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We present a new method to simultaneously/self-consistently model the massdistribution of galaxy clusters that combines constraints from strong lensingfeatures, X-ray emission and galaxy kinematics measurements. We are able tosuccessfully decompose clusters into their collisionless and collisional masscomponents thanks to the X-ray surface brightness, as well as using thedynamics of cluster members to obtain more accurate masses with the fundamentalplane of elliptical galaxies. Knowledge from all observables is includedthrough a consistent Bayesian approach in the likelihood or in physicallymotivated priors. We apply this method to the galaxy cluster Abell S1063 andproduce a mass model that we publicly release with this paper. The resultingmass distribution presents a different ellipticities for the intra-cluster gasand the other large-scale mass components; and deviation from ellipticalsymmetry in the main halo. We assess the ability of our method to recover themasses of the different elements of the cluster using a mock cluster based on asimplified version of our Abell S1063 model. Thanks to the wealth ofinformation provided by the mass model and the X-ray emission, we also foundevidence for an on-going merger event with gas sloshing from a smallerinfalling structure into the main cluster. In agreement with previous findings,the total mass, gas profile and gas mass fraction are consistent with smalldeviations from the hydrostatic equilibrium. This new mass model for AbellS1063 is publicly available as is the software used to construct it through the\textsc{Lenstool} package.

A new step forward in realistic cluster lens mass modelling: Analysis of  Hubble Frontier Field Cluster Abell S1063 from joint lensing, X-ray and  galaxy kinematics data