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在地月会合坐标系下建立了月球探测器的相对动力学模型,模型中考虑了太阳、地球和月球的真实天体力学环境.给出了太阳引力摄动下地月会合坐标系绝对角速度的简单但精确的表达式.所提供的相对动力学模型与J2000坐标系下的绝对动力学模型完全等价.如果将太阳引力常数置为零,模型则退化为椭圆型限制性三体问题模型;如果再将月球轨道偏心率置为零,模型则进一步退化为圆型限制性三体问题模型.基于本文模型导出了计算地月系统的共线和三角拉格朗日平动点更精确位置的迭代格式,它与儒略时刻以及所考虑的时间范围有关.所提供的相对动力学模型对经由拉格朗日点的探月轨道设计有重要参考价值.
The relative dynamical model of lunar probe is established under the coordinate system of earth and moon, and the real celestial mechanics environment of the sun, the earth and the moon is taken into account in the model. The absolute angular velocity of the moon-earth meeting coordinate system under the solar gravity perturbation is given as simple as Exact expression The relative dynamics model provided is exactly equivalent to the absolute dynamics model in the J2000 coordinate system.If the solar attraction constant is set to zero, the model degenerates into an elliptic constrained three-body problem model; The lunar orbital eccentricity is set to zero and the model is further degenerated into a circular constrained three-body problem model. Based on the model presented in this paper, an iterative scheme for calculating more accurate positions of the collinear and triangular Lagrangian translation points of the lunar system is derived , Which is related to the Julian moment and the time frame under consideration.The relative dynamics model provided provides an important reference value for lunar orbit design via Lagrange points.