ИСТИНА

The dynamics of systems in a potential field is considered in the case where kinetic energy can be represented in conformal form. In the case of two degrees of freedom, conformal coordinates always exist. It is assumed that the system can additionally experience gyroscopic forces. For a fixed value of the total energy, the equations of motion are reduced to a simple ``universal'' form by changing time. A case of integrability of the equations of motion at fixed total energy is indicated.