Authors: Sergey V. Ershkov
Here are presented a key points of criticism of KAM (Kolmogorov-Arnold-Moser) theory in the application of main results to the field of celestial mechanics, especially in the case of restricted 3-bodies problem. The main paradox of KAM-theory is that appropriate Hamilton formalism should be valid for the KAM dynamical systems, but Hamilton formalism could not be applied for restricted 3-bodies problem (which is proved to have only the Jacobian-type integral of motion, but the integrals of energy, momentum are not invariants).
Comments: 7 Pages. Key Words: KAM (Kolmogorov-Arnold-Moser) theory; Hamilton formalism; Yarkovsky effect; photogravitational restricted three body problem; Jacobian-type integral of motion
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