def add_virtual_columns_polar_velocities_to_cartesian(self, x='x', y='y', azimuth=None, vr='vr_polar', vazimuth='vphi_polar', vx_out='vx', vy_out='vy', propagate_uncertainties=False):
        """ Convert cylindrical polar velocities to Cartesian.

        :param x:
        :param y:
        :param azimuth: Optional expression for the azimuth in degrees , may lead to a better performance when given.
        :param vr:
        :param vazimuth:
        :param vx_out:
        :param vy_out:
        :param propagate_uncertainties: {propagate_uncertainties}
        """
        x = self._expr(x)
        y = self._expr(y)
        vr = self._expr(vr)
        vazimuth = self._expr(vazimuth)
        if azimuth is not None:
            azimuth = self._expr(azimuth)
            azimuth = np.deg2rad(azimuth)
        else:
            azimuth = np.arctan2(y, x)
        azimuth = self._expr(azimuth)
        self[vx_out] = vr * np.cos(azimuth) - vazimuth * np.sin(azimuth)
        self[vy_out] = vr * np.sin(azimuth) + vazimuth * np.cos(azimuth)
        if propagate_uncertainties:
            self.propagate_uncertainties([self[vx_out], self[vy_out]])