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
The Journal of the Astronautical Sciences ; 64 , 1 ; 18-49
2016
Aufsatz (Zeitschrift)
Englisch
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