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On the practical stability of the triangular points in the restricted three-body problem

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Abstract

This paper contains a proposal of a new way of treating astrodynamical stability problems. A definition of a practical stability and a direct method of its examination are presented. The method has been applied to the triangular points problem for variety of μ ande values in the case of the linearized equation system as well as in the general one. The results are shown in a form which facilitates the comparison with results published by other authors.

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References

  • Bennet, A.: 1965,Icarus 4, No. 2.

  • Businger, P. A.: 1965, Comm. ACM, No. 8, Algorithm 253.

  • Danby, J. M. A.: 1964,Astron. J. 69, No. 2.

  • Duboshin, G. N.: 1952,Osnovy teorii ustoytchivosti dvizhenia, Moscow University Publishing House.

  • Grebennikov, E. A.: 964,Astron. Zh. 41, No. 3.

  • Kurosh, A. T.: 1962,Kurs vysshey algebry, Fizmatgiz.

  • La Salle, J. and Lefschetz, S.: 1961,Stability by Liapunov's Direct Method, Acad. Press.

  • Olszewski, J. 1968, ‘Pryamoy metod issledovania praktitcheskoy ustoytchivosti dvizhenia i ego primenenie k probleme ustoytchivosti treugolnykh resheniy Lagranzha v plosko-elliptitcheskoy zadatche trekh tel’, State Publishing House, Warzsawa.

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  • Svejgaard, B.: 1966, Private information.

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Olszewski, J. On the practical stability of the triangular points in the restricted three-body problem. Celestial Mechanics 4, 3–14 (1971). https://doi.org/10.1007/BF01230316

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  • DOI: https://doi.org/10.1007/BF01230316

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