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

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Nonlinear and Complex Dynamics

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.

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  1. University of Paderborn, WarburgerStr. 100, 33098, Paderborn, Germany

    Roberto Castelli

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  1. Roberto Castelli
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Correspondence to Roberto Castelli .

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Castelli, R. (2011). On the Relation Between the Bicircular Model and the Coupled Circular Restricted Three-Body Problem Approximation. In: Nonlinear and Complex Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0231-2_4

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  • DOI: https://doi.org/10.1007/978-1-4614-0231-2_4

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-0230-5

  • Online ISBN: 978-1-4614-0231-2

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