Jiacheng Wang1, Jhon Tu2, Yicheng Zhao3
1Shandong Experimental High School, Jinan, 250001, China.
2United World College of Changshu, Changshu, 215501, China.
3Fuzhou No.1 High School, Fuzhou, 350001, China.
This paper mainly analyzes the chaotic systems behind the three-body problem, establishing the relationship between initial parameters of the three stars and the degree of chaos, classifying and comparing the Lagrangian (some or famous) points with computer simulation and mathematical demonstration. Moreover, this paper also presents the analysis for the special cases of three-body systems in two-dimensional plane with stabilized patterns of every specific solution with computer simulation and theoretical demonstrations.
Chaotic system, Lagrangian points, Specific solution, Two-dimensional restricted, Three-body problem
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