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.
|Number of pages||13|
|Journal||Communications in Nonlinear Science and Numerical Simulation|
|Publication status||Published - Feb 2012|
- Bicircular model
- Coupled three-body problem approximation
- Poincaré section
- Regions of prevalence