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
Unique-IP document downloads: 177 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.