Astronomy and Astrophysics – Astronomy
Scientific paper
May 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cemda..71...35m&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 71, Issue 1, p. 35-53 (1998).
Astronomy and Astrophysics
Astronomy
5
Earth-Crossing Asteroids, Toro Orbits, Earth&Hyphen, Crossing Asteroids
Scientific paper
Some asteroids in Earth-crossing orbits avoid close approaches by entering in a mean motion resonance whenever the distance between the two orbits is small. These orbits are ‘Toro class’ according to the classification of (Milani et al., 1989). This protection mechanism can be understood by a semi-averaged model, in which the fast variables are removed and the dynamical variables are the critical argument and the semimajor axis, with dependence upon a slow parameter. The adiabatic invariant theory can be applied to this model and accounts for all the qualitative features of the orbits in this class, including the onset of the libration when the orbit distance is small. Because of the neglected perturbations by the other planets, this theory is approximate and the adiabatic invariant is conserved only with low accuracy moreover, the Toro state can be terminated by a close approach to another planet (typically Venus).
Baccili S.
Milani Andrea
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