The Nonlinear Stability of L 4 in the R3BP when the Smaller Primary is a Heterogeneous Spheroid

• DOI: 10.1007/s40295-016-0093-1
• Publication Date: 2016-09-21T13:28:07Z
• Authors: Kumari Shalini; Md Sanam Suraj; Rajiv Aggarwal
• Keywords: Lagrangian point; Linear stability; Spheroid; Libration (molecule)

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 $\mu _{1}^{\prime },\mu _{2}^{\prime }$ , $\mu _{3}^{\prime }$ at which Moser’s theorem is not applicable.