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The Braking Law of Solar Type Stars as Derived from Close Binary Dynamical Evolution

Published online by Cambridge University Press:  12 April 2016

Carla Maceroni*
Affiliation:
Osservatorio Astronomico di Roma, I-00040 Monteporzio, Italy

Extract

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The orbital period of a close binary system (P ~ a few days), formed by two solar type components, evolves under the influence of angular momentum loss (AML) by electromagnetic braking and of spin↔orbit angular momentum transfer (AMT) by tidal coupling. Because of AMT, which tends to reestablish the spin-orbit synchronization destroyed by AML, the loss of AM takes finally place at the expenses of the orbital reservoir and produces shrinking of the orbit and spinning-up of the components. The variation with time of wK and w, respectively the orbital and the rotational angular velocity, is expressed by a system of (stiff) ordinary differential equations and the results of the (numerical) integration strongly depend on the AML and AMT laws. A series of recent papers (Maceroni and Van ’t Veer 1991, 1992, Van’t Veer and Macerord 1992, hereafter MVI, MV2 and VM) presents the resulting orbital period evolution function (PEF) with a variety of choices. A typical result, in terms of orbital period, and for a binary formed by two identical G5 V components, is shown in fig. IA. The solution shown here corresponds to the braking law a) of fig. IB, to the AMT according to Zahn (1977) and to stars rotating as rigid bodies; different assumptions have been tried in MVland VM.

Type
IV. Input physics and basic stellar data
Copyright
Copyright © Astronomical Society of the Pacific 1993

References

Abt, H.A., 1983, ARA&A, 21, 343 Google Scholar
Farinella, P., Luzny, F., Mantegazza, L., Paolicchi, P., 1979, ApJ, 234, 973 Google Scholar
Maceroni, C., Van ’t Veer, F., 1991, A&A, 246, 91 Google Scholar
Maceroni, C., Van ’t Veer, F., 1992, in preparationGoogle Scholar
Schatzman, E., Tutukov, A., 1992, to be published on A&A Google Scholar
Soderblom, D.R., 1983, ApJS, 53, 1 Google Scholar
Stauffer, J.R., 1991 in “ Angular Momentum Evolution of Young stars”, Catalano, S. and Stauffer, R.J. eds., Kluwer Acad. Publ. Google Scholar
Tan, H., Wang, X., Pan, K., 1991, Acta Astron. Sin. 32/2, 145 Google Scholar
Van ’t Veer, F., Maceroni, C., 1992 in “Binaries as tracers of stellar formation”, Eds. Duquennoy, A. and Mayor, M., Cambridge University press, in pressGoogle Scholar
Young, A., Ajir, F., Thurman, G., 1989, PASP, 101, 1017 Google Scholar
Zahn, J.P., 1977, A&A, 57, 383 Google Scholar