William Wiesel (Air Force Institute of Technology)
Keywords: Astrodynamics
Abstract:
In this paper we evaluate and compare two algorithms for the calculation of KAM tori in Hamiltonian systems. The direct fitting of a torus Fourier series to a numerically integrated trajectory is the first method, while an accelerated finite Fourier transform is the second method. The finite Fourier transform, with Hanning window functions, is by far superior in both computational loading and numerical accuracy. Some thoughts on applications of KAM tori are offered.
Date of Conference: September 16-19, 2008
Track: Astrodynamics