Numerical experiments on expanding gravitational systems

Statistics – Computation

Scientific paper

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Astronomical Models, Galactic Clusters, Gravitational Effects, Many Body Problem, Numerical Integration, Computer Techniques, Energy Transfer, Equations Of Motion, Mass Distribution, Mathematical Models, Runge-Kutta Method

Scientific paper

Approaches leading to an improvement in the efficiency of accurate 200-body integration routines are described. The described procedure makes use of a one-step variable-order method with a collective step size and several simultaneous regularizations. The new procedure is employed in a study of the effect of boundary conditions on clustering in expanding systems. It is shown that a large systematic exchange of energy can take place across a boundary. The formation of clusters of a particular size and mass depends greatly on the presence or absence of adjacent material of similar size and mass.

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