We reconstruct the radial profile of the projected gravitational potential of the galaxy cluster MACS J1206 from 592 spectroscopic measurements of velocities of cluster members .
For doing so , we use a method we have developed recently based on the Richardson-Lucy deprojection algorithm and an inversion of the spherically-symmetric Jeans equation .
We find that , within the uncertainties , our reconstruction agrees very well with a potential reconstruction from weak and strong gravitational lensing as well as with a potential obtained from X-ray measurements .
In addition , our reconstruction is in good agreement with several common analytic profiles of the lensing potential .
Varying the anisotropy parameter in the Jeans equation , we find that isotropy parameters which are either small , \beta \lesssim 0.2 , or decrease with radius yield potential profiles which strongly disagree with that obtained from gravitational lensing .
We achieve the best agreement between our potential profile and the profile from gravitational lensing if the anisotropy parameter rises quite steeply to \beta \approx 0.6 within \approx 0.5 \mathrm { Mpc } and stays constant further out .