- 受限三体问题(英文)/国外优秀数学著作原版系列
- - 作者：(印)坤德拉帕姆·比诺德·曼冈|责编:刘家琳//张嘉芮
  - 出版社：哈尔滨工业大学
  - ISBN：9787560344812
  - 出版日期：2022/05/01
  - 页数：286
- 售价：15.2

内容大纲
本书是一部天体力学方面的英文专著，中文书名可译为《受限三体问题》。本书共四章。第一章为一般介绍性内容。其中包括本书主题的历史，还有书中使用的各种符号的定义、定理和其他定义。第二章专门讨论了在线性指向中的摄动对受限三体问题平衡点的存在性和稳定性的影响。第三章处理有限问题平衡点的非线性稳定性问题。第四章中，还讨论了在线性指向和非线性指向中，当原始体是三维刚体时的有限三体问题。
作者介绍
目录
Summary
Chapter 1 GENERAL INTRODUCTION Introduction
  1.1  Notations and Symbols
  1.2  Definitions
  1.3  Theorems of The Stability of
  Linear and Non-Linear Systems
Chapter 2 EFFECT OF PERTURBATIONS ON THE
   LOCATIONS AND LINEAR STABILITY
   OF EQUILIBRIUM POINTS OF THE
   RESTRICTED THREE BODY PROBLEM Introduction
  2.1  Effect of Perturbation in the Coriolis
    Force on the Locations and Stability of
    Equilibrium Points
    2.1.1  Equations of Motion
    2.1.2  Locations of Equilibrium points
    2.1.3  Stability of Equilibrium Points
    2.1.4  Conclusions
  2.2  Effect of Perturbations in Coriolis and
    Centrifugal forces on the Existence
    and Stability of Equilibrium Points in
    the Restricted Problem
    Introduction
    2.2.1  Equations of motion
    2.2.2  Equilibrium points
    2.2.3  Critical Mass Ratio
    2.2.4  Conclusions
  2.3  Stability of the Triangular Points when
    the Bigger Primary is an Oblate Spheroid
    Introduction
    2.3.1  Equations of Motion
    2.3.2  Equilibrium Points
    2.3.3  Critical Mass Ratio and Stability
    of Triangular Points
    2.3.4  Conclusions
  2.4  Photo-gravitational Restricted
    Three-Body Problem
    Introduction
    2.4.1  Equations of Motion
    2.4.2  Location of Equilibrium Points
    2.4.3  Stability of Equilibrium Points
  2.5  Effect of Perturbed Potentials on the
    Stability of Equilibrium Points in the
    Restricted Problem
    Introduction
    2.5.1  Perturbed Potential and the Mean Motion of the Primaries
    2.5.2  Equations of Motion
    2.5.3  Location of Equilibrium Points
    2.5.4  Stability of Equilibrium Points
    2.5.5  Applications
Chapter 3 EFFECT OF PERTURBATIONS ON THE

   NON-LINEAR STABILITY OF EQUILIBRIUM POINTS OF
   RESTRICTED PROBLEM
    Introduction
  3.1  Effect of Perturbations in Coriolis and
    Centrifugal Forces on the Non-Linear
    Stability of Equilibrium Points in the
    Restricted Three Problem
    Introduction
    3.1.1  First Order Normalization
    3.1.2  Second Order Normalization
    3.1.3  Second Order Coefficients in the Frequencies
    3.1.4  Stability
    3.1.5  Conclusion
  3.2  Effect of Oblateness on the Non-Linear
    Stability of Triangular Equilibrium Point
    L4 in the Restricted Problem Introduction
    3.2.1  Equations of Motion and Non-Linear Stability
    3.2.2  Conclusions
  3.3  Non-Linear Stability in the Generalized
    Restricted Three-Body Problem
    3.3.1  Conclusions
Chapter 4 EFFECT OF TRIAXIALITY OF THE
   PRIMARIES ON THE EXISTENCE AND
   STABILITY OF EQUILIBRIUM POINTS
   IN THE RESTRICTED THREE-BODY
   PROBLEM
    Introduction
  4.1  Existence and Stability of Equilibrium
    points in the Restricted Three-Body
    Problem when the Smaller Primary
    is a Triaxial Rigid Body
    Introduction
    4.1.1  Equations of Motion
    4.1.2  Location of Equilibrium Points
    4.1.3  Stability of Equilibrium Points
    4.1.4  Conclusions
  4.2  Existence and Stability of Equilibrium
   Points in the Restricted three-Body
   Problem When the Smaller Primary
   is a Triaxial Rigid Body and the Bigger
   one an Oblate Spheroid
   Introduction
    4.2.1  Equations of Motion
    4.2.2  Location of Equilibrium Points
    4.2.3  Conclusion
  4.3  Existence and Stability of Equilibrium
   Points in the Restricted Three Body
   Problem When the Primaries are
   Triaxial Bodies
   Introduction

    4.3.1  Location of Equilibrium Points and the Critical Pass Ratio
    4.3.2  Conclusions
  4.4  The Non-Linear Stability of L4 in the
   Restricted Three-Body Problem when
   the Bigger Primary is a Triaxial Rigid Body
   Introduction
    4.4.1  Location of Triangular Point L4 and Lagrangian of the System
    4.4.2  Conclusions
  4.5  Non-Linear Stability of/-,4 in the
   Restricted Three Body Problem when
   the Bigger Primary is a Triaxial Rigid
   Body and a source of radiation or both
   the primaries are triaxial rigid bodies
    4.5.1  The Non-Linear Stability of L4 in the Restricted Three Body Problem When the bigger Primary is a Triaxial Rigid Body and source of radiation
    4.5.2  The Non-Linear Stability of L4 in the Restricted Three Body Problem When both the Primaries are Triaxial Rigid Bodies
   REFERENCES
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