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The Three-Dimensional Elliptic Problem

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Recent Advances in Dynamical Astronomy

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 39))

Abstract

The present paper is a contribution to the study and calculation of three-dimensional periodic orbits of the elliptic restricted problem. The reference system used is the rotating-pulsating one in which the two primaries are at rest. After developing the method for calculation of three-dimensional periodic orbits and of their stability characteristics, we proceed to present numerical results which were obtained by using the computer 1906A ICL of the University of Manchester.

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References

  • Bray, T. A. and Goudas, C. L.: 1967, Astron. J. 72, 202.

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  • Katsiaris, G.: 1970, ‘Three Dimensional Periodic Orbits of Simple Symmetry in the Restricted Three Body Problem’, Doctoral Dissertation.

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  • Katsiaris, G.: 1971, Astrophys. Space Sci. 10, 71.

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  • Katsiaris, G. and Goudas, C. L.: 1970, Astrophys. Space Sci. 8, 243.

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Author information

Authors and Affiliations

  1. National Technical University, Athens, Greece

    G. Katsiaris

Authors
  1. G. Katsiaris
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Editor information

Editors and Affiliations

  1. Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, Tex., 78712, USA

    B. D. Tapley  & V. Szebehely  & 

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© 1973 D. Reidel Publishing Company, Dordrecht-Holland

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Katsiaris, G. (1973). The Three-Dimensional Elliptic Problem. In: Tapley, B.D., Szebehely, V. (eds) Recent Advances in Dynamical Astronomy. Astrophysics and Space Science Library, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2611-6_12

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  • DOI: https://doi.org/10.1007/978-94-010-2611-6_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2613-0

  • Online ISBN: 978-94-010-2611-6

  • eBook Packages: Springer Book Archive

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