Publicación: A GLOBAL REGULARIZATION FOR THE (N+1)-BODY PROBLEM WITH THE PRIMARIES IN A REGULAR N-GON CENTRAL CONFIGURATION
Fecha
2015
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QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
Resumen
IN THE PRESENT PAPER, WE CONSIDER THE RESTRICTED PLANAR(N +1)-BODY PROBLEM WHERE N = 3 BODIES (CALLED PRIMARIES) INTERACTING WITH ONE ANOTHER ACCORDING TO NEWTONIAN LAW WHICH ARE IN THE VERTICES OF A REGULAR N-GON WITH THE ORIGIN AT THE CENTER OF MASSES OF THE COORDINATE SYSTEM. WE PROVE THAT THE SIMULTANEOUS BINARY
COLLISION BETWEEN THE INFINITESIMAL MASS AND ANY PRIMARY ARE REGULARIZABLE, THROUGH THE IMPLEMENTATION OF BIRKHOFF-TYPE TRANSFORMATION
