Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 The Problems
- 2 Two-Body Motion
- 3 Analytical Tools
- 4 Variation of Parameters
- 5 Numerical Integration
- 6 Symplectic Integration
- 7 KS-Regularization
- 8 Algorithmic Regularization
- 9 Motion in the Field of a Black Hole
- 10 Artificial Satellite Orbits
- References
- Index
3 - Analytical Tools
Published online by Cambridge University Press: 06 April 2020
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 The Problems
- 2 Two-Body Motion
- 3 Analytical Tools
- 4 Variation of Parameters
- 5 Numerical Integration
- 6 Symplectic Integration
- 7 KS-Regularization
- 8 Algorithmic Regularization
- 9 Motion in the Field of a Black Hole
- 10 Artificial Satellite Orbits
- References
- Index
Summary
This chapter discusses the basic concepts in many-body dynamics.From the Lagrangian, Hamiltonian, canonical transformations and time transformations to Hamilton-Jacobi equations. This content can be found in most classical dynamics textbooks
- Type
- Chapter
- Information
- Gravitational Few-Body DynamicsA Numerical Approach, pp. 35 - 42Publisher: Cambridge University PressPrint publication year: 2020