http://arxiv.org/abs/1909.03299
We present a global analysis of the center manifold of the collinear points in the circular restricted three-body problem. The phase-space structure is provided by a family of resonant 2-DOF Hamiltonian normal forms. The near 1:1 commensurability leads to the construction of a detuned Birkhoff-Gustavson normal form. The bifurcation sequences of the main orbit families are investigated by a geometric theory based on the reduction of the symmetries of the normal form, invariant under spatial mirror symmetries and time reversion. This global picture applies to any values of the mass parameter.
G. Pucacco
Tue, 10 Sep 19
76/80
Comments: Paper included in the Topical Collection for the 50th birthday of CM&DA, 19 pages, 7 figures