Abstract:
The dynamics of systems in a potential field is considered where kinetic energy can be presented in a conformal form. In the case of two degrees of freedom the conformal coordinates are always exists. It is assumed that more gyroscopic forces. At a fixed value of the total energy with by changing the time, the equations of motion are reduced to the simple the “universal” kind. The case of integrability of the equations motion at a fixed total energy.
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