Resonances in the three-body problem with equal masses

Details Resonances in the three-body problem with equal masses Resonances in the three-body problem with equal masses

Feb 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011arep...55..174m&link_type=abstract

Astronomy Reports, Volume 55, Issue 2, pp.174-181

Astronomy and Astrophysics

Astronomy

Scientific paper

Numerical simulations of near-resonant motions occurring in planar rotating systems of three bodies with equal masses are presented for the cases of prograde and retrograde motions of the inner and outer pairs. The ratios n: m of the initial periods of these pairs are within 1 ≤ m ≤ n ≤ 7. It is shown that, as a rule, retrograde are more stable than prograde motions. The k loop structures oriented inwards for prograde and outwards for retrograde motions are revealed. Empirical relations between k and n are found for the main resonances n: 1 and n: 2.

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