{ "id": "2411.01755", "version": "v1", "published": "2024-11-04T02:38:28.000Z", "updated": "2024-11-04T02:38:28.000Z", "title": "Revisiting Bondi-Hoyle-Lyttleton accretion in binary systems", "authors": [ "Emilio Tejeda", "Jesús A. Toalá" ], "comment": "15 pages, 2 Tables, 10 Figures; submitted to ApJ (comments are welcome)", "categories": [ "astro-ph.HE", "astro-ph.SR" ], "abstract": "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, this classical model becomes inaccurate when the wind velocity ($v_\\mathrm{w}$) is comparable to or less than the orbital velocity ($v_\\mathrm{o}$), predicting nonphysical accretion efficiencies above unity. This limits its applicability to systems with low wind-to-orbital velocity ratios ($w= v_\\mathrm{w}/v_\\mathrm{o} \\leq 1$), such as symbiotic systems. We revisit 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 ($\\eta\\leq 1$) for all $w$ in circular orbits. Our modified model 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 model 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 model offers a more accurate description of wind accretion in binary systems, with implications for stellar evolution, population synthesis, and observational data interpretation.", "revisions": [ { "version": "v1", "updated": "2024-11-04T02:38:28.000Z" } ], "analyses": { "keywords": [ "binary systems", "revisiting bondi-hoyle-lyttleton accretion", "accretion efficiency", "geometric correction factor", "ensures physically plausible accretion" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }