Euclid: Early Release Observations -- A combined strong and weak lensing solution for Abell 2390 beyond its virial radius

Euclid/ is currently mapping the distribution of matter in the Universe in detail via the weak lensing signature of billions of distant galaxies. The weak lensing signal is most prominent around galaxy clusters and can extend up to distances well beyond their virial radius, thus constraining their total mass. Near the centre of clusters, where contamination by member galaxies is an issue, the weak lensing data can be complemented with strong lensing data. Strong lensing information can also diminish the uncertainty due to the mass-sheet degeneracy and provide high-resolution information about the distribution of matter in the centre of clusters. Here we present a joint strong and weak lensing analysis of the Euclid Early Release Observations of the cluster Abell 2390 at z=0.228. Thanks to Euclid's wide field of view of 0.5, ^2, combined with its angular resolution in the visible band of = (1.48 ± 0.29) , =(2.05 ), with error bars representing one standard deviation. The profile is well described by a Navarro-Frenk-White model with a concentration c=6.5 and a small-scale radius of 230 kpc in the 30,kpc $< r <$ 2000,kpc range that is best constrained by strong lensing and weak lensing data. Abell 2390 is the first of many examples where Euclid data will play a crucial role in providing masses for clusters. The large coverage provided by Euclid, combined with the depth of the observations and high angular resolution, will allow us to produce similar results in hundreds of other clusters with rich strong lensing data that is already available. deg and sampling of per pixel, we constrained the density profile in a wide range of radii, 30,kpc $< r <$ 2000,kpc, from the inner region near the brightest cluster galaxy to beyond the virial radius of the cluster. We find relatively good consistency with earlier X-ray results based on assumptions of hydrostatic equilibrium and thus indirectly confirm the nearly relaxed state of this cluster. We also find consistency with previous results based on weak lensing data and ground-based observations of this cluster. From the combined strong+weak lensing profile, we derive the values of the viral mass M_ 200 15 and virial radius r_ 200 , ̊m Mpc