N-body problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Binary Stars, Celestial Mechanics, Chaos, Ergodic Process, Escape Velocity, Many Body Problem, Orbits, Star Formation, Angular Momentum, Euler Equations Of Motion, Euler-Lagrange Equation, Qualitative Analysis

Scientific paper

This is a review article on the N-body problem. The development of the qualitative methods regarding the various topics of Celestial Mechanics are presented in a systematic way starting from the early researches of the particular solutions and the new integrals of motion to the recent development on the existence of periodic orbits, binary formation, escaping, Kolmogorov, Arnold, and Moser (KAM) theorem and chaos.

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