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Abstract

In 1991, the Japanese Hiten mission used a low energy transfer with a ballistic capture at the Moon which required less ΔV than a standard Hohmann transfer. In this paper, we apply the dynamical systems techniques developed in our earlier work to reproduce systematically a Hiten-like mission. We approximate the Sun—Earth—Moon-spacecraft 4-body system as two 3-body systems. Using the invariant manifold structures of the Lagrange points of the 3-body systems, we are able to construct low energy transfer trajectories from the Earth which execute ballistic capture at the Moon. The techniques used in the design and construction of this trajectory may be applied in many situations.

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References

  • Belbruno, E. A. and Miller, J. K.: 1993, ‘Sun-perturbed Earth-to-Moon transfers with ballistic capture’, J. Guid. Cont. Dyn. 16, 770–775.

    Article  ADS  Google Scholar 

  • Conley, C.: 1968, ‘Low energy transit orbits in the restricted three-body problem’, SIAM J. Appl. Math. 16, 732–746.

    Article  MathSciNet  MATH  Google Scholar 

  • Koon W. S., Lo, M. W., Marsden, J. E. and Ross, S. D.: 2000, ‘Heteroclinic connections between Lyapunov orbits and resonance transitions in celestial mechanics’, Chaos 10, 427–469.

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  • Llibre, J., Martinez, R. and Sim, C.: 1985, Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near L2 in the restricted three-body problem’, J. Differ. Eq. 58, 104–156.

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  • McGehee, R. P.: 1969, ‘Some Homoclinic Orbits for the Restricted Three Body Problem’, PhD Thesis, University of Wisconsin, Madison, Wisconsin.

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  • Szebehely, V.: 1967, Theory of Orbits, The Restricted Problem of Three Bodies, Academic Press, New York and London.

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© 2001 Springer Science+Business Media Dordrecht

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Koon, W.S., Lo, M.W., Marsden, J.E., Ross, S.D. (2001). Low Energy Transfer to the Moon. In: Pretka-Ziomek, H., Wnuk, E., Seidelmann, P.K., Richardson, D.L. (eds) Dynamics of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1327-6_8

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  • DOI: https://doi.org/10.1007/978-94-017-1327-6_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5865-2

  • Online ISBN: 978-94-017-1327-6

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