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
7 - KS-Regularization
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
The main theme in this chapter is Algorithmic Regularization.The procedures in this are the {Logarithmic Hamiltonian (LogH)} and the {Time Transformed Leapfrog (TTL)}, in both of which the use of {\bf leapfrog is compulsory for regularization}. In addition to this, auxiliary variables for velocity dependent perturbations are specified.
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- Gravitational Few-Body DynamicsA Numerical Approach, pp. 143 - 172Publisher: Cambridge University PressPrint publication year: 2020