Geodesic
Bifurcations in the two imaginary centers problem
Mathematica Bohemica, Tome 136 (2011) no. 4, pp. 405-414

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MR Zbl
In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology of the phase space occurs.
In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology of the phase space occurs.
DOI : 10.21136/MB.2011.141700
Classification : 37G10, 37G99
Keywords: bifurcation; topological configuration; orbital structure 
Chiralt, Cristina; Campos, Beatriz; Vindel, Pura. Bifurcations in the two imaginary centers problem. Mathematica Bohemica, Tome 136 (2011) no. 4, pp. 405-414. doi: 10.21136/MB.2011.141700
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[1] Pars, L. A.: A Treatise on Analytical Dynamics. Heinemann, London (1965). | Zbl

[2] Beletsky, U. V.: Essays on the Motion of Celestial Bodies. Birkhäuser (2001). | MR | Zbl

[3] Cordero, A., Alfaro, J. Martínez, Vindel, P.: Topology of the two fixed centres problem. Celestial Mechanics and Dynam. Astron. 82 (2002), 203-223. | DOI | MR

[4] Campos, B., Alfaro, J. Martínez, Vindel, P.: Periodic orbit structure of the two fixed centres problem. Proc. of the Third International Workshop on Positional Astronomy and Celestial Mechanics. Ed. A. López et al. (1996).

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