{ "id": "1505.07456", "version": "v1", "published": "2015-05-27T20:00:28.000Z", "updated": "2015-05-27T20:00:28.000Z", "title": "The vertical effects of disc non-axisymmetries from perturbation theory: the case of the Galactic bar", "authors": [ "Giacomo Monari", "Benoit Famaey", "Arnaud Siebert" ], "comment": "9 pages, 6 figures, accepted for publication in MNRAS", "categories": [ "astro-ph.GA" ], "abstract": "Evidence for non-zero mean stellar velocities in the direction perpendicular to the Galactic plane has been accumulating from various recent large spectroscopic surveys. Previous analytical and numerical work has shown that a \"breathing mode\" of the Galactic disc, similar to what is observed in the Solar vicinity, can be the natural consequence of a non-axisymmetric internal perturbation of the disc. Here we provide a general analytical framework, in the context of perturbation theory, allowing us to compute the vertical bulk motions generated by a single internal perturber (bar or spiral pattern). In the case of the Galactic bar, we show that these analytically predicted bulk motions are well in line with the outcome of a numerical simulation. The mean vertical motions induced by the Milky Way bar are small (mean velocity of less than 1 km/sec) and cannot be responsible alone for the observed breathing mode, but they are existing. Our analytical treatment is valid close to the plane for all the non-axisymmetric perturbations of the disc that can be described by small-amplitude Fourier modes. Further work should study how the coupling of multiple internal perturbers and external perturbers is affecting the present analytical results.", "revisions": [ { "version": "v1", "updated": "2015-05-27T20:00:28.000Z" } ], "analyses": { "keywords": [ "galactic bar", "perturbation theory", "disc non-axisymmetries", "vertical effects", "non-zero mean stellar velocities" ], "publication": { "doi": "10.1093/mnras/stv1206" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1373574 } } }