The Structure, Stability, and Dynamics
of Self-Gravitating Systems

Joel E. Tohline
Kimberly C. B. New
John Cazes
Monika Lee
Pete Nelson

Hachisu Self-Consistent-Field (HSCF)

In 1986, Izumi Hachisu published two papers in The Astrophysical Journal Supplement Series (Vol. 61, p. 479; Vol. 62, p. 461) describing "A Versatile Method for Obtaining Structures of Rapidly Rotating Stars." (Henceforth, we will refer to this method as the Hachisu Self-Consistent-Field, or HSCF, technique.) We have found the HSCF technique to be an extremely powerful tool for constructing equilibrium configurations of self-gravitating fluid systems under a wide variety of different circumstances. For example, it can be used to generate:

Single stars Binaries Accretion disks Galaxy disks Throughout this H_Book, we frequently draw upon a particular numerical implementation of the HSCF technique to construct rotating equilibrium configruations of self-gravitating objects having a variety of different degrees of compressibility and a variety of different geometries.

As has been mentioned briefly in the context of spherical polytropic configurations [Eqs. III.A.39 & III.A.3] and in the context of axisymmetric objects in simple rotation [Eqs. III.F.13 & III.F.24], through an SCF technique one iterates back and forth between solutions to the (pair of) equations that govern an object's equilibrium structure until a satisfactory, "self-consistent" solution to the combined (pair of) equations has been determined. On the accompanying pages, we provide:

If you find these applications to be even half as useful to your studies or research as we have, then the time we have invested in putting the accompanying application interface together certainly will have been worthwhile. Please write to us and let us know what improvements you would like to see made in this application.

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