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math.DS2016
On the co--existence of maximal and whiskered tori for the planetary three--body problem
Gabriella Pinzari
In this paper we discuss about the possibility of {\it coexistence} of stable and unstable quasi--periodic {\sc kam} tori in a region of phase space of the three-body problem. The…
math.DS2016
A first integral to the partially averaged Newtonian potential of the three-body problem
Gabriella Pinzari
We consider the partial average i.e., the Lagrange average with respect to {\it just one} of the two mean anomalies, of the Newtonian part of the perturbing function in the three--…