Stability Regions and Quasi-Periodic Motion in the Vicinity of Triangular Equilibrium Points

Details Stability Regions and Quasi-Periodic Motion in the Vicinity of Triangular Equilibrium Points Stability Regions and Quasi-Periodic Motion in the Vicinity of Triangular Equilibrium Points

Apr 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..67..251r&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 67, Issue 4, pp.251-274

Astronomy and Astrophysics

Astronomy

1

Restricted Problem, Triangular Points, Non-Symmetric Periodic Orbits, Stability Regions, Quasi-Periodic Orbits, Invariant Curves, Invariant Curves.

Scientific paper

The regions of quasi-periodic motion around non-symmetric periodic orbits in the vicinity of the triangular equilibrium points are studied numerically. First, for a value of the mass parameter less than Routh's critical value, the stability regions determined by quasi-periodic motion are examined around the existing families of short (Ls 4) and long (Ll 4) period solutions. Then, for two values of µ greater than the Routh value, the unified family Lsl 4, to which, in these cases, Ls 4 and Ll 4 merge, is considered. It is found that such regions surround in general the linearly stable segments of the corresponding families and become smaller as the mass ratio increases.

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