A Dynamical Stability Study of Triple-Star Systems Using Physical and Geometrical Parameters

The dynamical stability of 141 triple-star systems is investigated. These systems are selected from the updated catalog of multiple stars systems (i.e., the MSC catalog). The distribution of eccentricity for inner and outer orbits is plotted. This diagram shows that the inner orbits are almost circu...

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Main Authors: Reza Pazhouhesh, Hasan Hamedi Nasab, Kazem Yoosefi Roobiat
Format: Article
Language:English
Published: Damghan university 2021-03-01
Series:Iranian Journal of Astronomy and Astrophysics
Subjects:
Online Access:https://ijaa.du.ac.ir/article_241_404f4bfa43e3f447ea0599c804919197.pdf
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author Reza Pazhouhesh
Hasan Hamedi Nasab
Kazem Yoosefi Roobiat
author_facet Reza Pazhouhesh
Hasan Hamedi Nasab
Kazem Yoosefi Roobiat
author_sort Reza Pazhouhesh
collection DOAJ
description The dynamical stability of 141 triple-star systems is investigated. These systems are selected from the updated catalog of multiple stars systems (i.e., the MSC catalog). The distribution of eccentricity for inner and outer orbits is plotted. This diagram shows that the inner orbits are almost circular while the outer ones are oval, indicating higher eccentricity. This confirms that triple-star systems are also hierarchical. The dynamical stability of all systems is investigated using five different criteria. Observational stability parameters and their critical values are calculated using orbital values and the masses of components. In addition, the stability margin against the eccentricity of the outer orbit is plotted. This diagram shows that by increasing the eccentricity of the outer orbit, the distance from the stability limit also increases. Therefore, the higher the eccentricity of the outer orbit is, the more unstable the system becomes. Furthermore, by some investigations, we found that the dependence on the eccentricity of the inner orbit through the factor 1=(1 − ein) stabilizes many systems in some criteria, and this modifies the corresponding criteria. The results of the investigations show that almost all triple-star systems are stable and have a hierarchical structure. Only five systems (with WDS indexes: 18126-7340, 06467+0822, 02022- 2402, 08391-5557, and 00247-2653) are unstable in at least three criteria. The reasons for the instability of these systems are most likely the observational errors or the unreal theoretical criteria. Finally, the introduced five criteria are ordered according to their credibility and precision.
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issn 2322-4924
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publishDate 2021-03-01
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series Iranian Journal of Astronomy and Astrophysics
spelling doaj-art-1cd980bd1cc341929aff08c6b33cd2342025-01-12T10:10:21ZengDamghan universityIranian Journal of Astronomy and Astrophysics2322-49242383-403X2021-03-0181354710.22128/ijaa.2021.510.1111241A Dynamical Stability Study of Triple-Star Systems Using Physical and Geometrical ParametersReza Pazhouhesh0Hasan Hamedi Nasab1Kazem Yoosefi Roobiat2Physics Department, Faculty of Sciences, University of BirjandPhysics Department, Faculty of Sciences, University of BirjandPhysics department, faculty of sciences, university of Birjand, Birjand, Iran.The dynamical stability of 141 triple-star systems is investigated. These systems are selected from the updated catalog of multiple stars systems (i.e., the MSC catalog). The distribution of eccentricity for inner and outer orbits is plotted. This diagram shows that the inner orbits are almost circular while the outer ones are oval, indicating higher eccentricity. This confirms that triple-star systems are also hierarchical. The dynamical stability of all systems is investigated using five different criteria. Observational stability parameters and their critical values are calculated using orbital values and the masses of components. In addition, the stability margin against the eccentricity of the outer orbit is plotted. This diagram shows that by increasing the eccentricity of the outer orbit, the distance from the stability limit also increases. Therefore, the higher the eccentricity of the outer orbit is, the more unstable the system becomes. Furthermore, by some investigations, we found that the dependence on the eccentricity of the inner orbit through the factor 1=(1 − ein) stabilizes many systems in some criteria, and this modifies the corresponding criteria. The results of the investigations show that almost all triple-star systems are stable and have a hierarchical structure. Only five systems (with WDS indexes: 18126-7340, 06467+0822, 02022- 2402, 08391-5557, and 00247-2653) are unstable in at least three criteria. The reasons for the instability of these systems are most likely the observational errors or the unreal theoretical criteria. Finally, the introduced five criteria are ordered according to their credibility and precision.https://ijaa.du.ac.ir/article_241_404f4bfa43e3f447ea0599c804919197.pdfmultiple star systemsdynamical stabilityhierarchical systems
spellingShingle Reza Pazhouhesh
Hasan Hamedi Nasab
Kazem Yoosefi Roobiat
A Dynamical Stability Study of Triple-Star Systems Using Physical and Geometrical Parameters
Iranian Journal of Astronomy and Astrophysics
multiple star systems
dynamical stability
hierarchical systems
title A Dynamical Stability Study of Triple-Star Systems Using Physical and Geometrical Parameters
title_full A Dynamical Stability Study of Triple-Star Systems Using Physical and Geometrical Parameters
title_fullStr A Dynamical Stability Study of Triple-Star Systems Using Physical and Geometrical Parameters
title_full_unstemmed A Dynamical Stability Study of Triple-Star Systems Using Physical and Geometrical Parameters
title_short A Dynamical Stability Study of Triple-Star Systems Using Physical and Geometrical Parameters
title_sort dynamical stability study of triple star systems using physical and geometrical parameters
topic multiple star systems
dynamical stability
hierarchical systems
url https://ijaa.du.ac.ir/article_241_404f4bfa43e3f447ea0599c804919197.pdf
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