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Perturbation theory

  • A. I. Lurie
Chapter
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

Along with the given system of equations of motion
$$ \dot q_s = \frac{{\partial H}} {{\partial p_s }},{\mkern 1mu} \dot p_s = - \frac{{\partial H}} {{\partial q_s }} + Q_s {\mkern 1mu} \left( {s = {\mkern 1mu} 1, \ldots ,{\mkern 1mu} n} \right)$$
(11.1.1)
we consider an auxiliary (simplified) canonical system
$$ \dot q_s = \frac{{\partial H_0 }} {{\partial p_s }},{\mkern 1mu} \dot p_s {\mkern 1mu} = {\mkern 1mu} - \frac{{\partial H_0 }} {{\partial q_s }}{\mkern 1mu} \left( {s{\mkern 1mu} = {\mkern 1mu} 1, \ldots ,{\mkern 1mu} n} \right).$$
(11.1.2)

Keywords

Perturbation Theory Circular Orbit Hamiltonian Function Covariant Component Canonical Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • A. I. Lurie

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