Abstract:
We present an investigation of NGC 2158 using Gaia DR2 data. We identified 800 most likely cluster members
with membership probability higher than 90%. The mean proper motions of this object are determined as
(μx = −0.203 ± 0.003, μy = −1.99 ± 0.004) mas yr^−1. The limiting radius, log(age), and distance of the cluster are
obtained as 23.5 arcmin, 9.38 ± 0.04 Gyr, and 4.69 ± 0.22 kpc, respectively. The overall mass function slope
(0.93 ± 0.14) is flatter than the Salpeter value (1.35) within the mass range of 1.17–1.44 Me. This cluster also
shows the mass-segregation effect and our study demonstrates that NGC 2158 is a dynamically relaxed open
cluster. Using the apex diagram (AD), the apex coordinates of the cluster are obtained in different ways and are
examined using the (μU,μT) diagram. The best value of the apex coordinates is determined as A = 87°.24 ± 1°. 60,
D = −36°. 61 ± 5°.30. We also determined the orbit of the cluster and found that NGC 2158 moves almost in the
solar antapex direction. The resulting spatial velocity of NGC 2158 is 51 km s−1. A significant oscillation along the
Z-coordinate up to 529 pc is detected. Various scenarios regarding the origin of this cluster are also discussed.
