# Revisiting the Tale of Hercules: how stars orbiting the Lagrange points visit the Sun

## TL;DR

This paper introduces a new dynamical model of the Milky Way that explains the Hercules stream as stars orbiting the bar's Lagrange points, matching Gaia and other survey data.

## Contribution

It presents a novel dynamical explanation for the Hercules stream, linking it to stars orbiting the bar's Lagrange points, supported by a tailored Milky Way model.

## Key findings

- The model predicts a bimodal velocity distribution matching the Hercules stream.
- Hercules is more prominent inward from the Sun and nearly absent outward.
- The model explains Hercules' prominence in old, metal-rich stars.

## Abstract

We propose a novel explanation for the Hercules stream consistent with recent measurements of the extent and pattern speed of the Galactic bar. We have adapted a made-to-measure dynamical model tailored for the Milky Way to investigate the kinematics of the solar neighborhood (SNd). The model matches the 3D density of the red clump giant stars (RCGs) in the bulge and bar as well as stellar kinematics in the inner Galaxy, with a pattern speed of 39 km s$^{-1}$ kpc$^{-1}$. Cross-matching this model with the $Gaia$ DR1 TGAS data combined with RAVE and LAMOST radial velocities, we find that the model naturally predicts a bimodality in the $U\!-\!V$-velocity distribution for nearby stars which is in good agreement with the Hercules stream. In the model, the Hercules stream is made of stars orbiting the Lagrange points of the bar which move outward from the bar's corotation radius to visit the SNd. While the model is not yet a quantitative fit of the velocity distribution, the new picture naturally predicts that the Hercules stream is more prominent inward from the Sun and nearly absent only a few $100$ pc outward of the Sun, and plausibly explains that Hercules is prominent in old and metal-rich stars.