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Applications of the Restricted Many-Body Problem to Binary Asteroids

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Predictability, Stability, and Chaos in N-Body Dynamical Systems

Part of the book series: NATO ASI Series ((NSSB,volume 272))

Abstract

This paper presents a general approach to the problem of stability of binary configurations in solar system dynamics. As a special application of the analytical approach the possible existence of binary asteroids is investigated by numerical approaches. The analytical results are based on the hierarchical model of the restricted four-body problem, in which the primaries are the Sun and Jupiter and the “small masses” are the asteroid and its satellite. The numerical results offer a parametric study considering the effects of the initial orbital parameters of the binary on its stability.

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References

  • Szebehely V. and Whipple A.L. (1984). “Generalization of the Restricted Problem of Three Bodies”. The Big Bang and George Lemaitre, pp. 195- 205, D. Reidel Publ. Co.

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  • Pojman J. and Szebehely V. (1988). “The Hierarchical Restricted Problem with Applications”. Long-Term Dynamical Behaviour of Natural and Artificial N-body Systems. (Ed. A.E. Roy), pp. 277–288, Kluwer, Dordrecht.

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  • Van Flandern T.C. (1980). “Satellites of Minor Planets: A New Frontier for Celestial Mechanics”. Celestial Mechanics, pp. 79–80.

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  • Zhang S.P. and Innanen K.A. (1988). “The Stable Region of Satellites of Large Asteroids”. Icarus, 75, pp. 105–112.

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Author information

Authors and Affiliations

  1. University of Texas at Austin, USA

    Victor Szebehely (Professor R.B. Curran Centennial Chair) & Joseph R. Pojman (Graduate Research Associate)

Authors
  1. Victor Szebehely
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  2. Joseph R. Pojman
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Editor information

Editors and Affiliations

  1. University of Glasgow, Glasgow, UK

    Archie E. Roy

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© 1991 Plenum Press, New York

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Szebehely, V., Pojman, J.R. (1991). Applications of the Restricted Many-Body Problem to Binary Asteroids. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_14

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  • DOI: https://doi.org/10.1007/978-1-4684-5997-5_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5999-9

  • Online ISBN: 978-1-4684-5997-5

  • eBook Packages: Springer Book Archive

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