Sitnikov five-body problem with combined effects of radiation pressure and oblateness |
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| Institution: | 1. Department of Mathematics, Zakir Husain Delhi College University of Delhi, Delhi 110002, India;2. Department of Mathematics, College of Natural and Computational Science Mizan-Tepi University, Tepi Campus, Ethiopia;3. Department of Mathematics, Shaheed Bhagat Singh College University of Delhi, Delhi 110017, India;4. Department of Mathematics, S.G.T.B. Khalsa College University of Delhi, Delhi 110007, India;1. Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran;2. Young Researchers and Elite Club, Science and Research Branch, Islamic Azad University, Tehran, Iran;3. Department of Physics, Central Tehran Branch, Islamic Azad University, Tehran, Iran |
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| Abstract: | We study the motion of negligible mass in the frame work of Sitnikov five-body problem where four equal oblate spheroids known as primaries symmetrical in all respect are placed at the vertices of square. These primaries are also considered as source of radiations moving in a circular orbit around their common center of mass. The fifth negligible mass performs oscillations along z-axis which is perpendicular to the orbital plane of motion of the primaries and passes through the center of mass of the primaries. Under the combined effects of radiation pressure and oblateness, we have developed the series solution by the Lindstedt-Poincare technique and established averaged Hamiltonians by applying the Van der Pol transformation and averaging technique of Guckenheimer and Holmes (1983). The orbits such as regular, periodic, quasi-periodic, chaotic, or stochastic have been examined with the help of Poincare surfaces of section. |
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