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We present kinematic orientations and high resolution (150 pc) rotationcurves for 67 main sequence star-forming galaxies surveyed in CO (2-1) emissionby PHANGS-ALMA. Our measurements are based on the application of a new fittingmethod tailored to CO velocity fields. Our approach identifies an optimalglobal orientation as a way to reduce the impact of non-axisymmetric (bar andspiral) features and the uneven spatial sampling characteristic of CO emissionin the inner regions of nearby galaxies. The method performs especially wellwhen applied to the large number of independent lines-of-sight contained in thePHANGS CO velocity fields mapped at 1'' resolution. The high resolutionrotation curves fitted to these data are sensitive probes of mass distributionin the inner regions of these galaxies. We use the inner slope as well as theamplitude of our fitted rotation curves to demonstrate that CO is a reliableglobal dynamical mass tracer. From the consistency between photometricorientations from the literature and kinematic orientations determined with ourmethod, we infer that the shapes of stellar disks in the mass range of log($\rmM_{\star}(M_{\odot})$)=9.0-10.9 probed by our sample are very close to circularand have uniform thickness.

PHANGS CO kinematics: disk orientations and rotation curves at 150 pc resolution