2005
DOI: 10.1111/j.1365-2966.2005.08905.x
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Circumstellar and circumbinary discs in eccentric stellar binaries

Abstract: We explore test particle orbits in the orbital plane of eccentric stellar binary systems, searching for ‘invariant loops’: closed curves that change shape periodically as a function of binary orbital phase as the test particles in them move under the gravity of the stars. Stable invariant loops play the same role in this periodically varying potential as stable periodic orbits do in stationary potentials; in particular, when dissipation is weak, gas will most likely follow the non‐intersecting loops, while nea… Show more

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Cited by 176 publications
(199 citation statements)
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“…This is because the truncation and stellar radii are very similar, so any disc would have to be very small indeed (Pichardo, Sparke, & Aguilar 2005;Garcia et al 2013). Instead we model the accretion as falling directly from the corotation radius of each star (Da Rio et al 2014).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…This is because the truncation and stellar radii are very similar, so any disc would have to be very small indeed (Pichardo, Sparke, & Aguilar 2005;Garcia et al 2013). Instead we model the accretion as falling directly from the corotation radius of each star (Da Rio et al 2014).…”
Section: Resultsmentioning
confidence: 99%
“…A disc around the primary would be truncated at R trunc = 4 R , and the secondary disc at R trunc = 3 R (Pichardo et al 2005;Garcia et al 2013). Comparing this with the stellar radii themselves (respectively 3.3 and 2.5 R ; Böhm et al 2004;Fumel & Böhm 2012) clearly shows that any discs will be small indeed.…”
Section: Numerical Limitations and Omissions From The Modelmentioning
confidence: 99%
“…In viscous evolution, the timescale of dissipation is given by t ∝ R 2 out . The R out of binary systems depends upon the semi-major axis a, being approximated by ∼a/3 (e.g., Artymowicz & Lubow 1994;Pichardo et al 2005). Therefore, the peak in the EF distribution is difficult to reproduce assuming viscous evolution alone, since more time is required to disperse the dust disk as the binary separation (hence the disk size) increases.…”
Section: Mechanism Of Dust Dispersal In Binary Systemsmentioning
confidence: 99%
“…In addition, EF model (a < ∼ 40 AU) ∼ 20-40% is assumed based on the report by Cieza et al (2009). Adopting a truncation radius of R out = 0.337a found in the systems of mass ratio q ≡ M s /M p = 1 with low-eccentricity (Pichardo et al 2005), the EF can be estimated as a function of R out over three separation regions; R out < ∼ 10 AU, R out ∼ 100-150 AU, and R out > ∼ 150 AU. From the above arguments, the EF model (R out )'s in the three separation regions are varied around ∼20, 100, and 70%, respectively.…”
Section: Ef Distribution As a Function Of Disk Outer Radiusmentioning
confidence: 99%
“…If we assume that the system was about 1.4 times closer before the mass loss of the white dwarf progenitor star (Weidemann 2000), such a close companion yields only a small long time stable region for planets (only 1.7 AU, Holman & Wiegert 1997). The same holds for the size of the protoplanetary disk in which the planet formation process took place (Pichardo et al 2005), posing a problem to the theory of planet formation. Nevertheless, a massive planet (msin(i) =4 M Jup , Queloz et al 2000) had been formed in this environment and finally also survived the post main sequence evolution of the white dwarf progenitor star.…”
Section: Introductionmentioning
confidence: 99%