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Chirikov diffusion in the sphere–ellipsoid binary asteroids

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Abstract

The Chirikov diffusion in the sphere–ellipsoid binary asteroids through the spin–orbit resonance model is analytically and numerically studied. The primary and the secondary of the binary system are considered sphere and ellipsoid, respectively. The gravitational potential function is expanded up to the fourth-order. The geography of the first- and second-order resonances is derived and studied for different values of asphericity and dynamical flattening of the secondary asteroid and the semimajor axis and eccentricity of the mutual orbit. The Chirikov diffusion due to overlapping of the first- and second-order resonances is examined. For this end, the previously derived criterion for appearance of large-scale chaos is modified for those binary asteroids in which their secondary has irregular shape.

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Acknowledgments

The authors thank the anonymous reviewers who their suggestions and comments helped improving this paper.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran

    Mahdi Jafari Nadoushan & Nima Assadian

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  1. Mahdi Jafari Nadoushan
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  2. Nima Assadian
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Correspondence to Nima Assadian.

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Jafari Nadoushan, M., Assadian, N. Chirikov diffusion in the sphere–ellipsoid binary asteroids. Nonlinear Dyn 85, 1837–1848 (2016). https://doi.org/10.1007/s11071-016-2799-9

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  • DOI: https://doi.org/10.1007/s11071-016-2799-9

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