导语

  

内容提要

  

    本书在现代航天动力学的框架下，研究了低能飞行中的轨道动力学问题和任务轨道（转移或者目标轨道）设计问题。旨在用新的方法解决传统的问题，或者对若干亟待解决的新问题展开探索研究，涵盖了以下主题：利用虚拟引力场法进行小推力转移轨道设计，三体系统中基于不变流形的转移问题，天基人工磁场下的编队飞行，以及强不规则小行星附近的轨道力学。

Preface
Chapter 1 Introduction
  1.1  Low-Thrust Propulsion
  1.2  Transfer in the Earth-Moon System
  1.3  Orbital Dynamics Around Irregular Bodies
Chapter 2 Continuous Low Thrust Trajectory Design and Optimization
  2.1  The Virtual Gravity Field Method
    2.1.1  Introduction[1-25]
    2.1.2  The Definition of Virtual Central Gravitational Field
  2.2  Trajectory Design Using the VCGF Method
    2.2.1  Rendezvous Trajectory Design Using VCGF Method
    2.2.2  Orbit Interception Trajectory Design Using VCGF Method
    2.2.3  Mission Applications
    2.2.4  Conclusion Remarks
  2.3  Orbital Rendezvous Between Close Near Earth Asteroids Considering the Third Body Perturbation
    2.3.1  Introduction
    2.3.2  The Variation of Orbital Elements Caused by the Earth Gravitational Perturbation
    2.3.3  Orbital Rendezvous Considering the Third Body Perturbation
    2.3.4  Minimal Fuel Consumption Optimization Using Hybrid Systems
    2.3.5  Simulation Analysis
    2.3.6  Conclusions
  References
Chapter 3 Transfer Between Libration Point Orbits and Lunar Orbits in Earth-Moon System
  3.1  Introduction[1-23]
  3.2  The Dynamic Model
    3.2.1  Equations of Motion
    3.2.2  Change of Coordinates Between the Synodic CR3BP and the Moon-Centred Sidereal Frames
  3.3  Computation of a Transfer from LPO to a Circular Lunar Orbit
    3.3.1  Computation of the Transfer Manoeuvre to a Keplerian Ellipse with a Fixed Inclination i
    3.3.2  Computation of the Departure Manoeuvre: First Approximation
    3.3.3  Refinement of the Departure Manoeuvre and Determination of P
    3.3.4  Computation of the Insertion Manoeuvre at P
  3.4  Numerical Results
    3.4.1  Departing Halo Orbits and Their Invariant Manifolds
    3.4.2  Selection of the Inclination i
    3.4.3  Role of the Angles Between the Arrival and Departure Velocities at P1 and P
    3.4.4  The Role of the Orbit on the Unstable Manifold with
    3.4.5  Varying P1 Along the Manifold Leg
    3.4.6  Setting P1 at the First Apolune
    3.4.7  Changing the Sizes of the Departing and the Target Orbits
  3.5  Conclusions
  References
Chapter 4 Lorentz Force Formation Flying in the Earth-Moon System
  4.1  Introduction[1-38]
  4.2  Analysis of the Relative Dynamics of a Charged Spacecraft Moving Under the Influence of a Magnetic Field
    4.2.1  Modelling Equations and Symmetries
    4.2.2  Equations of Motion in the Normal, Radial and Tangential Cases
    4.2.3  Symmetries
    4.2.4  Equilibrium Points
    4.2.5  Stability of the Equilibrium Points
    4.2.6  Zero Velocity Surfaces
  4.3  Periodic and Quasi-periodic Orbits Emanating from Equilibria
    4.3.1  Computation of Periodic Orbits Around the Equilibrium Points
    4.3.2  Computation of 2D Invariant Tori
    4.3.3  Numerical Results on Periodic and Quasi-periodic Orbits
    4.3.4  The Normal Case
    4.3.5  The Radial Case
    4.3.6  The Tangential Case
  4.4  Formation Flying Configuration Design
    4.4.1  Formation Flying Configuration Using Equilibrium Points
    4.4.2  Formation Flying Configuration Using Periodic Orbits
  4.5  Conclusions
  References
Chapter 5 1∶1 Ground-Track Resonance in a 4th Degree and Order Gravitational Field
  5.1  Introduction[1-18]
  5.2  Dynamical Model
    5.2.1  Hamiltonian of the System
    5.2.2  1∶1 Resonance
  5.3  Primary Resonance
    5.3.1  EPs and Resonance Width
    5.3.2  Numerical Results
  5.4  Secondary Resonance
    5.4.1  The Location and Width of Hreson
    5.4.2  1996 HW
    5.4.3  Vesta
    5.4.4  Betulia
  5.5  The Maximal Lyapunov Characteristic Exponent of Chaotic Orbits
  5.6  Conclusions
  References
Chapter 6 Orbital Dynamics in the Vicinity of Contact Binary Asteroid Systems
  6.1  Summary
  6.2  Numerical Analysis of Orbital Motion Around Contact Binary Asteroid System
    6.2.1  Introduction[1-55]
    6.2.2  Dynamical Model
    6.2.3  Contact Binary System 1996 HW
    6.2.4  Orbital Motion Around the System
    6.2.5  Conclusions
  6.3  Orbital Motion in the Vicinity of the Non-collinear Equilibrium Points
    6.3.1  Introduction
    6.3.2  Dynamical Model
    6.3.3  Non-collinear EPs and Their Stability
    6.3.4  Motion Around the Stable Non-collinear EPs
    6.3.5  Motion Around the Unstable Non-collinear EPs
    6.3.6  Conclusions
  References
Appendix A The Primary Zonal and Tesseral Terms Contributing to the 1∶1 Resonance
Appendix B The Un-normalized Spherical Harmonic Coefficients to Degree and Order
  References
Appendix C The Location of EPs and Resonance Width
Appendix D The Second Derivatives of the Potential at the Eps Located at (x0, y0, 0)
Appendix E The First and Second Derivatives of the ξ Component