Geometric Correction for Wind Accretion in Binary Systems

The Bondi–Hoyle–Lyttleton (BHL) accretion model is widely used to describe how a compact object accretes material from a companion's stellar wind in binary systems. However, its standard implementation becomes inaccurate when the wind velocity ( v _w ) is comparable to or less than the orbital...

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Main Authors: Emilio Tejeda, Jesús A. Toalá
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ada953
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author Emilio Tejeda
Jesús A. Toalá
author_facet Emilio Tejeda
Jesús A. Toalá
author_sort Emilio Tejeda
collection DOAJ
description The Bondi–Hoyle–Lyttleton (BHL) accretion model is widely used to describe how a compact object accretes material from a companion's stellar wind in binary systems. However, its standard implementation becomes inaccurate when the wind velocity ( v _w ) is comparable to or less than the orbital velocity ( v _o ), predicting nonphysical accretion efficiencies above unity. This limits its applicability to systems with low wind-to-orbital velocity ratios ( w  =  v _w / v _o ≤ 1), such as symbiotic systems. We revisit the implementation of the BHL model and introduce a geometric correction factor that accounts for the varying orientation of the accretion cylinder relative to the wind direction. This correction ensures physically plausible accretion efficiencies ( η ≤ 1) for all w in circular orbits. Our new implementation naturally predicts the flattening of the accretion efficiency observed in numerical simulations for w  < 1, without the need for ad hoc adjustments. We also peer into the implications of our prescription for the less-explored case of eccentric orbits, highlighting the key role of the geometric correction factor in shaping the accretion process. We compare our predictions with numerical simulations, finding good agreement for a wide range of parameters. Applications to the symbiotic star R Aqr and the X-ray binary LS 5039 are presented. This improved implementation offers a more accurate description of wind accretion in binary systems, with implications for stellar evolution, population synthesis, and observational data interpretation.
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spelling doaj-art-439494f05a144f76bbf252cc1f04e48c2025-08-20T02:08:49ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-01980222610.3847/1538-4357/ada953Geometric Correction for Wind Accretion in Binary SystemsEmilio Tejeda0https://orcid.org/0000-0001-9936-6165Jesús A. Toalá1https://orcid.org/0000-0002-5406-0813SECIHTI—Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo , Ciudad Universitaria, 58040 Morelia, Mich., Mexico ; emilio.tejeda@umich.mxInstituto de Radioastronomía y Astrofísica, Universidad Nacional Autónoma de México , Morelia 58089, Mich., MexicoThe Bondi–Hoyle–Lyttleton (BHL) accretion model is widely used to describe how a compact object accretes material from a companion's stellar wind in binary systems. However, its standard implementation becomes inaccurate when the wind velocity ( v _w ) is comparable to or less than the orbital velocity ( v _o ), predicting nonphysical accretion efficiencies above unity. This limits its applicability to systems with low wind-to-orbital velocity ratios ( w  =  v _w / v _o ≤ 1), such as symbiotic systems. We revisit the implementation of the BHL model and introduce a geometric correction factor that accounts for the varying orientation of the accretion cylinder relative to the wind direction. This correction ensures physically plausible accretion efficiencies ( η ≤ 1) for all w in circular orbits. Our new implementation naturally predicts the flattening of the accretion efficiency observed in numerical simulations for w  < 1, without the need for ad hoc adjustments. We also peer into the implications of our prescription for the less-explored case of eccentric orbits, highlighting the key role of the geometric correction factor in shaping the accretion process. We compare our predictions with numerical simulations, finding good agreement for a wide range of parameters. Applications to the symbiotic star R Aqr and the X-ray binary LS 5039 are presented. This improved implementation offers a more accurate description of wind accretion in binary systems, with implications for stellar evolution, population synthesis, and observational data interpretation.https://doi.org/10.3847/1538-4357/ada953Binary starsStellar accretionStellar windsHigh mass x-ray binary starsSymbiotic binary stars
spellingShingle Emilio Tejeda
Jesús A. Toalá
Geometric Correction for Wind Accretion in Binary Systems
The Astrophysical Journal
Binary stars
Stellar accretion
Stellar winds
High mass x-ray binary stars
Symbiotic binary stars
title Geometric Correction for Wind Accretion in Binary Systems
title_full Geometric Correction for Wind Accretion in Binary Systems
title_fullStr Geometric Correction for Wind Accretion in Binary Systems
title_full_unstemmed Geometric Correction for Wind Accretion in Binary Systems
title_short Geometric Correction for Wind Accretion in Binary Systems
title_sort geometric correction for wind accretion in binary systems
topic Binary stars
Stellar accretion
Stellar winds
High mass x-ray binary stars
Symbiotic binary stars
url https://doi.org/10.3847/1538-4357/ada953
work_keys_str_mv AT emiliotejeda geometriccorrectionforwindaccretioninbinarysystems
AT jesusatoala geometriccorrectionforwindaccretioninbinarysystems