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This paper is devoted to clarify the algorithmic definition of the weak stability boundary in the framework of the planar Restricted Three Body Problem. The role of the invariant hyperbolic manifolds associated to the central manifolds of the libration points L 1 and L 2 , as boundary of the weak stability region, is shown.
To Henri Poincaré on the 150th anniversary of his birth. Abstract. The title of this paper is inspired by the work of Poincaré [1890, 1892], who introduced many key dynamical systems methods during his research on celestial mechanics and especially the three body problem. Since then, many researchers have contributed to his legacy by developing and applying… (More)
We report on a search for the trilepton decay signature from the associated production of supersymmetric gaugino pairs, ˜ x 6 1 ˜ x 0 2 , within the context of minimal supersymmetric models that conserve R parity. This search uses 95 pb 21 of p ¯ p data taken at p s 1.8 TeV with the D0 detector. No evidence of a trilepton signature has been found, and a… (More)