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 (μ x = −0.203 ± 0.003, μ y = −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 M ⊙. 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 (μ U ,μ T ) diagram. The best value of the apex coordinates is determined as A = 8724 ± 160, D = −3661 ± 530. 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.
From the study of the modi cation of PE and PP with maleic anhydride, maleic acid and an acid salt of maleic acid (sodium maleate) in a liquid or solid state, it was shown that the main controlling factor in the solid state modi cation of polyole ns is the joint plastic deformation of the system components. The changes of molecular characteristics were investigated by gel permeation chromatography. It was shown, that the molecular weight of modi ed PP samples increases at times by linking with intermolecular associates in the solutions. The formation of associates plays essential role in the behaviour of solutions of modi ed PP. The morphology of modi ed PP samples was investigated by scanning electron microscopy. It was shown, that intermolecular association strongly in®uences on the processes of formation and growth of nucleus and the structure of generated polymeric materials.
This paper presents an investigation of an old age open cluster King 11 using Gaia’s Early Data Release 3 data. Considering the stars with membership probability (P μ ) > 90%, we identified 676 most probable cluster members within the cluster’s limiting radius. The mean proper motion for King 11 is determined as: μ x = − 3.391 ± 0.006 and μ y = − 0.660 ± 0.004 mas yr−1. The blue straggler stars of King 11 show a centrally concentrated radial distribution. The values of limiting radius, age, and distance are determined as 18.′51, 3.63 ± 0.42 Gyr, and 3.33 ± 0.15 kpc, respectively. The cluster’s apex coordinates (A = 267.°84 ± 1.°01, D = − 27.°48 ± 1.°03) are determined using the apex diagram method and verified using the (μ U , μ T ) diagram. We also obtained the orbit that the cluster follows in the Galaxy and estimated its tentative birthplace in the disk. The resulting spatial velocity of King 11 is 60.2 ± 2.16 km s−1. A significant oscillation along the Z coordinate up to 0.556 ± 0.022 kpc is determined.
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