Abrarov Dmitry. The canonical analytical three-dimensional sphere as the orbit of the phase flow of the Euler-poisson equations and the generalized Dzhanibekov effect

Natural Sciences / Mathematics / Dynamical systems

Submitted on: Nov 20, 2022, 11:30:09

Description: The main aspects of the equivalence of the phase flow of the Euler-Poisson equations and the canonical simply connected analytical structure on the three-dimensional sphere are given in accordance with the results of previous author papers as well as some additions. In this context, emphasis is placed on such a celestial-mechanical application as a natural generalization of the well-known Dzhanibekov effect (generalized Dzhanibekov effect), considered in the model of a ball gravitational dipole of relative dynamics in the Earth-Moon system.

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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