Abstract
We extend the galaxy modelling technique of Binney, Davies & Illingworth to the calculation of the predicted line-of-sight velocity distribution (LOSVD) at each point on the sky. Following Gerhard and van der Marel & Franx we characterize the LOSVD by the coefficients hj in its optimized Gauss-Hermite expansion. We prove some results concerning this expansion and test our technique on pseudo-data. We find that LOSVDs, under the assumption of velocity dispersion isotropy, can be accurately predicted out to two effective radii provided that the galaxy has inclination angle i≳70°.
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Magorrian, J., & Binney, J. (1994). Predicting line-of-sight velocity distributions of elliptical galaxies. Monthly Notices of the Royal Astronomical Society, 271(4), 949–957. https://doi.org/10.1093/mnras/271.4.949
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