广义Chermnykh-Like问题拉格朗日点$L_1$的轨迹和稳定域
Trajectories and Stability Regions of the Lagrangian Point $L_1$ in the Generalized Chermnykh-Like Problem
摘要:
日地系统的拉格朗日点$L_1$被认为是由于其特殊的重要性,科学界的空间飞行任务的设计。拉格朗日点的轨迹和$L_1$的稳定区域的位置进行了数值计算的初始条件非常接近的点。给出了不同参数值下的带效应、太阳辐射压效应和第二质点(有限体地球)扁率效应。共线点$L_1$在参数值和初始条件对应的特定时间间隔$t$内是渐近稳定的。
英文摘要:
The Lagrange point $L_1$ for the Sun-Earth system is considered due to its special importance for the scientific community for the design of space missions. The location of the Lagrangian points with the trajectories and stability regions of $L_1$ are computed numerically for the initial conditions very close to the point. The influence of belt, effect of radiation pressure due to Sun and oblateness effect of second primary(finite body Earth) is presented for various values of parameters. The collinear point $L_1$ is asymptotically stable within a specific interval of time $t$ correspond to the values of parameters and initial conditions.
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