Physics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phdt.........4n&link_type=abstract
Thesis (PH.D.)--QUEEN'S UNIVERSITY AT KINGSTON (CANADA), 1984.Source: Dissertation Abstracts International, Volume: 44-12, Sect
Physics
1
Scientific paper
The evolution of low mass, close binary systems driven primarily by gravitational radiation loss is studied within the framework of both a semi-analytic formulation and a sophisticated numerical (Henyey) method. One of the major advantages associated with the semi-analytic formulation is the facility with which it can be applied to a wide range of physical phenomena. In particular, the effects of several modes of systemic (advective) mass loss have been investigated including a mode which crudely models novae events. An allowance for the possible uncertainty in the Landau-Lifshitz formula for quadrupole radiation has also been incorporated. Although our investigation is restricted to the use of equilibrium (main sequence) models for the mass-losing secondary, it is possible to comment on the value of the minimum period for cataclysmic variables. The semi-analytic formulation has also been used to illustrate the importance of low mass, X-ray binaries as a means of determining the lower limit of the coupling constant of the Brans-Dicke theory of gravity. Detailed information concerning the structure of the secondary of close binary systems is calculated by means of a Henyey scheme. Tidal and rotational distortion has been included in the formulation and the evolution of a (1 + .75) M(,(CIRCLE)) binary system is studied both for the case of spherical symmetry and with the inclusion of distortional effects. A (.4 + 1) M(,(CIRCLE)) system is evolved past the point of minimum period. Good agreement is found between the theoretical value and the observed period cut-off. As well, we find that ignoring the effects of distortion can lead to a significant theoretical underestimate of the value of the minimum period.
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