近地卫星轨道上方形薄板的超混沌

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中文摘要：由于其小质量和偏心率，近地卫星轨道上的碎片运动可能是混沌的。本文所研究的在近地卫星轨道中偏质心的方形薄板是混沌的。混沌系统以其对初始条件的敏感依赖而闻名，但其统计特性通常对小扰动不敏感。然而，最近提出的一个名为超混沌的状态，其统计量对小扰动也同样敏感。本文表明，超混沌广泛存在于近地卫星轨道上的偏质心方形薄板中。结果显示，超混沌的轨迹比正常混沌的轨迹更为混乱，位置偏差可能比正常混沌大两个数量级。与以往发现的超混沌系统不同，本研究揭示了一个没有周期性边界的物理约束系统中的超混沌状态，而遗忘的超混沌系统至少有一个周期边界或缺乏物理边界。超混沌概念合理地解释了空间碎片可以扩散很大区域的原因，因为大多数碎片是偏质心的。

外文标题：Ultra-chaos of square thin plate in low Earth orbit

外文摘要：Due to its small mass and eccentricity,the motion of a piece of debris in low Earth orbit(LEO)may be chaotic.This paper demonstrates that ultra-chaos widely exists in the case of a square thin plate in LEO with a center of mass(COM)that is initially displaced from the axis of symmetry.Chaotic systems are well-known for their sensitive dependence on initial conditions,though their statistical properties are usually insensitive to small disturbances.However,a recent concept called ultra-chaos has been introduced to describe chaotic systems whose statistics are sensitive to even tiny disturbances.This paper demonstrates that ultra-chaos is widely exists in a square thin plate in LEO with a displaced COM from the axis of symmetry.The results show that an ultra-chaotic plate trajectory exhibits higher disorder than that of a normal plate,with a position deviation that can be two orders of magnitude larger than that of a normal-chaotic subsystem.Distinct from earlier findings concerning ultra-chaotic systems,the present study uncovers the manifestation of ultra-chaos in a physically constrained system devoid of periodic boundaries.Prior investigations of ultra-chaotic systems have featured at least one periodic boundary or lacked a physical boundary.The new concept of ultra chaos provides a plausible explanation as to why space debris can spread to a vast area,as most pieces of debris have a displaced COM.

外文关键词：

ChaosNumerical simulationLow Earth orbit

作者：

张博、杨宇、廖世俊

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作者单位：

School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China

关键词：

Chaos Numerical simulation Low Earth orbit

基金：

National Natural Science Foundation of ChinaShanghai Pilot Program for Basic Research-Shanghai Jiao Tong Universityproject"Development of Largescale Spacecraft Flight and Reentry Surveillance and Prediction System"of Manned Space Engineeri

项目编号：

1227223021TQ1400202

出版年：

2024

DOI：

10.1007/s10409-023-23428-x

力学学报(英文版)

CSTPCD

影响因子：0.363

ISSN：0567-7718

年,卷(期)：2024.40(5)