Expanding gravitational systems

Saari, Donald G.

doi:10.1090/S0002-9947-1971-0275729-5

Expanding gravitational systems
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Trans. Amer. Math. Soc. 156 (1971), 219-240 Request permission

Abstract:

In this paper we obtain a classification of motion for Newtonian gravitational systems as time approaches infinity. The basic assumption is that the motion survives long enough to be studied, i.e., the solution exists in the interval $(0,\infty )$. From this classification it is possible to obtain a sketch of the evolving Newtonian universe.

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