Computation of low energy Earth-to-Moon transfers with moderate flight time

Details Computation of low energy Earth-to-Moon transfers with moderate flight time Computation of low energy Earth-to-Moon transfers with moderate flight time

Oct 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phyd..197..313y&link_type=abstract

Physica D: Nonlinear Phenomena, Volume 197, Issue 3-4, p. 313-331.

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05.45.- A, 45.50.Pk, 95.10.Ce, 95.10.Eg, 95.10.Fh

Scientific paper

We consider a problem of constructing a spacecraft transfer trajectory with low cost and moderate flight time from the Earth to the Moon. We adopt the planar circular restricted three-body problem (PCR3BP) as the spacecraft model, and reduce computation of optimal transfers to a nonlinear boundary value problem (BVP). Using a computer software called AUTO, we numerically solve the nonlinear BVP and continue its solutions to obtain optimal transfers. Especially, we find a transfer trajectory having the same cost but 22% shorter flight time or having 7.5% lower cost, compared to the traditional Hohmann type transfer. Moreover, we show that these transfers are unstable in an appropriate meaning and closely relate to chaotic dynamics of the PCR3BP.

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