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The stability of the triangular points in the elliptic restricted problem

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Abstract

Results are given for the stability regions in the μ-e plane of the triangular points in the elliptic restricted three-body problem. This has been done by using the two independent second-order sets of equations, as derived by Tschauner (1971a). A new property is being used in the numerical computation, which saves up more than 50% of computer time and is also applicable to the fourth order system. One of Tschauner's (1974) transition curves (derived from analytic approximations) didn't show up here. This seems to confirm Danby's result that thee axis is a transition curve.

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  1. Sterrenkundig Observatorium, Rijksuniversiteit Gent, B 9000, Gent, Belgium

    R. Meire

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  1. R. Meire
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Meire, R. The stability of the triangular points in the elliptic restricted problem. Celestial Mechanics 23, 89–95 (1981). https://doi.org/10.1007/BF01228547

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  • DOI: https://doi.org/10.1007/BF01228547

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