Title: Hydroxyl infrared emission modelling from space observations of the Earth\ Abstract: During the Rosetta mission flyby with the Earth in November 2009, hydroxyl nightglow emissions were observed with the Visible and Infrared Thermal Imaging Spectrometer (VIRTIS) on board the Rosetta mission. Data are analyzed to investigate the relative population of the ν=1 to 9 OH vibrational levels. These observations are unique because the instrument could simultaneously acquire an image at each wavelength in the range 1-5.1 μm. This allows one to simultaneously study the emissions of the OH (Δν=1,2) sequences, while observing the same region of the planet. In addition, observations from space allow overcoming the difficulties associated with corrections for atmospheric absorption. We obtained a mean spectrum of the nightside of the Earth covering the altitude range 85-95 km. Following correction for background, we compared the observations with a synthetic spectra model, based on the PGOPHER code. This allowed us to infer the relative population from levels from 1 to 9. In particular, the relative population of level 1 has been determined for the first time. Our results are in general satisfactory agreement with previous observations and models developed for mid-latitudes conditions. They favor models where sudden death deactivation by atomic oxygen is a major process controlling the vibrational population.