Chaos in Planar, Circular, Restricted Three-Body Problem

Jan Vrbik^{*}

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References

[1] J. Henrard and N. D. Caranicolas, “Motion near the 3/1 Resonance of the Planar Elliptic Restricted Three Body Problem,” Celestial Mechanics and Dynamical Astronomy, Vol. 47, No. 2, 1989, pp. 99-121.
doi:10.1007/BF00051201

[2] C. D. Murray and S. F. Dermott, “Solar System Dynamics,” Cambridge University Press, Cambridge, 1999.

[3] N. Haghighipour, “Resonance Dynamics and Partial Averaging in a Restricted Three-Body System,” Journal of Mathematical Physics, Vol. 43, No. 7, 2002, pp. 3678-3694. doi:10.1063/1.1482148

[4] J. Vrbik, “New Methods of Celestial Mechanics,” Bentham Science Publishers, Sharjah, 2010.

[5] A. Celletti, A. Chessa, J. Hadjidemetriou and G. B. Valsecchi, “A Systematic Study of the Stability of Symmetric Periodic Orbits in the Planar, Circular, Restricted Three-Body Problem,” Celestial Mechanics and Dynamical Astronomy, Vol. 83, No. 1-4, 2002, pp. 239-255.
doi:10.1023/A:1020111621542

[6] J. Vrbik, “Kepler Problem with Time-Dependent and Resonant Perturbations,” Journal of Mathematical Physics, Vol. 48, No. 5, 2007, pp. 1-13.
doi:10.1063/1.2729369