Abstract
In this work, trajectories connecting LEOs with halos around libration points of the Earth–Moon CRTBP are investigated. Suitable first guess solutions are searched linking together the stable manifolds of the halo orbits (of the EM spatial CRTBP) with the Earth-departing trajectories (built in the SE planar CRTBP). As a first step, small discontinuities, in terms of Δv are allowed and bounded through the box-covering approach, implemented with the software GAIO. Then, the first guess solutions are optimized in the bicircular four-body problem: single-impulse and two-impulse transfers are presented and discussed.
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References
Szebehely, V.: Theory of Orbits: the Restricted Problem of Three Bodies, Academic Press New York (1967)
Belbruno, E.A. and Miller, J.K.: Sun-Perturbed Earth-to-Moon Transfers with Ballistic Capture. Journal of Guidance Control and Dynamics 16, 770–775 (1993)
Betts, J.T.: Survey of Numerical Methods for Trajectory Optimization. Journal of Guidance control and dynamics 21, 193–207 (1998)
Dellnitz, M. and Junge, O.: Set Oriented Numerical Methods for Dynamical Systems. Handbook of dynamical systems 2, North-Holland (2002)
Enright, P.J. and Conway, B.A.: Discrete Approximations to Optimal Trajectories Using Direct Transcription and Nonlinear Programming. Journal of Guidance Control and Dynamics 15,994–1002 (1992)
Farquhar, R.: Future Missions for Libration-Point Satellites. Astronautics and Aeronautics 7, 52–56 (1969)
Gómez, G. and Koon, WS and Lo, MW and Marsden, JE and Masdemont, J. and Ross, SD: Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Nonlinearity 17, IOP Publishing (2004)
Koon, W.S. and Lo, M.W. and Marsden, J.E. and Ross, S.D.: Heteroclinic Connections Between Periodic Orbits and Resonance Transitions in Celestial Mechanics. Chaos: An Interdisciplinary Journal of Nonlinear Science 10,(2000)
Koon, W. and Lo, M. and Marsden, J. and Ross, S.: Low Energy Transfer to the Moon. Celestial Mechanics and Dynamical Astronomy 81, 63–73 (2001)
Parker, J.S.: Families of Low-Energy Lunar Halo Transfers. AAS/AIAA Spaceflight Dynamics Conference 90, 1–20 (2006)
Simó, C. and Gómez, G. and Jorba, A. and Masdemont, J.: The Bicircular Model near the Triangular Libration Points of the RTBP. From Newton to Chaos pp. 343–370 (1995)
Acknowledgements
This work was supported by the Marie Curie Actions Research and Training Network AstroNet, Contract Grant No. MCRTN-CT-2006-035151.
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Zanzottera, A., Mingotti, G., Castelli, R., Dellnitz, M. (2011). Low-Energy Earth-to-Halo Transfers in the Earth–Moon Scenario with Sun-Perturbation. In: Nonlinear and Complex Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0231-2_3
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DOI: https://doi.org/10.1007/978-1-4614-0231-2_3
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