Influence of the Zonal Harmonics of the Primary on Collinear Points (L_{1,2,3}) in the Photogravitational ER3BP

[1]

**Jagadish Singh**, Department of Mathematics, Faculty of Science, Ahmadu Bello University, Zaria, Nigeria.

[2]

**Blessing Ashagwu**, Department of Mathematics, Faculty of Science, Ahmadu Bello University, Zaria, Nigeria.

We investigate in the framework of the elliptic restricted three-body problem (ER3BP), the influence of the zonal harmonics (J_{2} & J_{4}) of the primary and the radiation pressure of the secondary in the neighbourhood of collinear libration point. The positions of the collinear points are affected by aforesaid perturbations. The changes in the locations of the points (*L*_{1,2,3}) occur as a result of the perturbed oblateness. The positions do not move uniformly with increase in varying oblateness for the binary systems PSR J1903+0327. The collinear points as evidenced from the systems under consideration are unstable even with the introduction of oblateness up to zonal harmonics *J*_{4}.

Celestial Mechanics, ER3BP, Oblateness, Collinear Points

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