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Revisiting Some Pismis Open Clusters Using Gaia Environmental Technology


Affiliations
1 Mathematics Department, Faculty of Science, Tabuk 47512, Saudi Arabia

In this study, we considered the collective members of Pismis’s clusters located at identical distances r(pc) and distributed around a mean absolute magnitude (Mo) following a Gaussian distribution with dispersion . We computed the distances rc(pc) of these clusters by applying a distance equation designed to account for Malmquist bias. Our computed distances were in satisfactory agreement when compared to previous research findings. In the second part of our work, we delved extensively into the Pismis 3 cluster, which is rarely studied, aged, and among the most affluent. We conducted analyses on its dynamical tidal radius , crossing time , relaxation time , and angular velocity . A kinematic analysis of these open clusters was carried out, encompassing aspects such as their apex position using the AD chart method, velocity ellipsoid parameters (VEPs), and the longitude of the vertex revealing a minimal value, as anticipated when pointing exactly at the Galactic Center. Additionally, we explored their ages in relation to evolution, linking them to formation mechanisms, metallicity, and opacity.

Keywords

Statistical methods, Open clusters and associations, Pismis open clusters, Distance equation, Kinematics and dynamics, Longitude of the vertex (l_2 )
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  • Revisiting Some Pismis Open Clusters Using Gaia Environmental Technology

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Authors

Amjad A Al-Subaie
Mathematics Department, Faculty of Science, Tabuk 47512, Saudi Arabia

Abstract


In this study, we considered the collective members of Pismis’s clusters located at identical distances r(pc) and distributed around a mean absolute magnitude (Mo) following a Gaussian distribution with dispersion . We computed the distances rc(pc) of these clusters by applying a distance equation designed to account for Malmquist bias. Our computed distances were in satisfactory agreement when compared to previous research findings. In the second part of our work, we delved extensively into the Pismis 3 cluster, which is rarely studied, aged, and among the most affluent. We conducted analyses on its dynamical tidal radius , crossing time , relaxation time , and angular velocity . A kinematic analysis of these open clusters was carried out, encompassing aspects such as their apex position using the AD chart method, velocity ellipsoid parameters (VEPs), and the longitude of the vertex revealing a minimal value, as anticipated when pointing exactly at the Galactic Center. Additionally, we explored their ages in relation to evolution, linking them to formation mechanisms, metallicity, and opacity.

Keywords


Statistical methods, Open clusters and associations, Pismis open clusters, Distance equation, Kinematics and dynamics, Longitude of the vertex (l_2 )