【摘要】 在通常的限制性三体问题中 ,考虑一个主星m1 的辐射作用后 ,小天体m的运动会有变化 ,但辐射作用与引力作用不同 ,其作用的大小与承受辐射压的客体的有效面质比有关 .当主星m1 辐射较强 ,小天体m的有效面质比较大时 ,这种辐射作用不可忽视 ,例如太阳光压对人造地球卫星运动的影响 .除此之外 ,如果另一主星m2 的有效面质比亦较大 ,则情况更复杂一些 .考虑运动小天体和另一主星m2 均受主星m1 辐射作用的情况 ,从严格的数字模型着手建立相应的基本方程 ,讨论辐射作用对质心旋转坐标系中积分的存在和平衡解的影响 .在主星m1辐射不是特别强和另一主星m2 的有效面质比不是很大的情况下 ,这种辐射作用不会使原限制性三体问题的基本特征发生本质性的变化更多还原

【Abstract】 On the general restricted three-body problem, if the radiation pressure of one primary body is considered, the motion of the small body m will change. But the radiation pressure is different from the gravitational force, the magnitude of which is related to the efficient ratio of area to mass(denoted by S/m,abbreviated to ERAM).When the radiation of one primary body m 1 is very strong and the ERAM is also very large, the radiation pressure can’t be ignored, such as the effect of the solar light pressure on artificial satellites’ orbiting. Besides, if the ERAM of the other primary body m 2 is also very large, the case will be more complicated. In the paper considering that the small body and the other primary body are influenced by one primary body’s radiation pressure, we found the corresponding fundamental equations on the basis of the strict mathematic model, discuss the influence of the radiation pressure on both the existence of Jacobi integral and the equilibrium solutions, and analyze detailedly the influence of the different variables(including the mass of the primary body m 2, the magnitude of the radiation pressure on the small body, the magnitude of the radiation pressure on the primary body m 2)on the position of the libration points. Under the condition that the radiation pressure of the primary body m 1 is not very strong and the ERAM of the other primary body is not very large, the pressure won’t change the elementary characters of the original restricted three-body problem essentially.更多还原