Vertical bifurcation families from the long and short period families around the equilateral equilibrium points

Details Vertical bifurcation families from the long and short period families around the equilateral equilibrium points Vertical bifurcation families from the long and short period families around the equilateral equilibrium points

Jul 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cemda.101..309h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 101, Issue 3, pp.309-320

Astronomy and Astrophysics

Astronomy

3

Restricted Three-Body Problem, Equilateral Equilibrium Point, Periodic Orbit, Bifurcation

Scientific paper

In this paper, following the increase of the mass ratio μ, the vertical stability curves of the long and the short period families were studied, and the vertical bifurcation families from these two families were computed. It is found that these vertical bifurcation families connect the long and short period families with the spatial periodic family emanating from the equilateral equilibrium points. The evolution details of these vertical bifurcation families were carefully studied and they are found to be similar to the planar bifurcation families connecting the long period family with the short period family in the planar case.

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