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" Stabilization of the chaotic behaviour in celestial mechanics ".

A.R. Dzhanoev (M.V. Lomonosov Moscow State University)

 

Abstract: 

A new type of orbit in three-body problem is constructed. It is analytically shown that along with the well known chaotic and regular orbits in the three-body problem there also exists a qualitatively different type of orbit which we call "stabilized". The stabilized orbits are a result of additional orbiting bodies that are placed in the neighborhood of triangular Lagrange points.