Statistics – Computation
Scientific paper
Jan 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...172..179k&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 172, no. 1-2, Jan. 1987, p. 179-186.
Statistics
Computation
13
Binary Stars, Computational Astrophysics, Dynamic Stability, Equilibrium Equations, Numerical Stability, Stellar Structure, Chemical Composition, Mass Transfer
Scientific paper
Stationary solutions are discussed for contact systems governed by the stellar structure equations and the usual contact conditions (transfer equation and equipotential condition). The discussion includes the thermal and dynamical stability properties. The existence and the stability of the solutions depend strongly on the form of the transfer equation. Nearly symmetrical systems (mass ratio q of about 1) are discussed analytically. A general discussion based on extensive numerical results is given for a special form of the transfer equation. The linear series of solutions combined with an eigenvalue analysis show that, for given parameters (total mass, angular momentum, and composition), there can exist 1, 3 or 5 equilibrium solutions with quite different stability properties. The influence of (homogeneous and inhomogeneous) changes of the composition is also discussed.
Kaehler H.
Matraka B.
Weigert A.
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