Targeting chaotic orbits to the Moon through recurrence

Details Targeting chaotic orbits to the Moon through recurrence Targeting chaotic orbits to the Moon through recurrence

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phla..204..373b&link_type=abstract

Physics Letters A, Volume 204, Issue 5-6, p. 373-378.

Physics

19

Scientific paper

Transport times for a chaotic system are highly sensitive to initial conditions and parameter values. In a previous paper, we presented a technique to find rough orbits (epsilon chains) that achieve a desired transport rapidly. The strategy is to build the epsilon chain from segments of a long orbit - the point is that long orbits have recurrences in neighborhoods where faster orbits must also pass. If a local hyperbolicity condition is satisfied, then a nearby shadow orbit may be constructed with significantly smaller errors. In this paper, we modify the technique to find real orbits, in configuration space, of the restricted three body problem. We find a chaotic Earth-Moon transfer orbit that achieves ballistic capture and that requires 38% less total velocity boost than a comparable Hohmann transfer orbit.

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