Statistics – Computation
Scientific paper
Mar 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...290...47m&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 290, March 1, 1985, p. 47-65.
Statistics
Computation
2
Astronomical Models, Ideal Gas, Polytopes, Spheres, Stellar Gravitation, Time Dependence, Computational Astrophysics, Dynamic Models, Group Theory, Hydrodynamic Equations, Q Factors, Stellar Models, Stellar Oscillations
Scientific paper
The quasi-invariant polytrope designated 'QUIP', which is obtained on the basis of group theory, constitutes a time-dependent model solution representing the monotonic expansion or contraction of a self-gravitating gas sphere with a polytropic index n = 3. Radiation is introduced into the model through a dynamic diffusion description. Compatibility between the equations of hydrodynamics and radiation leads to the definition of a standard QUIP which generalizes Eddington's standard model. The solution of the standard QUIP is proved to depend on only three initial conditions, which are related to experimental values. Families of standard QUIPS can be characterized by a constant Q-factor and an effective temperature.
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