Introduction to perturbation theory
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Perturbation theory consists of a very useful collection of methods for finding approximate solutions of “perturbed” problems which are close to completely solvable “unperturbed” problems. These methods can be easily justified if we are investigating motion over a small interval of time. Relatively little is known about how far we can trust the conclusions of perturbation theory in investigating motion over large or infinite intervals of time.
KeywordsPerturbation Theory Action Variable Periodic Motion Symplectic Manifold Trigonometric Polynomial
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