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The Hyades Kinematical Structure with Gaia Era


Affiliations
1 Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG) 11421, Helwan, Cairo
2 Mathematics Department, Faculty of Science, Tabuk University

In this work, we have improved the Hyades members with crossmatch between Hipparcos and the recent Gaia EDR3 source, the obtained members with highly probable are about 186 candidates. Considering the classical convergent point and depending on proper motions and radial velocities, we have computed the apex position (Acp,Dcp )=(93o.36±0o.046,7o.43±0o.713) which is in line with others. The internal structural parameters of the Hyades open cluster are demonstrated here with space spatial velocities; i.e., (V ̅_X,V ̅_Y,V ̅_Z; km s-1 )=(-5.97±0.41, 45.54±6.75, 5.52±0.43) and (U ̅,V ̅,W ̅; km s-1 )= (-42.11±6.50, -19.09±4.37, -1.32±0.44) and on basis of matrix elements (μ_ij ), the Velocity Ellipsoid Parameters were achieved, e.g., (λ_1,λ_1,λ_1; km s-1 )=(2137.36 ± 23.12,6.06 ± 0.41,2.53 ± 0.63) and (σ_1,σ_1,σ_1; km s-1 )=(46.23 ± 6.80,2.47 ± 0.64,1.59 ± 0.80). For the observational quantities, we have deduced a correlation coefficient of about ≈0.83 for the kinematical property of proper motions on both sides (μ_α cos⁡δ,μ_δ; mas yr-1 ) and the physical property with the angular distances (λ) from the vertex, and those prove that the attributes are completely related linearly.
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  • The Hyades Kinematical Structure with Gaia Era

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Authors

Waleed Elsanhoury
Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG) 11421, Helwan, Cairo
Amnah Al-Johani
Mathematics Department, Faculty of Science, Tabuk University
Aneefah Al-anzi
Mathematics Department, Faculty of Science, Tabuk University
Bashayr Al-jaber
Mathematics Department, Faculty of Science, Tabuk University
Fatmah Al-Bishi
Mathematics Department, Faculty of Science, Tabuk University
Nourah Kanaan
Mathematics Department, Faculty of Science, Tabuk University
Ragwa Al-atwi
Mathematics Department, Faculty of Science, Tabuk University
Reem Al-khubrani
Mathematics Department, Faculty of Science, Tabuk University
Sarah Al-anzi
Mathematics Department, Faculty of Science, Tabuk University

Abstract


In this work, we have improved the Hyades members with crossmatch between Hipparcos and the recent Gaia EDR3 source, the obtained members with highly probable are about 186 candidates. Considering the classical convergent point and depending on proper motions and radial velocities, we have computed the apex position (Acp,Dcp )=(93o.36±0o.046,7o.43±0o.713) which is in line with others. The internal structural parameters of the Hyades open cluster are demonstrated here with space spatial velocities; i.e., (V ̅_X,V ̅_Y,V ̅_Z; km s-1 )=(-5.97±0.41, 45.54±6.75, 5.52±0.43) and (U ̅,V ̅,W ̅; km s-1 )= (-42.11±6.50, -19.09±4.37, -1.32±0.44) and on basis of matrix elements (μ_ij ), the Velocity Ellipsoid Parameters were achieved, e.g., (λ_1,λ_1,λ_1; km s-1 )=(2137.36 ± 23.12,6.06 ± 0.41,2.53 ± 0.63) and (σ_1,σ_1,σ_1; km s-1 )=(46.23 ± 6.80,2.47 ± 0.64,1.59 ± 0.80). For the observational quantities, we have deduced a correlation coefficient of about ≈0.83 for the kinematical property of proper motions on both sides (μ_α cos⁡δ,μ_δ; mas yr-1 ) and the physical property with the angular distances (λ) from the vertex, and those prove that the attributes are completely related linearly.