11. Types of Perturbations

Victor R. Bond; Mark C. Allman

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11. Types of Perturbations

Victor R. Bond and Mark C. Allman

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Bond, Victor R. and Allman, Mark C.. "11. Types of Perturbations". Modern Astrodynamics: Fundamentals and Perturbation Methods, Princeton: Princeton University Press, 2021, pp. 198-214. https://doi.org/10.1515/9780691223902-012

Bond, V. & Allman, M. (2021). 11. Types of Perturbations. In Modern Astrodynamics: Fundamentals and Perturbation Methods (pp. 198-214). Princeton: Princeton University Press. https://doi.org/10.1515/9780691223902-012

Bond, V. and Allman, M. 2021. 11. Types of Perturbations. Modern Astrodynamics: Fundamentals and Perturbation Methods. Princeton: Princeton University Press, pp. 198-214. https://doi.org/10.1515/9780691223902-012

Bond, Victor R. and Allman, Mark C.. "11. Types of Perturbations" In Modern Astrodynamics: Fundamentals and Perturbation Methods, 198-214. Princeton: Princeton University Press, 2021. https://doi.org/10.1515/9780691223902-012

Bond V, Allman M. 11. Types of Perturbations. In: Modern Astrodynamics: Fundamentals and Perturbation Methods. Princeton: Princeton University Press; 2021. p.198-214. https://doi.org/10.1515/9780691223902-012

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Chapters in this book

Frontmatter i
Contents v
Preface ix
I. Fundamentals
1. Background 1
2. The Two-Body Problem 12
3. Kepler's Laws 31
4. Methods of Computation 40
5. The f and g Functions 58
6. Two-Point Boundary Value Problems 81
7. Applications 91
II. Perturbation Methods
8. Perturbation Theory 115
9. Special Perturbation Methods 147
10. Runge-Kutta Methods 184
11. Types of Perturbations 198
Appendixes
A. Coordinate Transformations 215
B. Hyperbolic Motion 225
C. Conic Sections 230
D. Transfer-Angle Resolution 233
E. Stumpff Functions 236
F. Orbit Geometry 239
References 243
Index 247

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https://doi.org/10.1515/9780691223902-012

Chapters in this book

Frontmatter i
Contents v
Preface ix
I. Fundamentals
1. Background 1
2. The Two-Body Problem 12
3. Kepler's Laws 31
4. Methods of Computation 40
5. The f and g Functions 58
6. Two-Point Boundary Value Problems 81
7. Applications 91
II. Perturbation Methods
8. Perturbation Theory 115
9. Special Perturbation Methods 147
10. Runge-Kutta Methods 184
11. Types of Perturbations 198
Appendixes
A. Coordinate Transformations 215
B. Hyperbolic Motion 225
C. Conic Sections 230
D. Transfer-Angle Resolution 233
E. Stumpff Functions 236
F. Orbit Geometry 239
References 243
Index 247

11. Types of Perturbations

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Chapters in this book

Chapters in this book