Out-of-plane equilibrium points in the elliptic restricted three-body problem under albedo effect |
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| Institution: | 1. Department of Mathematics, College of Natural and Computational Science, Mizan-Tepi University, Tepi Campus, Ethiopia;2. Department of Mathematics, Zakir Husain Delhi College, University of Delhi, Delhi, 110002, India;1. Department of Mathematics, Institute of Applied Sciences & Humanities, GLA University, Mathura 281 406, Uttar Pradesh, India;2. Department of Mathematical and Actuarial Sciences, Universiti Tunku Abdul Rahman, Jalan Sungai Long, Cheras 43000, Malaysia;3. Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur 50603, Malaysia;4. Faculty of Education, IASE (Deemed to be University), Sardarshahar 331 403, Rajasthan, India;1. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Kingdom of Saudi Arabia;2. International Center for Advanced Interdisciplinary Research (ICAIR), Ratiya Marg, Sangam Vihar, New Delhi, India;3. Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria;4. Department of Physics, College of Science Al-Zulfi, Majmaah University, Kingdom of Saudi Arabia;5. Electronics and Microelectronics Laboratory, Faculty of Science of Monastir, University of Monastir, Tunisia;1. Department of Physics, Qom Branch, Islamic Azad University, Qom, Iran;2. Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran |
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| Abstract: | The aim of this research is to show the significant effects of albedo on the existence of out-of-plane equilibria in the elliptic restricted three-body problem under an oblate primary model. We computed out-of-plane equilibria numerically and graphically for different values of the parameters μ, α, e, k and σ where μ, α, e, k and σ are mass parameter, albedo factor, eccentricity, ratio of the luminosity of smaller primary to luminosity of bigger primary considered as constant and oblateness factor due to smaller primary, respectively. Further, we examined the stability of out-of-plane equilibria and found that these equilibria are unstable in linear sense for all parameters μ, α, e, k and σ. Finally, the three-dimensional periodic orbits are analyzed for different values of albedo factor α and oblateness factor σ. |
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