The Four to One Resonance

Details The Four to One Resonance The Four to One Resonance

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..24..355c&link_type=abstract

Celestial Mechanics, Volume 24, Issue 4, pp.355-366

Computer Science

15

Scientific paper

We study the resonance ω1∶ω2 = 4∶1 and some near-resonance cases. The main peculiarity of this resonance is that for ω1∶ω2 < 4 the characteristic of the central periodic orbits is broken into two and each part is joined with a resonant characteristic. This behaviour is described theoretically by means of the ‘third’ integral. It seems that there are infinite families of simple periodic orbits near the escape region. Finally, a comparison is made with the cases near the ω1∶ω2 = 2∶1 resonance.

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