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Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time. (English) Zbl 1147.70316

The planar circular restricted three-body problem (the Earth, the Moon and a spacecraft) is used to construct Earth-to-Moon transfers with low cost and moderate flight time. The spacecraft motion in the frame of the restricted three-body problem is perturbed by the solar gravitation. The nonlinear boundary value problem is stated to compute the optimal (with the low energy) Earth-to-Moon transfers. Using a computer software called AUTO the authors solve the above mentioned optimal problem and then continue its solutions numerically to obtain the optimal transfers. It is noted that the use of the solar gravitation can further lower the transfer cost drastically. A short review of previous results is given.
See the author’s article in Physica D 197, No. 3-4, 313–331 (2004; Zbl 1076.70019) and E. Belbruno [Contemp. Math. 292, 17–45 (2002; Zbl 1021.70012)].

MSC:

70M20 Orbital mechanics
70F15 Celestial mechanics

Software:

AUTO
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References:

[2] Belbruno, E. A.: 1987, ’Lunar capture orbit, a method of constructing Earth–Moon trajectories and the lunar GAS mission’, Proceedings of AIAA/DGLR/JSASS International Electric Propulsion Conference, 11–13 May 1987, Colorado Springs, Paper No. AIAA 87-1054.
[4] Belbruno, E. A.: 2002, ’Analytic estimation of weak stability boundaries and low energy transfers’, In: A. Chenciner, R. Cushman, C. Robinson and Z. J. Xia (eds.),Celestial Mechanics, Contemporary Mathematics, Vol. 292, pp. 17–45, American Mathematical Society, Providence. · Zbl 1021.70012
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[8] Bello Mora, M., Graziani, F., Teofilatto, P., Circi, C., Porofilo, M. and Hechler, M.: 2000, ’A systematic analysis on weak stability boundary–transfers to the Moon’, Proceedings of the 51st International Astronautical Congress, 2-6 October 2000, Rio de Janeiro, Brazil, Paper No. IAF-00-A.6.03.
[16] Koon, W. S., Lo, M. W., Marsden, J. E. and Ross, S. D.: 2000b, ’Shoot the moon’, In: C. A. Kluever, B. Neta, C. D. Hall and J. M. Hanson (eds.), AAS/AIAA Spaceflight Mechanics Meeting, 23–26 January 2000, Clearwater, FL, AAS Vol. 105, Part II, pp. 1017–1030.
[23] Yagasaki, K.: 2004, ’Computation of low energy Earth-to-Moon transfers with moderate flight time; Physica (in press). · Zbl 1076.70019
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