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Celestial Dynamics: Chaoticity and Dynamics of Celestial Systems

E-Book

CAD $149.99

Celestial Dynamics: Chaoticity and Dynamics of Celestial Systems

Rudolf Dvorak, Christoph Lhotka

ISBN: 978-3-527-65187-0 August 2013 320 Pages

Description

Written by an internationally renowned expert author and researcher, this monograph fills the need for a book conveying the sophisticated tools needed to calculate exo-planet motion and interplanetary space flight. It is unique in considering the critical problems of dynamics and stability, making use of the software Mathematica, including supplements for practical use of formulae.

From the Contents:

  • The challenge of science
  • Hamiltonian mechanics
  • Numerical and analytical tools
  • The stability problem
  • The two-body problem
  • The restricted three-body problem
  • The sitnikov problem
  • Planetary theory
  • Resonances
  • Lunar theory

“All books have a strong personal component in the topics that one chooses to include or not in it. ‘Celestial Dynamics’, by Dvorak and Lhotka, is not an exception to the rule. It is a portrait of the choices made by the AstroDynamicsGroup of the University of Vienna, and even of the former group of Dvorak’s students at the University of Graz. We find highlighted in the book, all the subjects they privileged in these 30 years, from the Lie Series Integrator to the Trojan asteroids, and whose development we can follow looking at their papers and, in particular, at the series of publications of the Humboldt Colloquia in Celestial Mechanics organized in Austria since 1984. Whereas many chapters are of immediate practical use, others include recent mathematical developments related to stability of dynamical systems in general.”
(Prof. Ferraz-Mello, Sao Paulo)

Introduction: The challenge of science
Hamiltonian mechanics
Numerical and Analytical tools
The stability problem
The two-body problem
The restricted three- body problem
The Sitnicov problem
Planetary problem
Resonances
Lunar theory
Concluding remarks

“In summary, despite the omissions mentioned above, this book is an interesting addition to the subject because the presentation is systematic and self-contained, and it contains a valuable material that would be useful to postgraduate students interested in the field and also to some people working in celestial mechanics.”  (Zentralblatt MATH, 1 March 2014)