Chaos on Invariant Double-Tori

Details Chaos on Invariant Double-Tori Chaos on Invariant Double-Tori

Sep 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998dda....30.0604v&link_type=abstract

American Astronomical Society, DDA meeting #30, #06.04; Bulletin of the American Astronomical Society, Vol. 30, p.1143

Astronomy and Astrophysics

Astronomy

Scientific paper

While the 3:1 commensurability in the planar elliptic three body problem has been extensively studied, it can still exhibit unexpected behavior. Direct integrations of the equations of motion reveal the existence of closed homoclinic loops attached to a periodic orbit. Near these loops the motion is chaotic but it also appears to be confined to branched invariant surfaces, namely double-tori.

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