We have investigated the nonlinear stability of the triangular libration point L 4 in the R3BP when the smaller primary is a heterogeneous spheroid with three layers having different densities. We observe that in the nonlinear sense, the triangular libration is stable in the range of linear stability 0<μ<μ c , a critical value of mass parameter μ, except for three mass ratios μ 1 ′ , μ 2 ′ $\mu _{1}^{\prime },\mu _{2}^{\prime }$ , μ 3 ′ $\mu _{3}^{\prime }$ at which Moser’s theorem is not applicable.
The Nonlinear Stability of L 4 in the R3BP when the Smaller Primary is a Heterogeneous Spheroid
2017
Article (Journal)
English
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