The Milky Way Rotation Curve and its Vertical Derivatives Inside the Solar Circle
E.S. Levine, Carl Heiles, and Leo Blitz

TL;DR
This study measures the Milky Way's rotation curve and its vertical derivatives using 21 cm data, revealing a significant vertical falloff in rotation speed near the Galactic midplane, suggesting additional physical processes beyond gravitational potential effects.
Contribution
It provides the first detailed measurement of the Milky Way's vertical derivatives of the rotation curve using 21 cm data, highlighting a larger-than-expected vertical falloff.
Findings
Vertical falloff in rotation curve of -22 +/- 6 km/s/kpc within 100 pc of midplane
Falloff magnitude exceeds expectations from gravitational potential change
Results are consistent with similar measurements in other galaxy halos
Abstract
We measure the Galactic rotation curve and its first two vertical derivatives in the first and fourth quadrants of the Milky Way using the 21 cm VGPS and SGPS. We find tangent velocities of the atomic gas as a function of galactic longitude and latitude by fitting an analytic line profile to the edges of the velocity profiles. The shape of the analytic profile depends only on the tangent velocity and the velocity dispersion of the gas. We use two complementary methods to analyze the tangent velocities: a global model to fit typical parameter values and a local fitting routine to examine spatial variations. We confirm the validity of our fitting routines by testing simple models. Both the global and local fits are consistent with a vertical falloff in the rotation curve of -22 +/- 6 km/s/kpc within 100 pc of the Galactic midplane. The magnitude of the falloff is several times larger than…
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