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

doi:10.1016/j.cnsns.2011.06.032

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

Mechanical And Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

39 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 language	English
Pages (from-to)	832-843
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	2
Early online date	5 Jul 2011
DOIs	https://doi.org/10.1016/j.cnsns.2011.06.032
Publication status	Published - Feb 2012

Keywords

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

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10.1016/j.cnsns.2011.06.032

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

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 arecontrolled 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.",

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author = "Anna Zanzottera and Giorgio Mingotti and Roberto Castelli and Michael Dellnitz",

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Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun-Earth-Moon scenario. / Zanzottera, Anna; Mingotti, Giorgio; Castelli, Roberto et al.
In: Communications in Nonlinear Science and Numerical Simulation, Vol. 17, No. 2, 02.2012, p. 832-843.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Intersecting invariant manifolds in spatial restricted three-body problems

T2 - Design and optimization of Earth-to-halo transfers in the Sun-Earth-Moon scenario

AU - Zanzottera, Anna

AU - Mingotti, Giorgio

AU - Castelli, Roberto

AU - Dellnitz, Michael

PY - 2012/2

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AB - 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 arecontrolled 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.

KW - three-body problem

KW - halo orbits

KW - invariant manifolds

KW - bo covering

KW - bicircular model

KW - trajectory optimisation

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JO - Communications in Nonlinear Science and Numerical Simulation

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

Abstract

Keywords

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