Equivalence of Energy-Time and Momentum-Position Phase Spaces of the Solar System

Physics

Scientific paper

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Harmonic Motion In Solar Systems

Scientific paper

In the first step, equivalence of energy-time and momentum-position phase spaces is discussed for simple periodic systems having a central force. The discussion concerns the phasespace areas taken as a whole, as well as their fragments. It is demonstrated that some fragments of the phase space areas can fit together with a considerable accuracy. This suggests similar equivalence of the corresponding fragments of the phase-space areas of the solar system. The hypothesis is examined in respect to the planet orbits and the orbits of some planet satellites.

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