Gravitational Few-Body Dynamics - A Numerical Approach

This introduction to the few-body problem progresses from two-body motion and classical planetary dynamics to modern numerical methods.

List of 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.

About the author

Seppo Mikkola is a senior lecturer at the University of Turku, Finland, and staff member at Tuorla Observatory. He has made important contributions to the regularization of equations of N-body motion. Since he invented 'algorithmic regularization' of few-body system dynamics, it has become the foundation of many simulations worldwide.

Summary

In this introduction to the few-body problem, a key figure in developing more efficient methods over the past few decades summarizes and explains them, covering both basic analytical formulations and numerical methods. Mikkola explains this methodology for graduate students and researchers in astronomy, celestial mechanics, and stellar dynamics.

Product details

• Authors: Seppo Mikkola, Seppo (University of Turku Mikkola
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.06.2020
• EAN: 9781108491297
• ISBN: 978-1-108-49129-7
• No. of pages: 252
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Astrophysics, SCIENCE / Physics / Astrophysics, Differential calculus & equations, Integral calculus & equations, Mathematical modelling, Differential calculus and equations, Integral calculus and equations