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Non-linear stability zones around triangular equilibria in the plane circular restricted three-body problem with oblateness

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Abstract

Non-linear stability zones of the triangular Lagrangian points are computed numerically in the case of oblate larger primary in the plane circular restricted three-body problem. It is found that oblateness has a noticeable effect and this is identified to be related to the resonant cases and the associated curves in the mass parameter μ versus oblateness coefficientA 1 parameter space.

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Markellos, V.V., Papadakis, K.E. & Perdios, E.A. Non-linear stability zones around triangular equilibria in the plane circular restricted three-body problem with oblateness. Astrophys Space Sci 245, 157–164 (1996). https://doi.org/10.1007/BF00637811

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  • DOI: https://doi.org/10.1007/BF00637811

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