【摘要】 分析了太阳引力摄动下地-月系统的动力学特性。以地-月圆型限制性三体问题为基础,考虑与其非共面的太阳运动,建立了受摄地-月问题的动力学模型;求解此模型的平衡点位置,考察了它们的变化规律及稳定性;构造了非自治系统的类Jacobi积分,从而得到受摄三体系统的零速度面,分析了其连通域随地-月相位的变化情况。计算结果表明,在太阳引力摄动下,地-月系统的平衡点位于无摄三体系统的平动点附近,稳定性也与其附近的平动点保持一致,受摄系统的Hill连通域与地月相位有关,并呈非周期性变化。更多还原

【Abstract】 The dynamical properties of Sun-perturbed Earth-Moon system are analyzed. Based on the circular restricted three body problem,the perturbed Earth-Moon dynamical model is established, considering the non-coplanar movement of the Sun. The equilibriums of this model are calculated,and their positions and stabilities are investigated. An integral similar with Jacobi energy is constructed to obtain the zero curve of this perturbed three body system,then it is capable to analyze the Hill region of this system. The results show that under the gravitational influence of the Sun,the equilibriums of the Earth-Moon system tend to be located near the libration points of the non-perturbed system,and also keep the same stability. The Hill region of the perturbed system will change non-periodically with the lunar phase.更多还原