Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Integrable Systems in Celestial Mechanics
.
Bookmark this Record
Catalogue Record 27179
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 27179
.
Reviews
Catalogue Record 27179
.
British Library
Resolver for RSN-27179
Google Scholar
Resolver for RSN-27179
WorldCat
Resolver for RSN-27179
Catalogo Nazionale SBN
Resolver for RSN-27179
GoogleBooks
Resolver for RSN-27179
ICTP Library
Resolver for RSN-27179
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
521 (DDC 22)
Title
Integrable Systems in Celestial Mechanics ([Ebook]) / by Diarmuid Ó Mathúna
Author
Ó Mathúna, Diarmuid
Other name(s)
SpringerLink (Online service)
Publication
Boston : Birkhäuser , 2008.
Physical Details
: online resource.
Series
Progress in Mathematical Physics
; 51
ISBN
9780817645953
Summary Note
This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, the latter being the more complex and more instructive, as it exhibits a richer and more varied solution structure. Further, because of the interesting investigations by the 20th century mathematical physicist J.P. Vinti, the Euler problem is now recognized as being intimately linked to the Vinti (Earth-satellite) problem. Here the analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions. A central feature is the detailed treatment of the planar Euler problem where the solutions are expressed in terms of Jacobian elliptic functions, yielding analytic representations for the orbits over the entire parameter range. This exhibits the rich and varied solution patterns that emerge in the Euler problem, which are illustrated in the appendix. A comparably detailed analysis is performed for the Earth-satellite (Vinti) problem. Key features: * Highlights shared features in the unified treatment of the Kepler, Euler, and Vinti problems * Raises challenges in analysis and astronomy, placing this trio of problems in the modern context * Includes a full analysis of the planar Euler problem * Highlights the complex and surprising orbit patterns that arise from the Euler problem * Provides a detailed analysis and solution for the Earth-satellite problem The analysis and results in this work will be of interest to graduate students in mathematics and physics (including physical chemistry) and researchers concerned with the general areas of dynamical systems, statistical mechanics, and mathematical physics and has direct application to celestial mechanics, astronomy, orbital mechanics, and aerospace engineering.:
Contents note
General Introduction -- The Kepler Problem (Two-Body Problem): the central Newtonian potential -- Bernoulli solution -- Features of the central Newtonian potential -- The Non-Central Newtonian Potential -- The Euler problem: two fixed centers of attraction -- The Vinti problem: earth-satellite theory -- Implications for perturbation theories -- Relativistic context -- Index.
System details note
Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-0-8176-4595-3
Links to Related Works
Subject References:
Applications of Mathematics
.
Differentiable dynamical systems
.
Dynamical systems and ergodic theory
.
Integrable systems
.
Mathematical Methods in Physics
.
Mathematical Physics
.
Mechanics
.
Statistical Physics
.
Authors:
Ó Mathúna, Diarmuid
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Progress in Mathematical Physics
.
Classification:
521 (DDC 22)
.
.
ISBD Display
Catalogue Record 27179
.
Tag Display
Catalogue Record 27179
.
Related Works
Catalogue Record 27179
.
Marc XML
Catalogue Record 27179
.
Add Title to Basket
Catalogue Record 27179
.
Catalogue Information 27179
Beginning of record
.
Catalogue Information 27179
Top of page
.
Download Title
Catalogue Record 27179
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
27179
1
27179
-
2
27179
-
3
27179
-
4
27179
-
5
27179
-
Quick Search
Search for