The Rhomboidal Charged Four Body Problem

Details The Rhomboidal Charged Four Body Problem The Rhomboidal Charged Four Body Problem

Oct 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000hscm.conf....1a&link_type=abstract

HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS (HAMSYS-98). Proceedings of the III International Symposium. Held 7-11 December 1998

Physics

1

Scientific paper

The rhomboidal charged problem consists in studying the dynamics of four point particles endowed with masses and electrostatic charges moving symmetrically along the diagonals of a rhombus. By using blow up procedures we describe the asymptotic behavior of total collapse orbits for different values of parameters depending on the masses and charges of the particles. We study how the shape of the potential function plays a main role in the dynamics. On the particular level of energy h = 0 we are able to give the global flow in this model.

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