Probing the gas density in our Galactic Centre: Moving mesh simulations of G2

The G2 object has recently passed its pericentre passage in our Galactic Centre. While the Br_γ emission shows clear signs of tidal interaction, the change in the observed luminosity is only of about a factor of 2, in contention with all previous predictions. We present high-resolution simulations performed with the moving mesh code, RICH, together with simple analytical arguments that reproduce the observed Br_γ emission. In our model, G2 is a gas cloud that undergoes tidal disruption in a dilute ambient medium. We find that during pericentre passage, the efficient cooling of the cloud results in a vertical collapse, compressing the cloud by a factor of ~5000. By properly taking into account the ionization state of the gas, we find that the cloud is UV starved and are able to reproduce the observed Br_γ luminosity. For densities larger than ≈500 cm^-3 at pericentre, the cloud fragments due to cooling instabilities and the emitted radiation is inconsistent with observations. For lower densities, the cloud survives the pericentre passage intact and its emitted radiation matches the observed light curve. From the duration of Br_γ emission that contains both redshifted and blueshifted components, we show that the cloud is not spherical but rather elongated with a size ratio of 4 at year 2001. The simulated cloud's elongation grows as it travels towards pericentre and is consistent with observations, due to viewing angles. The simulation is also consistent with having a spherical shape at apocentre.