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Modeling Trojan dynamics: diffusion mechanisms through resonances

Published online by Cambridge University Press:  05 January 2015

Rocío I. Páez
Affiliation:
Dip. di Matematica, Universitá di Roma “Tor Vergata”, Italy
Christos Efthymiopoulos
Affiliation:
Research Center for Astronomy and Applied Mathematics, Academy of Athens, Greece emails: [email protected], [email protected]
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Abstract

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In the framework of the ERTBP, we study an example of the influence of secondary resonances over the long term stability of Trojan motions. By the integration of ensembles of orbits, we find various types of chaotic diffusion, slow and fast. We show that the distribution of escape times is bi-modular, corresponding to two populations of short and long escape times. The objects with long escape times produce a power-law tail in the distribution.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2014 

References

Arnold, V. I., 1964, Sov. Math. Dokr., 5, 581Google Scholar
Chirikov, B. V., Lieberman, M. A., Shepelyansky, D. L., & Vivaldi, F. M., 1985, Phys. D, 14, 289Google Scholar
Froeschlé, C., Guzzo, M., & Lega, E., 2000, Science, 289, 2108Google Scholar
Laskar, J., 1990, Icarus, 88, 266Google Scholar
Milani, A. & Nobili, A., 1992, Nature, 357, 569Google Scholar
Páez, R. I. & Efthymiopoulos, C., 2014, Cel. Mech. Dyn. Astron., in press. ArXiv:1410.1407Google Scholar