On the Relation Between the Bicircular Model and the Coupled Circular Restricted Three-Body Problem Approximation

Chapter

Abstract

This chapter concerns the relation between the Bicircular model and the Coupled circular restricted three-body problem approximation. The comparison between the differential equations governing the dynamics in the different systems 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 dynamical system theory and the Coupled circular restricted three-body problem approach is followed to design first guess trajectories for a spacecraft travelling under the Sun–Earth–Moon gravitational influence.

Keywords

Manifold 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.University of PaderbornPaderbornGermany

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