Statistics
Scientific paper
Dec 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mnras.271..601b&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. 271, NO. 3/DEC1, P. 601, 1994
Statistics
1
Scientific paper
We study the effects of asymptotic giant branch (AG B) mass loss on the orbital and kinematical parameters of binary stellar systems in which one component is about to become a white dwarf (WD). For a given pair of initial masses drawn from a common mass function, numerical simulations are carried out for semi-major axes a between 102.5 and 1O au and zero initial eccentricity. Two realistic mass-loss functions are used, based on the observation of OH/IR stars and on theoretical considerations relating the mass loss to the core luminosity L of AGB stars. The mass-loss time-scale is determined self- consistently by the models, and the models compared to the case of linear mass loss. The major conclusions are as follows. First, if accelerated mass loss [M (1 -t/toM) ', where t0H = constant 1O yr] is a fair representation of AGB evolution, then instantaneous ejection is a good approximation, at least for initial binary semi-major axes exceeding about 1O au. II, however, an exponential mass loss ( L , where fi = 1 or 2) fits the data more accurately, the adiabatic limit is then generally a better approximation, and most of the effects of mass loss can be reproduced reasonably well by a linear mass-loss function. Secondly, the distribution of initial semi-major axes remains largely unaffected, except for a small deficit at larger a (> 1O au). Thirdly, the newly formed WDs, whether single or still part of the binary system, may acquire small velocities (typically a few tenths of km t, but sometimes somewhat in excess of 1 km 1 for small a). Although small by most standards, these velocities are none the less significant compared to the orbital velocities of putative comets and may affect the statistics of cometary impacts on to degenerate stars. Key words: stars: AGB and post-AGB - binaries: general - stars: mass-loss - white dwarfs - gamma-rays: bursts.
Baribault R.
Pineault Serge
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