The Gaia-ESO Survey a kinematical and dynamical study of four young open clusters

Context. The origin and dynamical evolution of star clusters is an important topic in stellar astrophysics. Several models have been proposed in order to understand the formation of bound and unbound clusters and their evolution, and they can be tested by examining the kinematical and dynamical properties of clusters over a wide range of ages and masses. <BR /> Aims We use the Gaia-ESO Survey products to study four open clusters (IC 2602, IC 2391, IC 4665, and NGC 2547) that lie in the age range between 20 and 50 Myr. <BR /> Methods We employ the gravity index gamma and the equivalent width of the lithium line at 6708 together with effective temperature T<SUB>eff</SUB> and the metallicity of the stars in order to discard observed contaminant stars. Then we derive the cluster radial velocity dispersions sigma<SUB>c</SUB>, the total cluster mass M<SUB>tot</SUB>, and the half mass radius r<SUB>hm</SUB>. Using the Gaia-DR1 TGAS catalogue, we independently derive the intrinsic velocity dispersion of the clusters from the astrometric parameters of cluster members. <BR /> Results The intrinsic radial velocity dispersions derived by the spectroscopic data are higher than those derived from the TGAS data, possibly due to the different masses of the considered stars. Using M<SUB>tot</SUB> and r<SUB>hm</SUB> we derive the virial velocity dispersion sigma<SUB>vir</SUB> and we find that three out of four clusters are supervirial. This result is in agreement with the hypothesis that these clusters are dispersing, as predicted by the "residual gas expulsion" scenario. However, recent simulations show that the virial ratio of young star clustersmay be overestimated if it is determined using the global velocity dispersion, since the clusters are not fully relaxed.