On the periodic solutions of the three-body problem
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摘要:
The motion of three bodies that attract each other by universal gravitation was first investigated by Newton [1] and was reconsidered by many great mathematicians and scientists,including Euler,Lagrange,Poincaré [2] and Hilbert.The famous three-body problem has had a great influence on physics,mathematics and non-linear dynamics.It has led to a new field of modern science,i.e.chaotic dynamics.Stable periodic motion of a multiple celestial body system could provide a necessary background in time and space for the evolution of living beings,because human beings might be a result of more than four billion years of evolution.So,it is important to find periodic solutions of the three-body problem.