We determined the cluster apex coordinates, studied the substructures and performed membership analysis in the central part (34X33) of the open cluster M 67. We used the individual stellar apexes method developed earlier and classical technique of pr
oper motion diagrams in coordinate system connected with apex. The neighbour-to-neighbour distance technique was applied to detect space details. The membership list was corrected and some stars were excluded from the most probable members list. The apex coordinates have been determined as: A0=132.97deg+/-0.81deg and D0=11.85deg+/-0.90deg. The 2D-space star density field was analysed and high degree of inhomogeneity was found.
Relative proper motions and cluster membership probabilities have been derived for ~ 2500 stars in the field of the open star cluster NGC 3766. The cluster has been observed in $B$ and $V$ broadband filters at two epochs separated by ~ 6 years using
a wide-field imager mounted on the [email protected] telescope. All CCD frames were reduced using the astrometric techniques described in Anderson et al. (2006). The proper motion r.m.s. error for stars brighter than $V$ ~ 15 mag is 2.0 mas/yr but it gradually increases up to ~4 mas/yr at $V$ ~20 mag. Using proper motion data, membership probabilities have been derived for the stars in the region of the cluster. They indicate that three Be and one Ap stars are member of the cluster. The reddening $E(B-V)=0.22pm0.05$ mag, a distance 2.5$pm$0.5 kpc and an age of ~ 20 Myr are derived using stars of $P_{mu}>70%$. Mass function slope $x=1.60pm0.10$ is derived for the cluster and cluster was found to be dynamically relaxed. Finally, we provide positions, calibrated $B$ and $V$ magnitudes, relative proper motions and membership probabilities for the stars in the field of NGC 3766. We have produced a catalog that is electronically available to the astronomical community.
