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Diffusion in a Symplectic Map with Application to Asteroid Motion |
ZHOU Li-Yong;SUN Yi-Sui;ZHOU Ji-Lin |
Department of Astronomy, Nanjing University, Nanjing 210093 |
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Cite this article: |
ZHOU Li-Yong, SUN Yi-Sui, ZHOU Ji-Lin 2000 Chin. Phys. Lett. 17 708-710 |
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Abstract In studying a 2-dimensional syrnplectic map, the exponential law and algebraic law are observed in the diffusion of orbits in the phase space. The diffusion time in the vicinity of an island is investigated carefully and a logarithm law is found for the first time. The distribution of asteroids in the main belt and the diffusion velocities in 3:2 and 4:3 resonances are discussed using this map.
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Keywords:
05.45.-a
95.10.Ce
96.30.Ys
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Published: 01 October 2000
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PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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95.10.Ce
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(Celestial mechanics (including n-body problems))
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96.30.Ys
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(Asteroids, meteoroids)
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