等质量五体问题的中心问题
Central Configurations of the Five-Body Problem with Equal Masses
摘要：
本文给出了等质量五体问题孤立中心构型的一个完整分类。这是通过使用多面体同伦方法来近似所有孤立的Albouy-Chenciner方程的解决方案。精确解的存在性，在附近的近似的，然后验证使用Krawczyk方法。虽然五体问题的Albouy-Chenciner方程很庞大，但可以在合理的时间内解决它们。
英文摘要：
In this paper we present a complete classification of the isolated central configurations of the five-body problem with equal masses. This is accomplished by using the polyhedral homotopy method to approximate all the isolated solutions of the Albouy-Chenciner equations. The existence of exact solutions, in a neighborhood of the approximated ones, is then verified using the Krawczyk method. Although the Albouy-Chenciner equations for the five-body problem are huge, it is possible to solve them in a reasonable amount of time.
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。
