[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 have investigated the motion of an infinitesimal body in the elliptic restricted three-body problem (ER3BP) when both primaries are sources of radiation as well as oblate spheroids with oblateness up to zonal harmonic J4. We highlight the effects of the said parameters on the locations of the collinear equilibrium points of 61 CYGNI and STRUVE 2398. It is also found that under the combined effect of the zonal harmonics (J2 & J4), the collinear points L1 and L2 move away from the bigger primary with the increase in oblateness, while L3 moves closer to the primaries. It is also seen that in the case of the binary system 61 Cygni, the effect of the zonal harmonics (J2 & J4) on the positions of L1 and L3 is not observable when compared with the binary system Struve 2398. It is further observed that the oblateness does not change the nature of stability of collinear points and they remain unstable.
Celestial Mechanics, ER3BP, Oblateness, Collinear Points
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