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A study of non-collinear libration points under the combined effects of radiation pressure and Stokes drag
Institution:1. Department of Mathematics, College of Natural and Computational Science, Mizan-Tepi University, Tepi, Ethiopia.;2. Department of Mathematics, Zakir Husain Delhi College, University of Delhi, New Delhi 110002, 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 Mathematics, Sri Aurobindo College, University of Delhi, Malviya Nagar, New Delhi, Delhi 110017, India;2. Department of Mathematics, ARSD College, University of Delhi, Dhaula Kuan, Delhi 110021, India;3. Department of Mathematics, Deshbandhu College, University of Delhi, Kalkaji, New Delhi, Delhi 110019, India
Abstract:We study the non-collinear libration points in the frame work of photo-gravitational circular restricted three-body problem with Stokes drag acting as a dissipative force and considering the more massive primary as a radiating body and the less massive primary as a triaxial rigid body. The combined effects of radiation pressure and Stokes drag on the existence and stability of non-collinear libration points is analyzed. It is found that there exist two non-collinear libration points and are asymptotically stable in the interval 0.6149 ≤ q ≤ 1 for μ = 0.01, where q and μ are the radiation factor and mass ratio, respectively.
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