Binary star detection in the Open Cluster King 1 field
Parvej Reja Saleh (1), Debasish Hazarika (1), Ajaz Ahmad Dar (2),, Padmakar Singh Parihar (3), Eeshankur Saikia (1) ((1) Department of, Applied Sciences - Gauhati University - Guwahati - India, (2) Department of, Physics - University of Kashmir - Srinagar - India

TL;DR
This study identifies two new binary star systems in the open cluster King 1 using photometric observations, periodogram analysis, and binary modeling, revealing their types and properties.
Contribution
It reports the first identification and detailed modeling of two binary systems in King 1, including a newly discovered Eclipsing Detached and a W-type W UMa binary.
Findings
Two binary systems detected, one Eclipsing Detached and one W-type W UMa.
First detailed modeling of these binaries in King 1.
Binary systems are background objects with respect to the cluster.
Abstract
A rarely studied open cluster, King 1 is observed using the 1.3m telescope equipped with 2k x 4k CCD at the Vainu Bappu Observatory, India. We analyse the photometric data obtained from the CCD observations in both B and V bands. Out of 132 detected stars in the open cluster King 1 field, we have identified 4 stellar variables and 2 among them are reported as newly detected binary systems, in this paper. The parallax values from GAIA DR2 suggest that the open cluster King 1 is at the background of these two detected binary systems, falling along the same line of sight, giving rise to different parallax values. The periodogram analysis was carried out using Phase Dispersion Minimization (PDM) and Lomb Scargle (LS) method for all the detected variables. PHOEBE (PHysics Of Eclipsing BinariEs) is extensively used to model various stellar parameters of both the detected binary systems. Based…
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