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The minimum mass ratio of W UMa-type contact binaries—a new calculation
- Source :
- Scientific Reports, Vol 14, Iss 1, Pp 1-7 (2024)
- Publication Year :
- 2024
- Publisher :
- Nature Portfolio, 2024.
-
Abstract
- Abstract A model is developed to establish the relationship between the critical gyration radius k of the primary component and the mass ratio (q) by considering the different dimensionless gyration radii of main-sequence stars with varying masses. The next step involves obtaining the low mass ratio limit ( $${q_{\text{min}}} = 0.038 \sim 0.041$$ q min = 0.038 ∼ 0.041 for overcontact degree $$f = 0$$ f = 0 ~ 1) of W UMa-type contact binaries. Furthermore, the radial density distributions are estimated within the range of $$0.3 M_{\odot } \sim 4.0 M_{\odot }$$ 0.3 M ⊙ ∼ 4.0 M ⊙ , based on the mass-radius relationship of main-sequence stars. Subsequently, the physical meaning of the minimum k value is proposed, which leads to an explanation for the cause of the minimum mass ratio. Finally, a stability criterion is proposed, which is based on both the mass ratio (q) and the total mass of the two components ( $$M_{tot}$$ M tot ).
- Subjects :
- Eclipsing binaries
W UMa
Minimum mass ratio
Medicine
Science
Subjects
Details
- Language :
- English
- ISSN :
- 20452322
- Volume :
- 14
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Scientific Reports
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.b802d1ece95f409088fb6234edbdc0ab
- Document Type :
- article
- Full Text :
- https://doi.org/10.1038/s41598-024-63833-y