Abstract
In this paper we study the Two Fixed Centres problem from a different point of view. To study this problem we introduce two new Hamiltonian functions, solving their equations separately and building the global solution imposing the condition that both functions are opposite for a given value of the energy. We also analyze its orbital structure in the physical space and it is shown that different regions of motion are delimited by limit curves corresponding to the fixed point of the new Hamiltonian functions.
Keywords
Referencia
A. Cordero, P. Vindel, J. MartÃnez Alfaro (1996): Study of the orbits in the two fixed centres problem. Proceedings of the 4th International workshop on positional astronomy and celestial mechanics 87-94. Organized by the Astronomical Observatory of the University of Valencia at PeñÃscola.