N+2圆Sitnikov问题中二元碰撞的辛正则化
Symplectic Regularization of Binary Collisions in the Circular N+2 Sitnikov Problem
摘要：
我们提出了一个简短的概述开普勒问题的正则化变换，我们与欧拉变换的辛结构的N体问题的相空间。我们表明，任何特定的解决方案的N-体问题，两个机构有直线动力学可以正则化的线性辛变换和列入欧拉变换成组的辛局部超同构的相空间。作为一个应用程序，我们正则化的循环N+2 Sitnikov问题的一个特定的配置。
英文摘要：
We present a brief overview of the regularizing transformations of the Kepler problem and we relate the Euler transformation with the symplectic structure of the phase space of the N-body problem. We show that any particular solution of the N-body problem where two bodies have rectilinear dynamics can be regularized by a linear symplectic transformation and the inclusion of the Euler transformation into the group of symplectic local diffeomorphisms over the phase space. As an application we regularize a particular configuration of the circular N+2 Sitnikov problem.
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。
