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Fig. 10.

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Distributions of the recovered inclination angles and the velocity dispersions using axisymmetric JAM, with (denoted by “recovered from P(i|e)”) and without intrinsic shape prior (denoted by “recovered from isotropic”). The upper and lower rows show the results for the oblate and the prolate sample, respectively. The inclination angle recovered with the intrinsic shape prior has a similar distribution as the inclination angle from the mock data which are sampled isotropically on a sphere, while the inclination angle recovered without the intrinsic shape prior are overall larger than the mock data. However, the deviation in the recovered inclination angle does not affect the recovered velocity distribution. For both the oblate and the prolate sample, the relative error in the mean of the recovered velocity dispersion is less than 0.24%. This result shows that for a ETG population with the intrinsic shape distribution similar to the one in Li et al. (2018), the axisymmetric JAM kinematics recovery can be accurate even without the intrinsic shape prior.

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