Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1996
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| Schriftenreihe: | Astronomy and Astrophysics Library
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This textbook treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory making use of concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. The first volume begins with classical mechanics and with a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. They end with a final chapter on integrability of Hamilton-Jacobi systems and the search for constants of motion |
| Beschreibung: | 1 Online-Ressource (XIII, 392 p) |
| ISBN: | 9783662033197 9783642082108 |
| ISSN: | 0941-7834 |
| DOI: | 10.1007/978-3-662-03319-7 |
Internformat
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| 245 | 1 | 0 | |a Theory of Orbits |b Volume 1: Integrable Systems and Non-perturbative Methods |c by Dino Boccaletti, Giuseppe Pucacco |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1996 | |
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| 650 | 4 | |a Statistical Physics, Dynamical Systems and Complexity | |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 520 - Astronomy and allied sciences |
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| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik |
| doi_str_mv | 10.1007/978-3-662-03319-7 |
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| id | DE-604.BV042414231 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:54Z |
| institution | BVB |
| isbn | 9783662033197 9783642082108 |
| issn | 0941-7834 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027849724 |
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| physical | 1 Online-Ressource (XIII, 392 p) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer Berlin Heidelberg |
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| series2 | Astronomy and Astrophysics Library |
| spelling | Boccaletti, Dino Verfasser aut Theory of Orbits Volume 1: Integrable Systems and Non-perturbative Methods by Dino Boccaletti, Giuseppe Pucacco Berlin, Heidelberg Springer Berlin Heidelberg 1996 1 Online-Ressource (XIII, 392 p) txt rdacontent c rdamedia cr rdacarrier Astronomy and Astrophysics Library 0941-7834 This textbook treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory making use of concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. The first volume begins with classical mechanics and with a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. They end with a final chapter on integrability of Hamilton-Jacobi systems and the search for constants of motion Physics Physical geography Astrophysics Astronomy, Observations and Techniques Statistical Physics, Dynamical Systems and Complexity Extraterrestrial Physics, Space Sciences Geophysics/Geodesy Pucacco, Giuseppe Sonstige oth https://doi.org/10.1007/978-3-662-03319-7 Verlag Volltext |
| spellingShingle | Boccaletti, Dino Theory of Orbits Volume 1: Integrable Systems and Non-perturbative Methods Physics Physical geography Astrophysics Astronomy, Observations and Techniques Statistical Physics, Dynamical Systems and Complexity Extraterrestrial Physics, Space Sciences Geophysics/Geodesy |
| title | Theory of Orbits Volume 1: Integrable Systems and Non-perturbative Methods |
| title_auth | Theory of Orbits Volume 1: Integrable Systems and Non-perturbative Methods |
| title_exact_search | Theory of Orbits Volume 1: Integrable Systems and Non-perturbative Methods |
| title_full | Theory of Orbits Volume 1: Integrable Systems and Non-perturbative Methods by Dino Boccaletti, Giuseppe Pucacco |
| title_fullStr | Theory of Orbits Volume 1: Integrable Systems and Non-perturbative Methods by Dino Boccaletti, Giuseppe Pucacco |
| title_full_unstemmed | Theory of Orbits Volume 1: Integrable Systems and Non-perturbative Methods by Dino Boccaletti, Giuseppe Pucacco |
| title_short | Theory of Orbits |
| title_sort | theory of orbits volume 1 integrable systems and non perturbative methods |
| title_sub | Volume 1: Integrable Systems and Non-perturbative Methods |
| topic | Physics Physical geography Astrophysics Astronomy, Observations and Techniques Statistical Physics, Dynamical Systems and Complexity Extraterrestrial Physics, Space Sciences Geophysics/Geodesy |
| topic_facet | Physics Physical geography Astrophysics Astronomy, Observations and Techniques Statistical Physics, Dynamical Systems and Complexity Extraterrestrial Physics, Space Sciences Geophysics/Geodesy |
| url | https://doi.org/10.1007/978-3-662-03319-7 |
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