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Criterion for Dynamical Instability of Mass Transfer in Binary Evolution

Published online by Cambridge University Press:  12 April 2016

Zhanwen Han
Affiliation:
Yunnan Observatory, NAOC, CAS, Kunming 650011, P. R.China
Philipp Podsiadlowski
Affiliation:
Astrophysics, NAPL, Oxford University, Keble Road, Oxford OX1 3RH, UK
Christopher A. Tout
Affiliation:
Institute of Astronomy, Madingley Road, Cambridge CB3 0HA, UK

Abstract

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Using Eggleton’s code, we performed a series of binary evolution calculations in order to investigate the criterion for dynamical instability of mass transfer in binaries. In these calculations, we took the donor’s mass on the zero-age main sequence (ZAMS) from 0.8 to 1.9 M. For each mass, we systematically varied the mass of the core at the beginning of mass transfer and the mass of the companion star. We assumed that mass transfer was completely non-conservative and that all the mass that was lost from the system carried with it the orbital angular momentum of the accreting component. We found that the critical mass ratio, above which mass transfer is dynamically unstable, is from 1.1 to 1.3 in these red-giant binary systems.

Type
Research Article
Copyright
Copyright © Astronomical Society of the Pacific 2002

References

Eggleton, P.P., & Tout, C.A. 1989, in Algols, ed. Batten, A.H. (Dordrecht: Kluwer), 164 Google Scholar
Green, E.M., Liebert, J., & Saffer, R.A. 2001, in ASP Conf. Ser. Vol. 226, 12th European Workshop on White Dwarfs, ed. Provencal, J.L., Shipman, H.L., MacDonald, J., & Goodchild, S. (San Francisco: ASP), 192 Google Scholar
Hachisu, I., Kato, M., & Nomoto, K. 1996, ApJ, 470, L97 Google Scholar
Han, Z., Eggleton, P.P., Podsiadlowski, P., Tout, C.A., & Webbink, R.F. 2001, in ASP Conf. Ser. Vol. 229, Evolution of Binary and Multiple Star Systems, ed. Podsiadlowski, P., Rappaport, S., King, A.R., D’Antona, F., & Burderi, L. (San Francisco: ASP), 205 Google Scholar
Han, Z., Podsiadlowski, P., Maxted, P.F.L., Marsh, T.R., & Ivanova, N. 2002, MNRAS, in pressGoogle Scholar
Han, Z., Tout, C.A., & Eggleton, P.P. 2000, MNRAS, 319, 215 Google Scholar
Hjellming, M.S., & Webbink, R.F. 1987, ApJ, 318, 794 Google Scholar
Nomoto, K., Nariai, K., & Sugimoto, D. 1979, PASJ, 31, 287 Google Scholar
Podsiadlowski, P., Hsu, J.J.L., JossP.C., , & Ross, R.R. 1994, in The Late Stages of Stellar Evolution, ed. Clegg, R.E.S., Stevens, I.R., & Meikle, W.P.S. (Cambridge: CUP), 187 Google Scholar
Podsiadlowski, P., Joss, P.C., & Hsu, J.J.L. 1992, ApJ, 391, 246 Google Scholar
Podsiadlowski, P., Rappaport, S., & Pfahl, E. 2002, ApJ, 565, 1107 Google Scholar
Prialnik, D., & Kovetz, A. 1995, ApJ, 445, 789 Google Scholar
Reimers, D. 1975, Mem. Roy. Soc. Sci. Liège, 8, 369 Google Scholar
Soberman, G.E., Phinney, E.S., & van den Heuvel, E.P.J. 1997, A&A, 327, 620 Google Scholar
Tauris, T.M., & Savonije, G.J. 1999, A&A, 350, 928 Google Scholar
Webbink, R.F. 1988, in The Symbiotic Phenomenon, ed. Mikolajewska, J., Friedjung, M., Kenyon, S.J., & Viotti, R. (Dordrecht: Kluwer), 311 Google Scholar