Behavior of observed asteroids in the neighborhood of the 3: 1 resonance

Astronomy and Astrophysics – Astronomy

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Scientific paper

The number of observed asteroids in the neighborhood of the 3: 1 resonance has been increasing significantly over the last years. In 2002 this number was 2.7 times as high as in 1999. This resonance is one of the main sources of NEAs (Near-Earth Asteroids). Several observational campaigns, specially Spacewatch Programs, are being undertaken in order to identify new NEAs. The list of unstable observed asteroids in the 3: 1 neighborhood when the 2002 data is added to the 1999 Bowell data is also increasing. Asteroids have been selected for numerical integration (for 108 years with Venus to Saturn included) according to a previously adopted approach with the Planar Restricted Three-Body Problem. It is based on a representative plane which allows an estimated border of the 3: 1 resonance. The positions of the selected asteroids in this plane are bounded by contour curves and those obtained from them by adding 0.01AU on both sides outside the resonance. The number of unstable asteroids increased from 20 in the old sample to 54 in the updated sample. It is interesting to note that both numbers correspond to about 40% of the total number in each sample. When asteroids inside the contour curves are not considered, we obtain an exponential decay for the time variation of the number of surviving unstable asteroids in the range 106 to 108 years. The sample is not complete so in the future we will possibly obtain a more representative sample and a better understanding of the removal process by chaotic diffusion in the neighborhood of the 3: 1 resonance.

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