On the fission theory of binary stars. III - The formulation of the bifurcation problem

Details On the fission theory of binary stars. III - The formulation of the bifurcation problem On the fission theory of binary stars. III - The formulation of the bifurcation problem

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...275..316l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 275, Dec. 1, 1983, p. 316-329.

Mathematics

7

Binary Stars, Branching (Mathematics), Stellar Evolution, Stellar Models, Ellipsoids, Equations Of State, Fission, Linearization, Perturbation Theory

Scientific paper

A family of compressible Riemann ellipsoids is taken as the known, unperturbed solution of the equations governing secular evolution of an inviscid fluid mass. The problem of the evolution of figures that depart slightly from the ellipsoidal family is discussed in perturbation form, with special attention to the bifurcation of a nonellipsoidal family from a critical Riemann ellipsoid. The similarities to and differences from the classical fission theory of incompressible liquids are discussed, as are physical assumptions and mathematical techniques needed in treating the present problem.

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