Halo Orbits in the Photo-Gravitational Restricted Three-Body Problem

We study of halo orbits in the circular restricted three-body problem (CRTBP) with both the primaries as sources of radiation. The positioning of the triangular equilibrium points is discussed in a rotating coordinate system.

Periodic Orbits in the Photogravitational Restricted Problem When the Primaries Are Triaxial Rigid Bodies

We have studied periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are triaxial rigid bodies and source of radiation pressure. We have determined periodic orbits for different values of (h is energy constant;μ is mass ratio of the two primaries;are parameters of triaxial rigid bodies and are radiation parameters). These orbits have been determined by giving displacements along the tangent and normal at the mobile co-ordinates as defined in our papers (Mittal et al. [1]-[3]). These orbits have been drawn by using the predictor-corrector method. We have also studied the effect of triaxial bodies and source of radiation pressure on the periodic orbits by taking fixed value of μ.

考虑一个主星有辐射作用的限制性三体问题

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 。