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arXiv math-ph/0402046math-phmath.MP
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牛顿N体问题轨迹计算的一种推广方法

A Generalized approach for computing the trajectories associated with the Newtonian N Body Problem

AbuBakr Mehmood, Syed Umer Abbas Shah, Ghulam Shabbir

摘要:

本文讨论了描述自由空间中N个引力体形成一个孤立系的自由运动的经典牛顿问题。众所周知,从庞加莱格言,这个问题是不完全可解的。研究了由球对称质量、适当的角速度(< 1 rad/s)和有界位置矢量组成的N体系统。一个程序已经开发,产生表达式近似定义的群众执行的轨迹。

英文摘要:

The Classical Newtonian problem of describing the free motions of N gravitating bodies which form an isolated system in free space has been considered. It is well known from the Poincares Dictum that the problem is not exactly solvable. Sets of N body systems composed of masses having spherical symmetry, appropriate angular velocities (< 1 rad/s) and bounded position vectors are examined. A procedure has been developed which yields expressions approximately defining the trajectories executed by the masses.

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。

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