Abstract We have investigated the nonlinear stability of the triangular libration point L4 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<μc, 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.
The Nonlinear Stability of L4 in the R3BP when the Smaller Primary is a Heterogeneous Spheroid
2016
Article (Journal)
English
The Nonlinear Stability of L 4 in the R3BP when the Smaller Primary is a Heterogeneous Spheroid
Springer Verlag | 2016
|The Nonlinear Stability of L 4 in the R3BP when the Smaller Primary is a Heterogeneous Spheroid
Online Contents | 2017
|The Photo-Gravitational R3BP when the Primaries are Heterogeneous Spheroid with Three Layers
Online Contents | 2014
|The Photo-Gravitational R3BP when the Primaries are Heterogeneous Spheroid with Three Layers
Springer Verlag | 2014
|The Nonlinear Stability of L 4 in the R3BP when the Smaller Primary is a Heterogeneous Spheroid
Online Contents | 2016
|