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Asteroids and Their Mathematical Methods

Author

Listed:
  • Yu Jiang

    (State Key Laboratory of Astronautic Dynamics, Xi’an Satellite Control Center, Xi’an 710043, China)

  • Yanshuo Ni

    (Beijing Institute of Spacecraft System Engineering, Beijing 100094, China)

  • Hexi Baoyin

    (School of Aerospace Engineering, Tsinghua University, Beijing 100084, China)

  • Junfeng Li

    (School of Aerospace Engineering, Tsinghua University, Beijing 100084, China)

  • Yongjie Liu

    (State Key Laboratory of Astronautic Dynamics, Xi’an Satellite Control Center, Xi’an 710043, China)

Abstract

In this paper, the basic classification of asteroids and the history and current situation of asteroid exploration are introduced. Furthermore, some recent research progress on the orbital dynamics of asteroids, including models of the gravitational potential field, the dynamics near asteroids, hopping motion on the surface, and bifurcations under varying external parameters, is reviewed. In the meanwhile, the future research development such as the configuration and evolution of binary or triple asteroid systems and near-Earth asteroid defense is briefly discussed.

Suggested Citation

  • Yu Jiang & Yanshuo Ni & Hexi Baoyin & Junfeng Li & Yongjie Liu, 2022. "Asteroids and Their Mathematical Methods," Mathematics, MDPI, vol. 10(16), pages 1-28, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2897-:d:886874
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    References listed on IDEAS

    as
    1. Michael Küppers & Laurence O’Rourke & Dominique Bockelée-Morvan & Vladimir Zakharov & Seungwon Lee & Paul von Allmen & Benoît Carry & David Teyssier & Anthony Marston & Thomas Müller & Jacques Crovisi, 2014. "Localized sources of water vapour on the dwarf planet (1) Ceres," Nature, Nature, vol. 505(7484), pages 525-527, January.
    2. P. Vernazza & R. P. Binzel & A. Rossi & M. Fulchignoni & M. Birlan, 2009. "Solar wind as the origin of rapid reddening of asteroid surfaces," Nature, Nature, vol. 458(7241), pages 993-995, April.
    3. Humberto Campins & Kelsey Hargrove & Noemi Pinilla-Alonso & Ellen S. Howell & Michael S. Kelley & Javier Licandro & T. Mothé-Diniz & Y. Fernández & Julie Ziffer, 2010. "Water ice and organics on the surface of the asteroid 24 Themis," Nature, Nature, vol. 464(7293), pages 1320-1321, April.
    4. E. Asphaug & S. J. Ostro & R. S. Hudson & D. J. Scheeres & W. Benz, 1998. "Disruption of kilometre-sized asteroids by energetic collisions," Nature, Nature, vol. 393(6684), pages 437-440, June.
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    Cited by:

    1. Yanshuo Ni & He Zhang & Junfeng Li & Hexi Baoyin & Jiaye Hu, 2023. "The Shape Entropy of Small Bodies," Mathematics, MDPI, vol. 11(4), pages 1-19, February.

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