太阳摄动下的地-月系统特性
发布时间：2018-10-20 19:53
【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。
[Abstract]:The dynamic characteristics of the earth-moon system under the solar gravity perturbation are analyzed. On the basis of the restricted three-body problem of the Earth-Moon circle, the dynamic model of the Earth-Moon problem is established by considering the non-coplanar solar motion, and the equilibrium position of the model is solved, and the variation law and stability of the model are investigated. In this paper, the quasi-Jacobi integral of the nonautonomous system is constructed, and the zero velocity surface of the three-body system is obtained, and the change of the phase from anywhere to the moon in the connected domain is analyzed. The results show that the equilibrium point of the Earth-Moon system is near the translational point of the non-perturbed trisomy system under the solar gravitational perturbation, and the stability of the system is consistent with that of its nearby translational point. The Hill connected region of the system is related to the phase of the Earth-Moon system. The changes were aperiodic.
【作者单位】： 西北工业大学航天学院;上海卫星工程研究所;
【基金】：国家自然科学基金(61174204) 航天支撑基金资助项目(NAXW0006)
【分类号】：P13
[Abstract]:The dynamic characteristics of the earth-moon system under the solar gravity perturbation are analyzed. On the basis of the restricted three-body problem of the Earth-Moon circle, the dynamic model of the Earth-Moon problem is established by considering the non-coplanar solar motion, and the equilibrium position of the model is solved, and the variation law and stability of the model are investigated. In this paper, the quasi-Jacobi integral of the nonautonomous system is constructed, and the zero velocity surface of the three-body system is obtained, and the change of the phase from anywhere to the moon in the connected domain is analyzed. The results show that the equilibrium point of the Earth-Moon system is near the translational point of the non-perturbed trisomy system under the solar gravitational perturbation, and the stability of the system is consistent with that of its nearby translational point. The Hill connected region of the system is related to the phase of the Earth-Moon system. The changes were aperiodic.
【作者单位】： 西北工业大学航天学院;上海卫星工程研究所;
【基金】：国家自然科学基金(61174204) 航天支撑基金资助项目(NAXW0006)
【分类号】：P13
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相关期刊论文 前1条
1 刘林,王歆;月球卫星轨道力学综述[J];天文学进展;2003年04期
【共引文献】
相关期刊论文 前6条
1 鄢建国;平劲松;李斐;王威;;应用LP165P模型分析月球重力场特征及其对绕月卫星轨道的影响[J];地球物理学报;2006年02期
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