Periodic orbits

Mathematics

Scientific paper

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Celestial Mechanics, Orbital Mechanics, Stellar Systems, Three Body Problem, Analytic Functions, Asteroids, Branching (Mathematics), Dynamic Stability, Many Body Problem, Natural Satellites, Planetary Systems, Series Expansion, Solar Orbits, Stellar Motions

Scientific paper

Recent results on periodic orbits are presented. Planetary systems can be studied by the model of the general three-body problem and also some satellite systems and asteroid orbits can be studied by the model of the restricted three-body problem. Triple stellar systems and planetary systems with two suns are close to periodic systems. Finally, the motion of stars in various types of galaxies can be studied by finding families of periodic orbits in several galactic models.

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