The Jacobi problem on a plane
2009, Vol. 5, No. 1, pp. 83-86
Author(s): Kilin A. A.
3-particle systems with a particle-interaction homogeneous potential of degree $α=-2$ is considered. A constructive procedure of reduction of the system by 2 degrees of freedom is performed. The nonintegrability of the systems is shown using the Poincare mapping.
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