航天器姿态动力学中的混沌 英文2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

航天器姿态动力学中的混沌 英文PDF格式电子书版下载

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Chapter 1 Primer on Spacecraft Dynamics1

1.1 Orbital Motion of Spacecraft2

1.1.1 Gravitational Field of a Particle2

1.1.2 Gravitational Field of a Rigid Body2

1.1.3 Dynamical Equations of Two-body System4

1.1.4 First Integrals5

1.1.5 Characteristics of Keplerian Orbit8

1.1.6 Elliptic Orbit10

1.2 Environmental Torques Acting on Spacecraft12

1.2.1 Gravitational Torque12

1.2.2 Magnetic Torque15

1.3 Attitude Motion of Spacecraft in the Gravitational Field17

1.3.1 Euler's Equations and Poisson's Equations17

1.3.2 Planar Libration19

1.3.3 Stability of Relative Equilibrium22

1.3.4 Attitude Motion of a Gyrostat26

1.4 Attitude Motion of Torque-free Spacecraft27

1.4.1 Torque-free Rigid Body27

1.4.2 Torque-free Gyrostat29

1.4.3 Influence of Energy Dissipation on Spinning Spacecraft31

References32

Chapter 2 A Survey of Chaos Theory33

2.1 The Overview of Chaos34

2.1.1 Descriptions of Chaos34

2.1.2 Geometrical Structures of Chaos35

2.1.3 Routes to Chaos37

2.2 Numerical Identification of Chaos40

2.2.1 Introduction40

2.2.2 Lyapunov Exponents40

2.2.3 Power Spectra42

2.3 Melnikov Theory44

2.3.1 Introduction44

2.3.2 Transversal Homoclinic/Heteroclinic Point44

2.3.3 Analytical Prediction47

2.3.4 Interruptions50

2.4 Chaos in Hamiltonian Systems51

2.4.1 Hamiltonian Systems,Integrability and KAM Theorem51

2.4.2 Stochastic Layers and Global Chaos55

2.4.3 Arnol'd Diffusion58

2.4.4 Higher-Dimensional Version of Melnikov Theory59

References61

Chapter 3 Chaos in Planar Attitude Motion of Spacecraft63

3.1 Rigid Spacecraft in an Elliptic Orbit64

3.1.1 Introduction64

3.1.2 Dynamical Model65

3.1.3 Melnikov Analysis66

3.1.4 Numerical Simulations68

3.2 Tethered Satellite Systems69

3.2.1 Introduction69

3.2.2 Dynamical Models70

3.2.3 Melnikov Analysis of the Uncoupled Case73

3.2.4 Numerical Simulations74

3.3 Magnetic Rigid Spacecraft in a Circular Orbit75

3.3.1 Introduction75

3.3.2 Dynamical Model77

3.3.3 Melnikov Analysis79

3.3.4 Numerical Investigations:Undamped Case80

3.3.5 Numerical Investigations:Damped Case83

3.4 Magnetic Rigid Spacecraft in an Elliptic Orbit89

3.4.1 Introduction89

3.4.2 Dynamical Model89

3.4.3 Melnikov Analysis91

3.4.4 Numerical Simulations92

References95

Chapter 4 Chaos in Spatial Attitude Motion of Spacecraft99

4.1 Attitude Morion Described by Serret-Andoyer Variables100

4.1.1 Serret-Andoyer Variables100

4.1.2 Torque-free Rigid Body103

4.1.3 Torque-free Gyrostat104

4.1.4 Gyrostat in the Gravitational Field106

4.1.5 Influence of the Geomagnetic Field107

4.2 Rigid-body Spacecraft in an Elliptic Orbit108

4.2.1 Introduction108

4.2.2 Dynamical Model109

4.2.3 Melnikov Analysis111

4.2.4 Numerical Simulations113

4.3 Rigid-body Spacecraft with an Eccentrically Rotating Mass113

4.3.1 Introduction113

4.3.2 Dynamical Model116

4.3.3 Melnikov Analysis117

4.3.4 Numerical Simulations119

4.4 Magnetic Gyrostat Spacecraft in a Circular Orbit120

4.4.1 Introduction120

4.4.2 Unperturbed Motion of a Gyrostat122

4.4.3 Melnikov Analysis123

4.4.4 Numerical Simulations125

References127

Chapter 5 Control of Chaotic Attitude Motion131

5.1 Control of Chaos:An Overview131

5.1.1 Introduction131

5.1.2 Problem Formulations133

5.1.3 OGY Method and Its Generalization134

5.1.4 Synchronization:Chaos Control in a Broader Sense136

5.2 The Parametric Open-plus-closed-loop Method137

5.2.1 Introduction137

5.2.2 The Control Law138

5.2.3 Numerical Examples140

5.2.4 Discussions144

5.3 The Stability Criterion Method145

5.3.1 Introduction145

5.3.2 The Control Law146

5.3.3 Numerical Examples147

5.4 Controlling Chaotic Attitude Motions153

5.4.1 Introduction153

5.4.2 Dynamical Model of Controlled Spacecraft154

5.4.3 Applications of the Parametric Open-plus-closed-loop Method155

5.4.4 Applications of the Stability Criterion Method156

References160