The Symmetric Horseshoe Periodic Families and the Lyapunov Planar Family around L 3

Details The Symmetric Horseshoe Periodic Families and the Lyapunov Planar Family around L 3 The Symmetric Horseshoe Periodic Families and the Lyapunov Planar Family around L 3

Jul 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aj....136...67h&link_type=abstract

The Astronomical Journal, Volume 136, Issue 1, pp. 67-75 (2008).

Astronomy and Astrophysics

Astronomy

1

Celestial Mechanics

Scientific paper

In this paper, following the increase of the mass ratio μ, the genealogy of the symmetric horseshoe periodic families is studied. Some symmetric horseshoe periodic families are found to be bridges connecting two bifurcation orbits in the Lyapunov planar family which emanates from the collinear libration point L 3, but some are not. The structures of these families change with the mass ratio μ. The evolution details are studied, and some conjectures are proposed.

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