TY - JOUR
T1 - Regions of prevalence in the coupled restricted three-body problems approximation
AU - Castelli, Roberto
PY - 2012/2
Y1 - 2012/2
N2 - 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.
AB - 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.
KW - Bicircular model
KW - Coupled three-body problem approximation
KW - Poincaré section
KW - Regions of prevalence
UR - http://www.scopus.com/inward/record.url?scp=80052361784&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80052361784&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2011.06.034
DO - 10.1016/j.cnsns.2011.06.034
M3 - Article
AN - SCOPUS:80052361784
SN - 1007-5704
VL - 17
SP - 804
EP - 816
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 2
ER -