On the relationship between the Earth's weak stability boundary region and the low-energy transfers to the Moon

Elena Fantino, Gerard Gomez, Josep J. Masdemont, Yuan Ren

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

The term Weak Stability Boundary (WSB) is related to a region of stable motion around the second primary of a circular restricted three-body problem (CR3BP). Previous work on this subject has shown that, at a given energy level, the boundaries of such region are provided by the stable manifolds of central objects of the L1 and L2 libration points, i.e., the two planar Lyapunov orbits (PLOs). This offers a natural dynamical channel between the Earth's vicinity and the Sun-Earth libration points L1 and L 2. Furthermore, it has been shown (and successfully employed to design low-energy spacecraft lunar transfers) that the Sun-Earth L2 central unstable manifolds can be linked, through an heteroclinic connection, to the central stable manifolds of the L2 point in the Earth-Moon three-body problem. The aim of the present study is to clarify the relationship between the low-energy Earth-to-Moon transfers (LETs) and the dynamics of the phase space points that populate the WSB region around the Earth. The present work develops through an extensive and systematic exploration of the trajectories connecting planar Lyapunov orbits corresponding to all the possible combinations of two libration points in the Sun-Earth and Earth-Moon CR3BPs, kinematically coupled. The results of such exploration give us a deeper and more.

Original languageBritish English
Title of host publication60th International Astronautical Congress 2009, IAC 2009
Pages5187-5197
Number of pages11
StatePublished - 2009
Event60th International Astronautical Congress 2009, IAC 2009 - Daejeon, Korea, Republic of
Duration: 12 Oct 200916 Oct 2009

Publication series

Name60th International Astronautical Congress 2009, IAC 2009
Volume7

Conference

Conference60th International Astronautical Congress 2009, IAC 2009
Country/TerritoryKorea, Republic of
CityDaejeon
Period12/10/0916/10/09

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