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arXiv 1108.5481nlin.CDastro-ph.GAmath.DS
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测试快速动态指示器:MEGNO

Testing a Fast Dynamical Indicator: The MEGNO

Nicolas Maffione, Claudia Giordano, Pablo Cincotta

摘要:

为了研究非线性动力系统,例如人造卫星,太阳系,系外行星或银河系模型,有必要手头有几个工具,例如可靠的动力学指标。目前的工作的目的是测试一个相对较新的快速指标,平均指数增长因子的附近轨道(MEGNO),因为它正在成为一个广泛的技术研究的哈密顿系统,特别是在动力学天文学和天体动力学领域,以及分子动力学。为了进行这项测试,我们在一个三轴星系系统,其动力学研究的有限时间李雅普诺夫特征数(FT-LCN)的计算装置的轨道样本进行了详细的数值和统计研究。

英文摘要:

To investigate non-linear dynamical systems, like for instance artificial satellites, Solar System, exoplanets or galactic models, it is necessary to have at hand several tools, such as a reliable dynamical indicator. The aim of the present work is to test a relatively new fast indicator, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), since it is becoming a widespread technique for the study of Hamiltonian systems, particularly in the field of dynamical astronomy and astrodynamics, as well as molecular dynamics. In order to perform this test we make a detailed numerical and statistical study of a sample of orbits in a triaxial galactic system, whose dynamics was investigated by means of the computation of the Finite Time Lyapunov Characteristic Numbers (FT-LCNs) by other authors.

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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