This article is cited in 4 papers

Computational methods and algorithms

The existence of the exact symmetric solutions in the plane Newton problem of many bodies

E. A. Grebenikov

Institute for High-Performance Computer Systems, Russian Academy of Sciences

Abstract: The existence of a new class of the exact symmetric solutions is proved for differential equations of movement in the plane Newton problem of $n+1$ bodies, vectorially represented by correct, scale-similarly to self varied polygon, rotated with variable angular speed around the centre $P_0$.

Received: 22.09.1997

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