Dynamical causes of asymmetry in the arrangement of gaps in the asteroid belt |
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| Authors: | A P Markeev |
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| Institution: | (1) Institute for Problems of Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, Moscow, 117526, Russia |
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| Abstract: | The centers of the gaps observed in the asteroid belt are displaced toward Jupiter from their positions that correspond to the exact commensurability between the mean motions of an asteroid and Jupiter. Using the current theory of stability and nonlinear oscillations of Hamiltonian systems, we point out the dynamical causes of this asymmetry. Our analysis is performed in terms of the plane circular restricted three-body problem. The orbits that correspond to Poincaré periodic solutions of the first kind are taken as unperturbed asteroid orbits. |
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| Keywords: | planets and asteroids Solar system periodic solutions resonance stability |
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