Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009pobeo..86..139p&link_type=abstract
Publications of the Astronomical Observatory of Belgrade, vol. 86, pp. 139-144
Astronomy and Astrophysics
Astronomy
1
Scientific paper
This paper represents a part of the project devoted to application of the theorem of Nekhoroshev to asteroids. Spectral formulation of the Nekhoroshev theorem has been applied by Guzzo et al. (2002) to selected asteroids with regular motion in the region of Koronis family and with chaotic motion in the region of Veritas family. In the paper by Pavlović and Guzzo (2008) the fulfilment of conditions for application of the Nekhoroshev theorem in the same regions have been checked by using an integrable Hamiltonian which consisted of Kepler's and Kozai's terms. Here we expand the Hamiltonian with the most important terms linear in e' and i' of Jupiter and Saturn. With such expanded Hamiltonian we checked the fulfilment of conditions of convexity, quasi-convexity and 3-jet non-degeneracy in the regions of the two families and in the vicinity of secular resonances. The obtained results are compared with results obtained previously.
Knezevic Zoran
Pavlovic R.
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