International Astronomy and Astrophysics Research Journal https://www.journaliaarj.com/index.php/IAARJ <p style="text-align: justify;"><strong>International Astronomy and Astrophysics Research Journal</strong>&nbsp;aims to publish high-quality papers (<a href="http://www.journaliaarj.com/index.php/IAARJ/general-guideline-for-authors">Click here for Types of paper</a>) in all areas of Astronomy and Astrophysics. The journal also encourages the submission of useful reports of negative results. This is a quality controlled, OPEN peer-reviewed, open access INTERNATIONAL journal.</p> <p style="text-align: justify;">Every volume of this journal will consist of 4 issues. Every issue will consist of minimum 5 papers. Each issue will be running issue and all officially accepted manuscripts will be immediately published online. State-of-the-art running issue concept gives authors the benefit of 'Zero Waiting Time' for the officially accepted manuscripts to be published. This journal is an international journal and scope is not confined by the boundary of any country or region.</p> en-US International Astronomy and Astrophysics Research Journal The Motion of a Test Particle around the Out-of-Plane Libration Points in the ER3BP with Oblateness up to Zonal Harmonics J_4 https://www.journaliaarj.com/index.php/IAARJ/article/view/28 <p>The study of the Elliptic Restricted Three-Body Problem (ER3BP) in our present work&nbsp; considered the &nbsp;coordinates taken oblateness up to zonal harmonics &nbsp;for Gliese 667 and Sirius systems. The&nbsp; &nbsp;coordinates considered here is termed; the out-of-plane libration points. The out-of-plane libration points is birthed from the existence of the three-dimsional Restricted Three-Body Problem (R3BP). Its points or positions are denoted by . These positions ( ) lie in the plane almost directly above and below the center of each oblate primary. We have computed numerically the positions of the out-of-plane libration points &nbsp;and its stability to show the effects of the parameters involved. With the help of the software MATHEMATICA, we have observed the topologies of Zero-Velocity Curves (ZVC) for the stated problem. It is found that, the positions of the out-of-plane libration points for the binary systems: Gliese 667 and Sirius seems to respectively move away and closer in the absence and present of oblateness. For the stability, it is evidenced that, for each set of values, there exist at least one complex root with positive real part and hence in Lyapunov sense, the stability of the out-of-plane libration points are unstable for the binary systems mentioned above.</p> Jagadish Singh Tyokyaa K. Richard ##submission.copyrightStatement## 2020-10-14 2020-10-14 1 15