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On the non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies

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Abstract

The non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies is investigated numerically with emphasis on the effect of the orbital eccentricity of the primaries on the shape of the established stability regions. It is shown that with increasing eccentricity, the width of these regions is decreasing.

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References

  1. Broucke, R.: On the Elliptic Restricted Three-Body Problem,Journal of Astronautical Sciences, Vol. XIX, No. 6, pp. 417–432, May–June 1972

    Google Scholar 

  2. Broucke, R.: Periodic Orbits in the Elliptic Restricted Three-Body Problem, Technical Report 32–1360 Jet Propulsion Laboratory, Pasadena, Calif., July 15, 1969.

    Google Scholar 

  3. Danby, J.M.A.: Stability of the Triangular Points in the Elliptic Restricted Three-Body Problem,Astron. J., Vol.69, 165, 1964.

    Google Scholar 

  4. Erdi, B.: 1978,Celes. Mech., Vol.18, 141.

    Google Scholar 

  5. Erdi, B.: 1979,Celes. Mech., Vol.20, 59.

    Google Scholar 

  6. McKenzie, R. and Szebehely, V.: Non-Linear Stabiilty around the Triangular Libration Points,Celes. Mech., Vol.23, 223–229, 1981.

    Google Scholar 

  7. Szebehely, V.: Theory of Orbits, Academic Press, N.Y., 1967.

    Google Scholar 

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Györgyey, J. On the non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies. Celestial Mechanics 36, 281–285 (1985). https://doi.org/10.1007/BF01230741

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  • DOI: https://doi.org/10.1007/BF01230741

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