Perturbation Theory of Tori Without Complete Fourier Expansion

Details Perturbation Theory of Tori Without Complete Fourier Expansion Perturbation Theory of Tori Without Complete Fourier Expansion

Apr 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cemda..70..271v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 70, Issue 4, p. 271-278 (1998).

Astronomy and Astrophysics

Astronomy

2

Perturbation Theory, Averaging, Normal Forms, Lie Series

Scientific paper

Perturbation theory of tori involves solving a first order partial differential equation, the so-called homological equation. The usual complete Fourier expansions employed in its solution can be replaced by partial ones. The alternative solution so obtained is expressed in terms of integrals and without any explicit reference to trigonometric functions. Application to second order averaging is also discussed.

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