Gravitational few-body dynamics : a numerical approach
By: Mikkola, Seppo.
Publisher: Cambridge Cambridge University Press 2020Description: xii, 244p.ISBN: 9781108491297.Subject(s): Celestial mechanics | Few-body problem | GravitationDDC classification: 530.14 | M589g 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.Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
Books | PK Kelkar Library, IIT Kanpur | General Stacks | 530.14 M589g (Browse shelf) | Available | A185883 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser
530.14 M134R RENORMALIZATION METHODS | 530.14 M319T TOPOLOGICAL SOLITONS | 530.14 M436GF COP.2 A GUIDE TO FEYNMAN DIAGRAMS IN THE MANY-BODY PROBLEM | 530.14 M589g Gravitational few-body dynamics | 530.14 M72 MODERN KALUZA-KLEIN THEORIES | 530.14 M778F2 FIELD THEORY HANDBOOK | 530.14 M975s Statistical field theory |
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.
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