Browsing Articles, congressos, llibres by Author "International Symposium Hamiltonian Systems and Celestial Mechanics ( 3er : Mèxic : 1998)"

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2-Dimensional invariant tori for the spatial isosceles 3-body problem

Corbera Subirana, Montserrat; Llibre, Jaume (World Scientific Publishing, 2000)

We consider the circular Sitnikov problem as a special case of the restricted spatial isosceles 3-body problem. In appropriate coordinates we show the existence of 2-dimensional invariant tori that are formed by union of ...
Central configurations of nested regular polyhedra for the spatial 2n–body problem

Corbera Subirana, Montserrat; Llibre, Jaume (ElsevierWorld scientific Publishing, 2008)

We consider 2n masses located at the vertices of two nested regular polyhedra with the same number of vertices. Assuming that the masses in each polyhedron are equal, we prove that for each ratio of the masses of the ...

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