Stability of triangular equilibrium points of oblate infinitesimal influenced by oblate and radiating primaries in Elliptic Restricted Three Body Problem based on Floquet’s theory

•The stability in the case of linear resonance are analyzed based on the Floquet’s theory.•The effect of oblateness on linear stability is explored.•The critical value of μ for the stability boundary for parametric excitation is dependent on the oblateness.