2019
DOI: 10.3847/1538-4357/ab001d
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An Analytic Model for Mass Transfer in Binaries with Arbitrary Eccentricity, with Applications to Triple-star Systems

Abstract: Most studies of mass transfer in binary systems assume circular orbits at the onset of Roche lobe overflow. However, there are theoretical and observational indications that mass transfer could occur in eccentric orbits. In particular, eccentricity could be produced via sudden mass loss and velocity kicks during supernova explosions, or Lidov-Kozai (LK) oscillations in hierarchical triple systems, or, more generally, secular evolution in multiple-star systems. However, current analytic models of eccentric mass… Show more

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Cited by 48 publications
(45 citation statements)
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“…Hamers & Dosopoulou (2019) noted that evolution towards circularisation from Dosopoulou & Kalogera (2016b) could lead to (non-physical) negative eccentricity solutions. They proposed a revised analytic model for mass transfer in eccentric binaries.…”
Section: Discussionmentioning
confidence: 99%
“…Hamers & Dosopoulou (2019) noted that evolution towards circularisation from Dosopoulou & Kalogera (2016b) could lead to (non-physical) negative eccentricity solutions. They proposed a revised analytic model for mass transfer in eccentric binaries.…”
Section: Discussionmentioning
confidence: 99%
“…We further note that the dynamics of these encounters are the high-mass ratio limit of the more-thoroughly considered scenario of Roche lobe overflow in eccentric stellar binaries (e.g. Matese and Whitmire 1983;Hamers and Dosopoulou 2019).…”
Section: Multiple Encountersmentioning
confidence: 85%
“…We note that on an eccentric orbit, _ M=M may vary smoothly along the orbit. For instance, it might be reasonable to assume that _ M has a local maximum and minimum at periapsis and apoapsis, respectively [13]. Detailed modeling of mass transfer in eccentric orbits is the subject of ongoing research that is beyond the scope of this paper.…”
Section: Donor Spin Evolution Due To Mass Transfermentioning
confidence: 99%
“…In turn, modeling the mass transfer rate on eccentric orbits in which the orbital separation oscillates is extremely difficult since mass transfer might occur partially within each orbit at a varying rate and does backreact on the orbital elements, changing the eccentricity and semimajor axis. Recently, several promising attempts have been made to solve these difficulties [13][14][15][16]. Secondly, the rotational angular momentum vectors (spins) of the binary stars are assumed to be aligned with the orbital axis.…”
Section: Introductionmentioning
confidence: 99%