Probing the Nekhoroshev Stability of Asteroids |
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Authors: | Massimiliano Guzzo Zoran Kne?evi? Andrea Milani |
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Institution: | (1) Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, Via Belzoni 7, 35131 Padova, Italy;(2) Astronomska opservatorija, Volgina 7, 11169, Yugoslavia;(3) Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 50127 Pisa, Italy |
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Abstract: | We apply the spectral formulation of the Nekhoroshev theorem to investigate the long-term stability of real main belt asteroids. We find numerical indication that some asteroids are in the so-called Nekhoroshev stability regime, that is they are on chaotic orbits but their motion is stable over very long times. We have analyzed the motion of bodies in different regions of the belt, to assess the sensitivity of our method. We found that it allows us to clearly discriminate between different dynamical regimes, such as the one described by the Nekhoroshev stability, the one well described by the KAM theory, and the unstable chaotic regime in which diffusion in phase space can be detected over time spans much shorter than the age of the solar system. |
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Keywords: | Nekhoroshev theorem asteroids long-term stability |
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