Increase Many Answers
Infinitely Many Eclipses
摘要：
我们表明，任何有界的零角动量解决方案的牛顿三体问题必须遭受无穷多个日食，或共线，只要它不遭受三重碰撞。这个结果的动机来自于为三体问题建立一个符号动力学的梦想，一个符号1，2，3代表三种类型的日食。证明涉及到形球的共形几何。
英文摘要：
We show that any bounded zero-angular momentum solution for the Newtonian three-body problem must suffer infinitely many eclipses, or collinearities, provided that it does not suffer a triple collision. Motivation for the result comes from the dream of building a symbolic dynamics for the three-body problem, one whose symbols 1, 2, 3 representing the three types of eclipses. The proof involves the conformal geometry of the shape sphere.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
