平面三体问题的一种尝试性符号动力学
A trial symbolic dynamics of the planar three-body problem
摘要：
将符号动力学应用于平面三体问题。符号被定义在平面轨道上，当它经历一个合朔交叉。如果物体i在合朔交叉点的中间，并且由三个物体组成的三角形的矢量面积的符号从+变为-，则该事件的数字为i，而如果矢量面积的符号从-变为+，则数字为i+3。我们研究的情况下，自由落体三体问题的前几位的符号序列，我们研究的情况下，角动量只为第一位的符号序列。这些试验表明了平面三体问题的一些新的方面。
英文摘要：
Symbolic dynamics is applied to the planar three-body problem. Symbols are defined on the planar orbit when it experiences a syzygy crossing. If the body i is in the middle at the syzygy crossing and the vectorial area of the triangle made with three bodies changes sign from + to -, number i is given to this event, whereas if the vectorial area changes sign from - to +, number i+3 is given. We examine the case of free-fall three-body problem for the first few digits of symbol sequences, and we examine the case with angular momentum only for the first digit of the symbol sequences. This trial experiments show some new aspects of the planar three-body problem.
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