The kinematics of late type stars in the solar cylinder studied with SDSS data

TL;DR

This study analyzes the velocity distribution of Milky Way disk stars within 800 pc of the Sun using SDSS data, revealing detailed kinematic profiles and the orientation of the velocity ellipsoid.

Contribution

It provides the first detailed vertical profiles of stellar velocity moments and ellipsoid orientation using a large, re-calibrated proper motion dataset from SDSS and USNO-B.

Findings

Vertical velocity <W> is approximately -7 km/s, independent of height.

Velocity dispersion increases linearly with height above the disk.

The velocity ellipsoid shows a significant tilt towards the Galactic plane.

Abstract

We study the velocity distribution of Milky Way disk stars in a kiloparsec-sized region around the Sun, based on ~ 2 million M-type stars from DR7 of SDSS, which have newly re-calibrated absolute proper motions from combining SDSS positions with the USNO-B catalogue. We estimate photometric distances to all stars, accurate to ~ 20 %, and combine them with the proper motions to derive tangential velocities for this kinematically unbiased sample of stars. Based on a statistical de-projection method we then derive the vertical profiles (to heights of Z = 800 pc above the disk plane) for the first and second moments of the three dimensional stellar velocity distribution. We find that <W> = -7 +/- 1 km/s and <U> = -9 +/- 1 km/s, independent of height above the mid-plane, reflecting the Sun's motion with respect to the local standard of rest. In contrast, <V> changes distinctly from -20 +/- 2 km/s in the mid-plane to <V> = -32 km/s at Z = 800 pc, reflecting an asymmetric drift of the stellar mean velocity that increases with height. All three components of the M-star velocity dispersion show a strong linear rise away from the mid-plane, most notably \sigma_{ZZ}, which grows from 18 km/s (Z = 0) to 40 km/s (at Z = 800 pc). We determine the orientation of the velocity ellipsoid, and find a significant vertex deviation of 20 to 25 degrees, which decreases only slightly to heights of Z = 800 pc. Away from the mid-plane, our sample exhibits a remarkably large tilt of the velocity ellipsoid towards the Galactic plane, which reaches 20 deg. at Z = 800 pc and which is not easily explained. Finally, we determine the ratio \sigma^2_{\phi\phi}/\sigma^2_{RR} near the mid-plane, which in the epicyclic approximation implies an almost perfectly flat rotation curve at the Solar radius.