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| 003 - CONTROL NUMBER IDENTIFIER |
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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20140310152327.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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100304s2010 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540851462 |
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978-3-540-85146-2 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QB495-500.269 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
520 |
| Edition number |
23 |
|
|---|
| Classification number |
500.5 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Berlin, Heidelberg : |
| -- |
Springer Berlin Heidelberg, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-EES |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Celletti, Alessandra. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Stability and Chaos in Celestial Mechanics |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Alessandra Celletti. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Springer Praxis Books |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Order and chaos -- Numerical dynamical methods -- Kepler’s problem -- The three-body problem and the Lagrangian solutions -- Rotational dynamics -- Perturbation theory -- Invariant tori -- Long-time stability -- Determination of periodic orbits -- Regularization theory. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This book presents classical celestial mechanics and its interplay with dynamical systems in a way suitable for advance level undergraduate students as well as postgraduate students and researchers. First paradigmatic models are used to introduce the reader to the concepts of order, chaos, invariant curves, cantori. Next the main numerical methods to investigate a dynamical system are presented. Then the author reviews the classical two-body problem and proceeds to explore the three-body model in order to investigate orbital resonances and Lagrange solutions. In rotational dynamics the author details the derivation of the rigid body motion, and continues by discussing related topics, from spin-orbit resonances to dumbbell satellite dynamics. Perturbation theory is then explored in full detail including practical examples of its application to finding periodic orbits, computation of the libration in longitude of the Moon. The main ideas of KAM theory are provided including a presentation of long-term stability and converse KAM results. Celletti then explains the implementation of computer-assisted techniques, which allow the user to obtain rigorous results in good agreement with the astronomical expectations. Finally the study of collisions in the solar system is approached. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Physics. |
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| Topical term or geographic name as entry element |
Mathematical physics. |
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| Topical term or geographic name as entry element |
Mechanics. |
|
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| Topical term or geographic name as entry element |
Astrophysics. |
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| Topical term or geographic name as entry element |
Physics. |
|
|---|
| Topical term or geographic name as entry element |
Extraterrestrial Physics, Space Sciences. |
|
|---|
| Topical term or geographic name as entry element |
Astrophysics and Astroparticles. |
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| Topical term or geographic name as entry element |
Mechanics. |
|
|---|
| Topical term or geographic name as entry element |
Statistical Physics, Dynamical Systems and Complexity. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783540851455 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-540-85146-2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
