We investigate how well the intrinsic shape of early-type galaxies can be
recovered when both photometric and two-dimensional stellar kinematic
observations are available. We simulate these observations with galaxy models
that are representative of observed oblate fast-rotator to triaxial
slow-rotator early-type galaxies. By fitting realistic triaxial dynamical
models to these simulated observations, we recover the intrinsic shape (and
mass-to-light ratio), without making additional (ad-hoc) assumptions on the
orientation.
For (near) axisymmetric galaxies the dynamical modelling can strongly exclude
triaxiality, but the regular kinematics do not further tighten the constraint
on the intrinsic flattening significantly, so that the inclination is nearly
unconstrained above the photometric lower limit even with two-dimensional
stellar kinematics. Triaxial galaxies can have additional complexity in both
the observed photometry and kinematics, such as twists and (central)
kinematically decoupled components, which allows the intrinsic shape to be
accurately recovered. For galaxies that are very round or show no significant
rotation, recovery of the shape is degenerate, unless additional constraints
such as from a thin disk are available.Comment: 12 pages, 7 figures, PDFLaTeX, accepted to MNRAS, minor revision