Forward modeling of galaxy kinematics in slitless spectroscopy

Slitless spectroscopy has long been considered as a complicated and confused technique. Nonetheless, with the advent of Hubble Space Telescope (HST) instruments characterized by a low sky background level and a high spatial resolution (most notably WFC3), slitless spectroscopy has become an adopted survey tool to study galaxy evolution from space. We investigate its application to single object studies to measure not only redshift and integrated spectral features, but also spatially resolved quantities such as galaxy kinematics. We build a complete forward model to be quantitatively compared to actual slitless observations. This model depends on a simplified thin cold disk galaxy description -- including flux distribution, intrinsic spectrum and kinematic parameters -- and on the instrumental signature. It is used to improve redshifts and constrain basic rotation curve parameters, i.e. plateau velocity $v_{0}$ (in $\rm km.s^{-1}$) and central velocity gradient $w_{0}$ (in $\rm km.s^{-1}.arcsec^{-1}$). The model is tested on selected observations from 3D-HST and GLASS surveys, to estimate redshift and kinematic parameters on several galaxies measured with one or more roll angles. Our forward approach allows to mitigate the self-contamination effect, a primary drawback of slitless spectroscopy, and therefore has the potential to increase precision on redshifts. In a limited sample of well-resolved spiral galaxies from HST surveys, it is possible to significantly constrain galaxy rotation curve parameters. This proof-of-concept work is promising for future large slitless spectroscopic surveys such as EUCLID and WFIRST.