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Periodic orbits of the second kind in the restricted three-body problem when the more massive primary is an oblate spheroid

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Abstract

Utilizing secular perturbing potential due to oblateness, the existence of periodic orbits of the second kind is established through analytic continuation using Delaunay's canonical variables in the planar restricted three-body problem when the more massive primary is an oblate spheroid with its equatorial plane coincident with the plane of motion.

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References

  • Arenstorf, R. F.: 1963,Am. J. Math. 85, 27.

    Google Scholar 

  • Barrar, R. B.: 1965,Astron. J. 70, 3.

    Google Scholar 

  • Giacaglia, G. E. O.: 1967,Astron. J. 72, 386.

    Google Scholar 

  • Sharma, R. K.: 1976,Astron. Astrophys. 50, 257.

    Google Scholar 

  • Stiefel, E. L. and Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Springer Verlag.

  • Szebehely, V.: 1967,Theory of Orbits, Academic Press.

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Authors and Affiliations

  1. Applied Mathematics Section, Aeronautics Group, Vikram Sarabhai Space Centre, Trivandrum, India

    Ram Krishan Sharma

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  1. Ram Krishan Sharma
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Sharma, R.K. Periodic orbits of the second kind in the restricted three-body problem when the more massive primary is an oblate spheroid. Astrophys Space Sci 76, 255–258 (1981). https://doi.org/10.1007/BF00651258

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  • DOI: https://doi.org/10.1007/BF00651258

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