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

Roberto Castelli*

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review


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-Earth-Moon gravitational influence.

Original languageEnglish
Pages (from-to)804-816
Number of pages13
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number2
Publication statusPublished - Feb 2012


  • Bicircular model
  • Coupled three-body problem approximation
  • Poincaré section
  • Regions of prevalence


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