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Evolution of Periodic Orbits in the Sun-Saturn System

机译:太阳土星系统中周期轨道的演变

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We analyze the periodic orbits, quasi periodic orbits and chaotic orbits in the photo gravitational Sun-Saturn system incorporating actual oblateness of Saturn in the planar circular restricted three body problem. In this paper, we study the effect of solar radiation pressure on the location of Sun centered and Saturn centered orbits, its diameter, semi major axis and eccentricity by taking different values of solar radiation pressure q and different values of Jacobi constant “C”, and by considering actual oblateness of Saturn using Poincare surface of section (PSS) method. It is ob-served that by the introduction of perturbing force due to solar radiation pressure admissible range of Jacobi constant C decreases, it is also observed that as value of C decreases the number of islands decreases and as a result the number of periodic and quasi periodic orbits decreases.Fur-ther, the periodic orbits around Saturn and Sun moves towards Sun by decreasing perturbation due to solar radiation pressure q for a specific choice of Jacobi constant C. It is also observed that due to solar radiation pressure, semi major axis and eccentricity of Sun centered periodic orbit reduces, whereas, due to solar radiation pressure uniform change in semi major axis and eccen-tricity of Saturn centered periodic orbits is observed.
机译:我们在平面重力限制三体问题中结合了土星的实际扁度,分析了光引力太阳-土星系统中的周期轨道,准周期轨道和混沌轨道。在本文中,我们通过采用不同的太阳辐射压力q值和不同的雅可比常数“ C”值,研究太阳辐射压力对太阳中心和土星中心轨道的位置,直径,半长轴和偏心率的影响,并通过使用Poincare截面(PSS)方法考虑土星的实际扁度。可以观察到,由于太阳辐射压力引起的干扰力的引入,雅可比常数C的容许范围减小,还观察到随着C值的减小,岛的数量减少,结果,周期性和准数量减少。此外,对于特定的雅可比常数C,土星和太阳周围的周期性轨道由于太阳辐射压力q的扰动减小而向着太阳运动,这还可以观察到,由于太阳辐射压力,半长轴太阳中心周期轨道的偏心率降低,而由于太阳辐射压力,观测到半长轴和土星中心周期轨道的偏心率均匀变化。

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