Contents

Chapters in this book

1. Frontmatter I
2. Preface V
3. Contents IX
4. 1 Introduction 1
5. Part I: Hamiltonian perturbations by Lie transforms
6. 2 The method of Lie transforms 29
7. 3 Application to integrable problems 45
8. Part II: Perturbed elliptic motion: Artificial satellite theory
9. 4 The Kepler problem 77
10. 5 The main problem of the artificial satellite 92
11. 6 Zonal perturbations 124
12. 7 Tesseral perturbations 176
13. 8 Lunisolar perturbations 203
14. 9 Non-conservative effects 235
15. Part III: Relative motion and perturbed non-Keplerian motion
16. 10 The Hill problem 253
17. 11 Motion inside Hill’s sphere 265
18. 12 Motion about the libration points 295
19. 13 Quasi-satellite orbits 313
20. Bibliography 337
21. Index 371