A compact model for the planar rhomboidal 4-body problem

Details A compact model for the planar rhomboidal 4-body problem A compact model for the planar rhomboidal 4-body problem

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..54..343l&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 54, no. 4, p. 343-355.

Mathematics

Dynamical Systems

3

Center Of Mass, Equations Of Motion, Hamiltonian Functions, Many Body Problem, Dynamical Systems, Rhomboids

Scientific paper

A compact model is developed for the global study of the planar rhomboidal four-body problem in a level of constant negative energy, which is a variation of the noncompact model of Delgado and Perez-Chavela (1991) obtained though the blow-up technique of McGehee (1974). It is shown that the two models are equivalent as dynamical systems. However, the compact model makes it possible to obtain results which are not clear in the Delgado and Perez-Chavela model.

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