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arXiv 0710.0355astro-ph
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双星周期轨道的一个简单解析公式

A Simple Analytical Formulation for Periodic Orbits in Binary Stars

Erick Nagel, Barbara Pichardo

摘要:

给出了圆形限制性三体问题中周期轨道的解析近似。在这项工作中给出的配方是基于从经典力学已知的计算,但与添加必要的条款,以提供一个相当好的近似,我们比较模拟,从而在一个简单的一组解析表达式,解决周期轨道的磁盘上的二元系统,而不需要解决的运动方程的数值积分。

英文摘要:

An analytical approximation to periodic orbits in the circular restricted three-body problem is provided. The formulation given in this work is based in calculations known from classical mechanics, but with the addition of the necessary terms to give a fairly good approximation that we compare with simulations, resulting in a simple set of analytical expressions that solve periodic orbits on discs of binary systems without the need of solving the motion equations by numerical integrations.

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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