Springer Book Archives: eBooks only 8.99 each! Save now >>

History of Modern Physics and Astronomy
cover

New Methods of Celestial Mechanics

Authors: Poincare, Henri

Editors: Goroff, David (Ed.)

Buy this book

Hardcover 259,99 €
price for Spain (gross)
  • ISBN 978-1-56396-117-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

 Edited by Daniel Goroff, Harvard University This English-language edition of Poincare's landmark work is of interest not only to historians of science, but also to mathematicians. Beginning from an investigation of the three-body problem of Newtonian mechanics, Poincare lays the foundations of the qualitative solutions of differential equations. To investigate the long-unsolved problem of the stability of the Solar System, Poincare invented a number of new techniques including canonical transformations, asymptotic series expansions, and integral invariants. These "new methods" are even now finding applications in chaos and other contemporary disciplines. Contents: Volume I: Periodic and asymptotic solutions: Introduction by Daniel Goroff. Generalities and the Jacobi method. Series integration. Periodic solutions. Characteristic exponents. Nonexistence of uniform integrals. Approximate development of the perturbative function. Asymptotic solutions. Volume II: Approximations by series: Formal calculus. Methods of Newcomb and Lindstedt. Application to the study of secular variations. Application to the three-body problem. Application to orbits. Divergence of the Lindstedt series. Direct calculation of the series. Other methods of direct calculation. Gylden methods. Case of linear equations. Bohlin methods. Bohlin series. Extension of the Bohlin method. Volume III: Integral invariants and asymptotic properties of certain solutions: Integral invariants. Formation of invariants. Use of integral invariants. Integral invariants and asymptotic solutions. Poisson stability. Theory of consequents. Periodic solutions of the second kind. Different forms of the principle of least action.

Buy this book

Hardcover 259,99 €
price for Spain (gross)
  • ISBN 978-1-56396-117-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules

Services for this Book

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
New Methods of Celestial Mechanics
Authors
Editors
  • David Goroff
Series Title
History of Modern Physics and Astronomy
Series Volume
13
Copyright
1992
Publisher
AIP-Press
Copyright Holder
American Institute of Physics
Hardcover ISBN
978-1-56396-117-5
Edition Number
1
Number of Pages
LXXXIII, 1096
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.