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Diffusion Characters of the Orbits in the Asteroid Motion

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Abstract

A symplectic mapping is studied carefully. The exponential diffusion law in developed chaotic region and algebraic law in mixed region were observed. An area was found where the diffusion follows a logarithmic law. It is shown in the vicinity of an island, the logarithm of the escape time decreases linearily as the initial position moves away from the island. But when approaching close to the island, the escape time goes up very quickly, consistent with the superexponential stability of the invariant curve. When applied to the motion of asteroid, this mapping's fixed points and their stabilities give an explanation of the distribution of asteroids. The diffusion velocities in 4:3, 3:2 and 2:2 jovian resonances are also investigated.

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Authors and Affiliations

  1. Department of Astronomy, Nanjing University, Nanjing, 210093, P R China

    Li-yong Zhou, Yi-sui Sun & Ji-lin Zhou

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  1. Li-yong Zhou
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  2. Yi-sui Sun
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  3. Ji-lin Zhou
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Zhou, Ly., Sun, Ys. & Zhou, Jl. Diffusion Characters of the Orbits in the Asteroid Motion. Applied Mathematics and Mechanics 22, 808–819 (2001). https://doi.org/10.1023/A:1016313504355

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