Uncovering the intrinsic shapes of elliptical galaxies. 2: Approximate kinematic shape indicators

Mathematics – Probability

Scientific paper

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Astronomical Models, Elliptical Galaxies, Galactic Structure, Kinematics, Angular Momentum, Boundary Conditions, Fourier Series, Power Spectra, Probability Distribution Functions, Velocity Measurement

Scientific paper

This is the second in a series of three papaers that presents a new method for constraining the intrinsic shapes of elliptical galaxies through their apparent shapes and kinematics. Paper 1 developed a set of dynamical models; Paper 3 discusses a Monte Carlo fitting procedure for applying the models to real galaxies. This second paper presents an approximate graphical method for estimating a galaxy's intrinsic axis ratios. It uses the apparent ellipticity and a set of dimensionless combinations of the velocities measured on the major and minor axes and at the +/- 45 deg intermediate position angles. We present an atlas of 'channel maps' of the parameter space, from which one may estimate the intrinsic shape of any galaxy with the necessary data. While not nearly as reliable as the rigorous methods of Paper 3, the graphical method is presented for easier applicability and intuitive guidance.

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