Statistics – Computation
Scientific paper
Jul 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.257..245a&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 257, no. 2, July 15, 1992, p. 245-256. Research support
Statistics
Computation
6
Astronomical Models, Computational Astrophysics, Differential Equations, Globular Clusters, Gravitational Effects, Oscillations, Binary Stars, Mathematical Models, Stellar Evolution, Three Body Problem
Scientific paper
Attention is given to a model constructed in the form of three ordinary differential equations, which incorporates some of the essential physics governing the evolution of the core of an idealized globular star cluster, and which exhibits gravothermal oscillations and other aspects of the evolution. The central part of the system, with temperature T1, behaves gravothermally, expanding and cooling if heat flows into it. Matter in a restricted zone outside the central part has T2, and rises in temperature if heat flows into it from inside. The zone of T2 is surrounded by an outer zone of T3, and cools rapidly into this temperature except when the second zone is of small radius and high temperature. The innermost zone is heated by binaries formed in three-body interactions. The outermost zone tends to collapse (and heat up) if it receives too little thermal energy from the intermediate zone.
Allen Frank S.
Heggie Douglas C.
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