An asymmetric heavy gyroscope can regularly precess only when its suspension point lies on one of two lines marking where the intermediate and largest moments of inertia exchange order, with exactly two motions.
Classical harmonic oscillator with quantum energy spectrum
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abstract
The classical dynamical system possessing a quantum spectrum of energy and "quantum" behavior is suggested and investigated. The proposed model can be considered as a dynamical variant of the old quantum theory for harmonic oscillator in which the Bohr-Sommerfeld quantization rule is absent and "quantum-mechanical" properties are the result of system behavior itself. For this dynamical system the classical model of Franck-Hertz experiment which allows explaining the experimentally observed regularities is suggested and investigated. The examples of calculations of Franck-Hertz experiment of within the limits of the suggested model of classical dynamical system are presented.
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An alternative interpretation of the Grioli gyroscope suspension points
An asymmetric heavy gyroscope can regularly precess only when its suspension point lies on one of two lines marking where the intermediate and largest moments of inertia exchange order, with exactly two motions.