Periodic orbits of stars in axisymmetrical stellar systems

Physics

Scientific paper

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Orbits, Stellar Motions, Stellar Rotation, Stellar Systems, Approximation, Orbital Mechanics, Symmetry

Scientific paper

Periodic orbits of stars in axisymmetrical nearly spherical stellar systems have been investigated. Generating orbits have been found among periodic ones relating to the spherically-symmetrical field. The linear approximation appears to be insufficient for constructing periodic trajectories. Possible variants of the generating periodic solutions have been found, which give rise to disturbed periodic orbits in the second approximation.

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