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Three-dimensional regions of stability about the triangular equilibrium points

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Abstract

Within the context of the restricted problem of three bodies, an analytic upper bound on the three-dimensional regions of stability about the triangular equilibrium points is derived for general initial velocity limits and a wide class of bounding regions. This upper bound is illustrated and compared to numerical investigations for two bounding regions using the Earth-Moon mass ratio.

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Authors and Affiliations

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

    Arthur L. Whipple (Research Assistant)

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  1. Arthur L. Whipple
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Whipple, A.L. Three-dimensional regions of stability about the triangular equilibrium points. Celestial Mechanics 30, 385–394 (1983). https://doi.org/10.1007/BF01375508

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  • DOI: https://doi.org/10.1007/BF01375508

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