research outputs found
Constraining the vertical structure of the Milky Way rotation by microlensing in a finite-width global disk model
In this paper we model the vertical structure of mass distribution of the
Milky Way galaxy in the framework of a finite-width global disk model. Assuming
the Galactic rotation curve only, we test inside the solar orbit the
predictions of the model for two measurable and unrelated to each other
processes: the gravitational microlensing that allows to fix the disk
width-scale by the best fit to measurements, and the vertical gradient of
rotation modelled in the quasi-circular orbits approximation. The former is
sensitive to the gravitating mass in compact objects and the latter is
sensitive to all kinds of gravitating matter. The analysis points to a small
width-scale of the considered disks and, at most, insignificant contribution of
non-baryonic dark mater in the solar circle. The predicted high vertical
gradient values in the rotation are consistent with the gradient measurements.Comment: 10 pages, 10 figure
Velocity-density twin transforms in thin disk model
Ring mass density and the corresponding circular velocity in thin disk model
are known to be integral transforms of one another. But it may be less familiar
that the transforms can be reduced to one-fold integrals with identical weight
functions. It may be of practical value that the integral for the surface
density does not involve the velocity derivative, unlike the equivalent and
widely known Toomre's formula.Comment: 3 pages; 1 figure (a separate file); v2: added a derivation of w(x)
from an infinitely flattened spheroid; v3 improvement/correction of the
derivation in v2 + minor corr. in the tex
- …