2020-07-13T20:26:31Zhttps://ir.soken.ac.jp/?action=repository_oaipmhoai:ir.soken.ac.jp:000004062019-12-12T05:40:34Z00002:00427:00011
Motion around Triangular Language Points Perturbed by Other BodiesMotion around Triangular Language Points Perturbed by Other Bodiesenghttp://id.nii.ac.jp/1013/00000406/Thesis or Dissertation荒木田, 英禎アラキダ, ヒデヨシHideyoshi, ARAKIDA総合研究大学院大学博士（理学）総研大甲第585号2002-03-22We discovered a dramatically large difference in the the motion of a test particle in the vicinity of triangular Lagrange points, L4 and L5, between the restricted three body and the N-body (N >= 4) problems. We revealed that this is caused by the forced oscillation term due to the third and other perturbing bodies since the net of gravity force of the primary and secondary bodies almost vanishes around the Lagrange points in the corotational coordinate system. Taking into account the direct effects of the other perturbing bodies including the effects of their eccentricities up to the second order, we constructed an analytical theory of the motion of the test particle being linear with respect to the magnitude of departure from the Lagrange points, in the planar restricted N-body problem. We compared our analytical solution with a numerical integration and confirmed that the solution represents the linear part of the true solution so well that the residuals are only due to the non-linear effect of the primary and the secondary system mainly which we ignored. By using the solution, we discussed the global aspects of the orbit such as the existence region or the averaged position. The results will be useful in designing the orbit of near-future space missions to be located in the vicinity of the triangular Lagrange points.application/pdfhttps://ir.soken.ac.jp/?action=repository_action_common_download&item_id=406&item_no=1&attribute_id=19&file_no=10CC BY-NC-NDhttps://ir.soken.ac.jp/?action=repository_action_common_download&item_id=406&item_no=1&attribute_id=19&file_no=11CC BY-NC-NDauthor2010-02-22