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

Anna Zanzottera, Giorgio Mingotti, Roberto Castelli, Michael Dellnitz

Research output: Contribution to journalArticle

30 Citations (Scopus)

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 Dv 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
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume17
Issue number2
Early online date5 Jul 2011
DOIs
Publication statusPublished - Feb 2012

Keywords

  • three-body problem
  • halo orbits
  • invariant manifolds
  • bo covering
  • bicircular model
  • trajectory optimisation

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