Regions of prevalence in the coupled restricted three-body problems approximation

详细信息    查看全文

• 作者：Roberto  ; Castelli  ; ;   ; ^{rcastelli@bcamath.org}
• 关键词：Bicircular model ; Coupled three-body problem approximation ; Poincaré ; section ; Regions of prevalence
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2012
• 出版时间：February 2012
• 年：2012
• 卷：17
• 期：2
• 页码：804-816
• 全文大小：2329 K

文摘

This work concerns the role played by a couple of the planar circular restricted three-body problem in the approximation of the bicircular model. The comparison between the differential equations governing the dynamics leads to the definition of region of prevalence where one restricted model provides the best approximation of the four-body model. According to this prevalence, the patched three-body problem approximation is used to design first guess trajectories for a spacecraft travelling under the Sun¨CEarth¨CMoon gravitational influence.