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Analysis of radiation pressure and albedo effect in the generalized CR3BP with oblateness
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2024-11-22 , DOI: 10.1016/j.cnsns.2024.108459 Bhupendra Jangid, Ashok Kumar Pal, Lata Kumari Bairwa
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2024-11-22 , DOI: 10.1016/j.cnsns.2024.108459 Bhupendra Jangid, Ashok Kumar Pal, Lata Kumari Bairwa
This research investigates the impact of radiation pressure, albedo effect, and oblateness in the generalized Circular Restricted Three-Body Problem (CR3BP). We have considered the bigger primary is a radiating primary and the smaller primary produces the albedo effect. Moreover, the smaller primary is also considered as oblate body with zonal harmonic coefficient J i ; i = 2 , 4 . In this study, we have computed the equilibrium points and analyzed their stability, examined zero velocity curves to determine regions of possible motion, and described the periodic orbits around the equilibrium points. We observed that the equilibrium points are more significantly influenced by radiation pressure compared to the albedo effect. Furthermore, larger values of the oblateness parameters J 2 and J 4 notably impact on the equilibrium points. Moreover, an analysis is performed using the radiation pressure and albedo effect to assess the linear stability of all equilibrium points, and it is found that the collinear points are unstable, whereas, non-collinear equilibrium points are stable. We have obtained periodic orbits around the equilibrium points and observed that the amplitudes in the y − axes of the periodic orbit around L 1 and L 2 affected due to consideration of these perturbations, whereas the orbit around L 3 is not affected by any of these considered perturbations. This research provides a comprehensive analysis of these perturbations, offering new perspectives on their roles in the generalized CR3BP.
中文翻译:
广义 CR3BP 扁度的辐射压和反照率效应分析
本研究调查了辐射压力、反照率效应和扁度对广义圆限制性三体问题 (CR3BP) 的影响。我们认为较大的初级是辐射初级,而较小的初级会产生反照率效应。此外,较小的初级也被认为是具有纬向谐波系数 Ji 的扁体;i=2,4 的。在这项研究中,我们计算了平衡点并分析了它们的稳定性,检查了零速度曲线以确定可能运动的区域,并描述了围绕平衡点的周期性轨道。我们观察到,与反照率效应相比,平衡点受辐射压力的影响更大。此外,扁圆度参数 J2 和 J4 的较大值对平衡点有显着影响。此外,利用辐射压力和反照率效应进行了分析,评估了所有平衡点的线性稳定性,发现共线点不稳定,而非共线平衡点是稳定的。我们获得了围绕平衡点的周期性轨道,并观察到由于考虑了这些扰动,围绕 L1 和 L2 的周期性轨道的 y 轴振幅受到了影响,而围绕 L3 的轨道不受任何这些考虑的扰动的影响。本研究对这些扰动进行了全面分析,为它们在广义 CR3BP 中的作用提供了新的视角。
更新日期:2024-11-22
中文翻译:
广义 CR3BP 扁度的辐射压和反照率效应分析
本研究调查了辐射压力、反照率效应和扁度对广义圆限制性三体问题 (CR3BP) 的影响。我们认为较大的初级是辐射初级,而较小的初级会产生反照率效应。此外,较小的初级也被认为是具有纬向谐波系数 Ji 的扁体;i=2,4 的。在这项研究中,我们计算了平衡点并分析了它们的稳定性,检查了零速度曲线以确定可能运动的区域,并描述了围绕平衡点的周期性轨道。我们观察到,与反照率效应相比,平衡点受辐射压力的影响更大。此外,扁圆度参数 J2 和 J4 的较大值对平衡点有显着影响。此外,利用辐射压力和反照率效应进行了分析,评估了所有平衡点的线性稳定性,发现共线点不稳定,而非共线平衡点是稳定的。我们获得了围绕平衡点的周期性轨道,并观察到由于考虑了这些扰动,围绕 L1 和 L2 的周期性轨道的 y 轴振幅受到了影响,而围绕 L3 的轨道不受任何这些考虑的扰动的影响。本研究对这些扰动进行了全面分析,为它们在广义 CR3BP 中的作用提供了新的视角。