Warp, Waves, and Wrinkles in the Milky Way
Ralph Sch\"onrich, Walter Dehnen

TL;DR
This paper uses Gaia-TGAS data to analyze the Milky Way's warp and wave-like vertical motions, revealing a known warp, a new wave pattern, and possible interactions with dwarf galaxy debris.
Contribution
It provides the first detection of a wave-like pattern in vertical motions across the Galactic disc, linked to warp dynamics and external perturbations.
Findings
Detected a linear increase of vertical motion with $V_\phi$ and $L_z$.
Identified a new wave-like pattern in vertical velocities with 2.5 kpc wavelength.
Observed a stream-like feature near $R_g\sim9$ kpc.
Abstract
We derive unbiased distance estimates for the Gaia-TGAS dataset by correcting for the bias due to the distance dependence of the selection function, which we measure directly from the data. From these distances and proper motions, we estimate the vertical and azimuthal velocities, and , and angular momentum for stars in the Galactic centre and anti-centre directions. The resulting mean vertical motion shows a linear increase with both and at significance. Such a trend is expected from and consistent with the known Galactic warp. This signal extends to stars with guiding centre radii , placing the onset of the warp at . At equally high significance, we detect a previously unknown wave-like pattern of over guiding centre with amplitude and wavelength…
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