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astro-ph.GA2015★ 2 cited
Practical application of KAM theory to galactic dynamics: I. Motivation and methodology
Martin D. Weinberg
Our understanding of the mechanisms governing the structure and secular evolution galaxies assume nearly integrable Hamiltonians with regular orbits; our perturbation theories are…
astro-ph.GA2015★ 1 cited
Practical application of KAM theory to galactic dynamics: II. Application to weakly chaotic orbits in barred galaxies
Martin D. Weinberg
Owing to the pioneering work of Contopoulos, a strongly barred galaxy is known to have irregular orbits in the vicinity of the bar. By definition, irregular orbits can not be repre…