Gravitational few-body dynamics : a numerical approach / Seppo Mikkola.

Format:

Book

Author/Creator:

Mikkola, Seppo, 1947- author.

Language:

English

Subjects (All):

Few-body problem.

Gravitation.

Celestial mechanics.

Physical Description:

1 online resource (xii, 244 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2020.

Summary:

Using numerical integration, it is possible to predict the individual motions of a group of a few celestial objects interacting with each other gravitationally. 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. The mathematics required for celestial mechanics and stellar dynamics is explained, starting with two-body motion and progressing through classical methods for planetary system dynamics. This first part of the book can be used as a short course on celestial mechanics. The second part develops the contemporary methods for which the author is renowned - symplectic integration and various methods of regularization. This volume explains the methodology of the subject for graduate students and researchers in celestial mechanics and astronomical dynamics with an interest in few-body dynamics and the regularization of the equations of motion.

Contents:

The problems

Two-body motion

Analytical tools

Variation of parameters

Numerical integration

Symplectic integration

KS-regularization

Algorithmic regularization

Motion in the field of a black hole

Artificial satellite orbits.

Notes:

Title from publisher's bibliographic system (viewed on 08 Apr 2020).

Includes bibliographical references and index.

ISBN:

1-108-87139-9

1-108-85796-5

1-108-86810-X