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In this paper we investigate the planar circular restricted (3 + 1)-body problem. A massless particle moves under the Newtonian gravitational influence of three primaries. These primaries revolve in circular orbits around their common center of mass within the same plane, forming a collinear configuration. We establish the existence and nonlinear stability of equilibrium points under the condition that two of the primaries have equal masses, denoted by μ.
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