# More than just a wrinkle: A wave-like pattern in radial velocity vs. angular momentum from Gaia Data

## TL;DR

This paper identifies a wave-like pattern in Gaia DR2 data showing correlations between radial velocity and angular momentum, revealing potential insights into Galactic dynamics and structure.

## Contribution

The study uncovers a previously unknown wave pattern in stellar velocities and angular momentum, linking it to earlier observed patterns and providing new understanding of Galactic disc behavior.

## Key findings

- Detected a wave pattern with ~1.2 kpc wavelength in R_g
- Observed a phase shift indicating a possible m=4 mode
- Linked the pattern to previously known velocity structures

## Abstract

We present a newly found wave--like pattern in mean Galactocentric radial velocity U_g vs. guiding centre radius R_g or angular momentum L_z of stars in the RV subsample of Gaia DR2. The short-wave pattern has a wavelength of order 1.2 kpc in R_g or 285 kpc km/s in L_z. The pattern shows only weak changes with Galactocentric radius R and little change in strength in particular with the vertical energy E_z of the stars or respectively the distance to the Galactic plane |z|. The pattern is to first order symmetric around the plane, i.e. has no significant odd terms in z. There is weak phase shift with the pattern moving towards slightly lower L_z (i.e. trailing) with |z| and E_z. However, we observe a highly significant phase shift in Galactic azimuth phi, which is different for different peaks. The peak around L_z ~ 2100 kpc km/s only shows a weak change with galactic azimuth, while the rest of the pattern shows a clearly detectable shift of d L_z /d phi = (200 +/- 22) kpc km/s/rad. If we consider all peaks to belong to the same pattern, this would suggest a wavenumber m = 4. We further find that the wave-like pattern in U_g appears to be related to the W vs. L_z pattern detected in Gaia DR1. A comparison of the U_g-L_z wave pattern with changes of U_g vs. R, which have been previously discussed, suggests that the latter can be understood as just the U_g-L_z pattern washed out by blurring (i.e. orbital excursions around their guiding-centre) of disc stars.