BEGIN:VCALENDAR VERSION:2.0 PRODID:-//CERN//INDICO//EN BEGIN:VEVENT SUMMARY:The stellar halo’s response as a probe of the LMC to MW mass rat io DTSTART;VALUE=DATE-TIME:20230323T082500Z DTEND;VALUE=DATE-TIME:20230323T084000Z DTSTAMP;VALUE=DATE-TIME:20241114T092444Z UID:indico-contribution-187@meetings.aip.de DESCRIPTION:Speakers: Simon Rozier (Observatoire Astronomique de Strasbour g)\nIn the last two decades\, some arguments have accumulated for a more i mportant mass ratio of the Large Magellanic Cloud (LMC) to the Milky Way ( MW) than was previously thought\, of about 10% or more. This implies that the LMC has a measurable influence on the dynamics in the MW stellar halo\ , including both stellar densities and kinematics\, as observed by Conroy *et al.* (2021) and Petersen *et al.* (2021). While this merger has been p reviously reproduced using N-body simulations (see\, e.g.\, Garavito-Camar go *et al.*\, 2019)\, I will present the results of a recent study (Rozier *et al.*\, 2022) which aimed at modelling the merger via linear response theory. More specifically\, we integrated the linearized collisionless Bol tzmann-Poisson system of partial differential equations using a methodolog y known as the matrix method. Our results display the same large scale beh aviour as state-of-the-art simulations\, with a dipolar over/underdense pa ttern related to the reflex motion of the MW\, as well as an overdense wak e trailing behind the LMC. These results represent an efficient way of con straining the LMC to MW mass ratio\, since this ratio is directly proporti onal (given the linear nature of the theory) to the amplitude of the relat ive density variations of the MW stellar halo\, both in physical and in ph ase space. However\, the amplitude of these variations may also depend on some model parameters\, such as the structure of the MW potential (includi ng a possible dark matter component)\, the initial density distribution of the stellar halo\, as well as its initial internal kinematics. I will foc us on the latter source of degeneracy\, showing how the initial velocity a nisotropy of the stellar halo impacts its response to the LMC. Interesting ly enough\, it appears that the physical space density of the (dipolar) re flex motion is insensitive to the stellar halo’s initial velocity anisot ropy\, and can therefore represent an efficient probe of the LMC to MW mas s ratio.\n\nhttps://iaus379.aip.de/event/20/contributions/187/ LOCATION:Haus H\, Telegrafenberg URL:https://iaus379.aip.de/event/20/contributions/187/ END:VEVENT END:VCALENDAR