# The Galactic disc phase spirals at different Galactic positions revealed by Gaia and LAMOST data

## TL;DR

This study maps and analyzes the phase spirals in stellar velocity distributions across the Milky Way disc using Gaia and LAMOST data, revealing their dependence on position and suggesting an external perturbation origin.

## Contribution

It provides the first detailed mapping of phase spirals in the Galactic disc across multiple positions, highlighting their variation and supporting an external perturbation hypothesis.

## Key findings

- Phase spirals vary strongly with Galactic position.
- Spirals are most prominent near the Galactic center.
- External perturbation, likely Sagittarius dwarf galaxy, caused the spirals.

## Abstract

We have investigated the distributions of stellar azimuthal and radial velocity components $V_{\Phi}$ and $V_{R}$ in the vertical position-velocity plane $Z$-$V_{Z}$ across the Galactic disc of $6.34 \lesssim R \lesssim 12.34$\,kpc and $|\Phi| \lesssim 7.5^{\circ}$ using a Gaia and Gaia-LAMOST sample of stars. As found in previous works, the distributions exhibit significant spiral patterns. The $V_{R}$ distributions also show clear quadrupole patterns, which are the consequence of the well-known tilt of the velocity ellipsoid. The observed spiral and quadrupole patterns in the phase space plane vary strongly with radial and azimuthal positions. The phase spirals of $V_{\Phi}$ become more and more relaxed as $R$ increases. The spiral patterns of $V_{\Phi}$ and $V_{R}$ and the quadrupole patterns of $V_{R}$ are strongest at $-2^{\circ} < \Phi < 2^{\circ}$ but negligible at $4^{\circ} < \Phi < 6^{\circ}$ and $-6^{\circ} < \Phi < -4^{\circ}$. Our results suggest an external origin of the phase spirals. In this scenario, the intruder, most likely the previously well-known Sagittarius dwarf galaxy, passed through the Galactic plane in the direction towards either Galactic center or anti-center. The azimuthal variations of the phase spirals also help us constrain the passage duration of the intruder. A detailed model is required to reproduce the observed radial and azimuthal variations of the phase spirals of $V_{\Phi}$ and $V_{R}$.