Abstract
Non-linear stability zones of the triangular Lagrangian points are determined numerically and the effect of the parameters of mass distribution and eccentricity of primaries are considered within the framework of the elliptic restricted three-body problem. It is found that both parameters have a strong effect reducing the stability zones to negligible size for some parameter values within the linear stability regions. The effect is identified to be due to the non-linearly unstable resonant cases and the associated curves in the μ-e parameter space. It is thus concluded that the classical μ-e linear stability diagram is only partially valid in terms of the more practical concept of non-linear stability.
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© 1995 Springer Science+Business Media New York
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Markellos, V.V., Papadakis, K.E., Perdios, E.A. (1995). Non-Linear Stability Zones Around the Triangular Lagrangian Points. In: Roy, A.E., Steves, B.A. (eds) From Newton to Chaos. NATO ASI Series, vol 336. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1085-1_35
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DOI: https://doi.org/10.1007/978-1-4899-1085-1_35
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