Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun-Earth-Moon scenario

A. Zanzottera*, G. Mingotti, R. Castelli, M. Dellnitz

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

This work deals with the design of transfers connecting LEOs with halo orbits around libration points of the Earth-Moon CRTBP using impulsive maneuvers. Exploiting the coupled circular restricted three-body problem approximation, suitable first guess trajectories are derived detecting intersections between stable manifolds related to halo orbits of EM spatial CRTBP and Earth-escaping trajectories integrated in planar Sun-Earth CRTBP. The accuracy of the intersections in configuration space and the discontinuities in terms of Δ v are controlled through the box covering structure implemented in the software GAIO. Finally first guess solutions are optimized in the bicircular four-body problem and single-impulse and two-impulse transfers are presented.

Original languageEnglish
Pages (from-to)832-843
Number of pages12
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume17
Issue number2
DOIs
Publication statusPublished - Feb 2012

Keywords

  • Bicircular model
  • Box covering
  • Halo orbits
  • Invariant manifolds
  • Three-body problems
  • Trajectory optimization

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