Periods, Eccentricities and Axes around *L*4,5 in the ER3BP under Radiating and Oblate Primaries ()

Aishetu Umar^{*}, Jagadish Singh^{}

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

**DOI: **10.4236/ijaa.2014.44061
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Department of Mathematics, Faculty of Science, Ahmadu Bello University, Zaria, Nigeria.

In the framework of the elliptic restricted three-body problem, using a semi-analytic approach, we investigate the effects of oblateness, radiation and eccentricity of both primaries on the periodic orbits around the triangular Lagrangian points of oblate and luminous binary systems. The frequencies of the long and short orbits of the periodic motion are affected by the oblateness and radiation of both primaries, so are their eccentricities, semi-major and semi-minor axes.

Keywords

Celestial Mechanics, Periods, Eccentricities, Axes, Triangular Points

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Umar, A. and Singh, J. (2014) Periods, Eccentricities and Axes around *L*4,5 in the ER3BP under Radiating and Oblate Primaries. *International Journal of Astronomy and Astrophysics*, **4**, 668-682. doi: 10.4236/ijaa.2014.44061.

Conflicts of Interest

The authors declare no conflicts of interest.

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