Parametric evolution of periodic orbits in the restricted four-body problem with radiation pressure |
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| Institution: | 1. Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24, Thessaloniki, Greece;2. Celestial Mechanics and Space Dynamics Research Group (CMSDRG), Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Helwan – 11421, Cairo, Egypt;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. Dept. de Matemáticas, UAM–Iztapalapa, Ciudad de México, Iztapalapa 09340, México;2. Dept. Informàtica Matemàtica Aplicada i Estadística, Universitat de Girona, Girona, Spain;3. Dept. Matemàtiques Universitat Politècnica de Catalunya, Barcelona, Av Diagonal 647, 08028, Spain |
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| Abstract: | The backbone of the analysis in most dynamical systems is the study of periodic motions, since they greatly assist us to understand the structure of all possible motions. In this paper, we deal with the photogravitational version of the rectilinear restricted four-body problem and we investigate the dynamical behaviour of a small particle that is subjected to both the gravitational attraction and the radiation pressure of three bodies much bigger than the particle, the primaries. These bodies are always in syzygy and two of them have equal masses and are located at equal distances from the third primary. We study the effect of radiation on the distribution of the periodic orbits, their stability, as well as the evolution of the families and their main features. |
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