THE BOUNDARY THREE-BODY PROBLEM: THEORETICAL FOUNDATIONS, STABILITY ANALYTICAL AND MODERN MODELING APPROACHES
Keywords:
Bounded three-body problem, Lagrange points, stability analysis, numerical modeling, artificial intelligence, Lyapunov method, space mechanics.Abstract
This article considers one of the most important problems of classical mechanics - the boundary three-body problem. The theoretical foundations of the problem, in particular, the Lagrange and Euler points, the equations of motion in the system and their properties are analyzed. Also, the stability analysis of the problem is covered using the Lyapunov method and numerical modeling tools. Modern approaches, including models based on artificial intelligence, numerical computing algorithms and their practical applications, are also discussed. The results of the research further reveal the importance of this complex problem in space mechanics, astrodynamics and other sciences.
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