higher order resonances in the second fundamental mode of resonance b. Érdi astronomy department...
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Higher order resonances
in the second fundamental mode of resonance
B. Érdi
Astronomy Department
Eötvös University
5th Austrian-Hungarian Workshop on Celestial Mechanics
Wien, April 8-10, 2010
The second fundamental mode of resonance:
Henrard, Lemaitre (1983)
Murray, Dermott (1995)
capture into resonance
passage through resonance
Action, angle variables:
Series of librational trajectories:
the variation of e is small
amplitude of libration:
not much change
amplitude of libration:
case of exact resonance:
libration exists for all e
leaving the resonance,
libration exist above certain
values of e