A Phase-Space Boundary Integration of the Vlasov Equation for Collisionless One-Dimensional Stellar Systems (Part of the Proceedings of the IAU Colloquium No. 10, held in Cambridge, England, August 12-15, 1970.)

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The evolution of one dimensional (stratified) self-gravitating systems of stars with constant phase-space density (‘water bag’ model) is investigated by following the motion of the boundary curves defining the systems. The results are compared with those obtained by sheet-model computer experiments and good agreement is found. New aspects of the evolution, revealed by the present method, are discussed.

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