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Zbl 0995.70009
Koon, W.S.; Lo, M.W.; Marsden, J.E.; Ross, S.D.
Low energy transfer to the Moon. (English)
[J] Celest. Mech. Dyn. Astron. 81, No.1-2, 63-73 (2001). ISSN 0923-2958; ISSN 1572-9478/e

In 1991 the Japanese Hiten mission used a low energy transfer with a ballistic capture at the Moon which required less $\Delta V$ than a standard Hohmann transfer. In this paper the authors apply the dynamical system techniques developed in their earlier works to reproduce systematically a Hiten-like mission. They approximate the Sun-Earth-Moon-spacecraft four-body system as two three-body systems. Using the invariant manifold structure of Lagrange points of three-body system, they construct low energy transfer trajectories from the Earth which execute ballistic capture at the Moon. The techniques used in the design of this trajectory may be applied in many situations.
[Yoshihide Kozai (Suginami Tokyo)]

MSC 2000:: *70F15 Celestial mechanics
70F07 Three-body problem
37N05 Dynamical systems in classical and celestial mechanics
70M20 Orbital mechanics

Keywords: Hiten mission; low energy transfer; dynamical system techniques; Sun-Earth-Moon-spacecraft four-body system; three-body systems; invariant manifold structure; Lagrange points

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