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Deformation of a line-element in the phase space at the triangular libration point

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Abstract

The flow in the projection of the phase space into the configuration space is presented in the neighborhood of a neutrally (or critically) stable equilibrium point in the restricted problem of three bodies. The projection is a line-element every point of which has zero initial velocity. After the elapse of various times the mapping (the rotations and elongations) of the line-element is described showing chaotic behavior.

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References

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Authors and Affiliations

  1. University of Texas, Austin, Tex., USA

    V. Szebehely (L. B. Meaders Professor) & R. McKenzie (Research Assistant)

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  1. V. Szebehely
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  2. R. McKenzie
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Szebehely, V., McKenzie, R. Deformation of a line-element in the phase space at the triangular libration point. Celestial Mechanics 23, 131–137 (1981). https://doi.org/10.1007/BF01229548

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  • DOI: https://doi.org/10.1007/BF01229548

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