Other
Scientific paper
May 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...197..651t&link_type=abstract
Astrophysical Journal, vol. 197, May 1, 1975, pt. 1, p. 651-666.
Other
12
Astronomical Models, Dynamic Stability, Stellar Evolution, Stellar Motions, Isothermal Processes, Mass Ratios, Numerical Integration, Runge-Kutta Method, Two Body Problem
Scientific paper
The equilibria of finite (confined) isothermal gas spheres composed of particles with two different masses are studied. For given mass ratio and dimensionless radius there exists a one-parameter family of solutions. It is found that for mass ratio greater than 3/2 the total mass of the heavier particles remains finite. Numerical calculations are carried out both for sequences with fixed central density ratio and for sequences with fixed total mass ratio but variable central density ratio. In both cases the sequences display closed loops in the (U, V) phase plane. This suggests interesting, but quite disparate, stability properties for the two types of sequences. A comparison with the two-component dynamical calculations of Spitzer and Hart (1971) is also given, and confirms the equilibration of the cores of their models at later evolutionary times.
Hansen Camilla Juul
Ross Ronald R.
Taff Laurence G.
Van Horn Hugh M.
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