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Titlebook: New Advances in Celestial Mechanics and Hamiltonian Systems; HAMSYS-2001 J. Delgado,E. A. Lacomba,E. Pérez-Chavela Conference proceedings 2

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Horseshoe Periodic Orbits in the Restricted Three Body Problem,val (3, C.) (where C. is the value of . at the collinear equilibrium point ..). We describe the existence of families of horseshoe periodic orbits when varying the mass parameter and the Jacobi constant. The relation between such orbits and the invariant manifolds of the Lyapunov families of periodi
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Instability of Periodic Orbits in the Restricted Three Body Problem,iodic solutions, and the stability type of periodic solutions determined by these methods. For example, elliptic stable periodic solutions of convex Hamiltonian systems, or characteristics of surfaces bounding a convex interior, have been shown to exist globally [5].
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Non-Holonomic Systems with Symmetry Allowing a Conformally Symplectic Reduction,. If enough symmetries transversal to the constraints are present, the system reduces to a nondegenerate almost-Poisson structure on a “compressed” space. Here we show, in the simplest non-holonomic systems, that in favorable circumnstances the compressed system is conformally symplectic, although t
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