Potential-density pairs and vertical tilt of the stellar velocity ellipsoid

Abstract

We define new potential-density pairs and examine the impact of the potential flattening on the vertical velocity ellipsoid tilt, $\delta$. By means of numerical integrations and analytical calculations, we estimate $\delta$ in a variety of galactic potentials. We show that at 1 kpc above the Galactic plane at the solar radius, $\delta$ can differ by 5 degrees, depending on whether the dark matter halo is flat or spherical. This result excludes the possibility of an extremely flattened Galactic dark halo.

accepted Astron. Astroph

References in corpus (6)

• The Radial Velocity Experiment (RAVE): Fifth Data Release
• The Radial Velocity Experiment (RAVE): second data release
• Vertical distribution of Galactic disk stars IV - AMR and AVR from clump giants
• Estimation of the Tilt of the Stellar Velocity Ellipsoid from RAVE and Implications for Mass Models
• Galactic kinematics with modified Newtonian dynamics
• Exact potential-density pairs for flattened dark haloes

Cited by in corpus (8)

• Kinematical and chemical vertical structure of the Galactic thick disk I. Thick disk kinematics
• Galactic kinematics with modified Newtonian dynamics
• No evidence for a dark matter disk within 4 kpc from the Galactic plane
• Quasi integral of motion for axisymmetric potentials
• Thin disk kinematics from RAVE and the solar motion
• Spiral arm kinematics for Milky Way stellar populations
• GalMod: a Galactic synthesis population model
• Approximate integrals of motion