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Published online by Cambridge University Press: 19 July 2016
An isolated conducting gas sphere (an idealized model of a globular cluster) can have non-singular postcollapse similarity solutions for appropriate energy sources. Solutions have been found for a source mimicking three-body binaries; they are parametrized by N, the number of stars in the cluster, and are linearly stable if N < 7000, overstable if 7000 < N < 40,000, and unstable if N > 40,000. The nonlinear development is always oscillatory and produces a typically lower central concentration than in the “equilibrium”.