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Publications (7)
In this paper, we show a low energy Earth–Moon transfer in the context of the Sun–Earth–Moon–spacecraft 4-body system. We consider the 4-body system as the coupled system of the Sun–Earth–spacecraft 3-body system perturbed by the Moon (which we call the Moon-perturbed system) and the Earth–Moon–spacecraft 3-body system perturbed by the Sun (which w...
For the sake of space mission design, it is indispensable to develop low-energy trajectories from the viewpoint of fuel cost. As one of the approaches to such low-energy trajectories, the Coupled Planar Restricted Circular Three-Body Problem(PRC3BP) was proposed by using the tube dynamics associated with unstable Lagrange points. In this paper, we...
For the sake of spacecraft mission design, it is indispensable to develop a low energy transfer of spacecrafts using very little fuel for interplanetary transport network. The Planar Circular Restricted Three-Body Problem (PCR3BP) has been a fundamental tool for the analysis \
of such a space mission design. In this paper, we explore stable and uns...
For the design of spacecraft transfer orbits in the Earth-Moon system, we need to model the dynamics in the context of the Planar Elliptic Restricted Three-Body Problem (PER3BP) since it has a non-negligible eccentricity. In this paper, we investigate invariant manifolds of the PER3BP by analyzing Lagrangian Coherent Structures (LCS). In particular...
In this paper, we develop the low energy trajectory design of a spacecraft from the Earth to the Moon in the context of the Planar Restricted Four Body Problem, which may be approximately modeled by coupling two Planar Restricted Three Body Problems, i.e., the Sun-(Earth+Moon)-Spacecraft and the Earth-Moon-Spacecraft systems. The principal idea lie...
In this paper, we study symmetry reduction for a binary asteroid system modeled by a rigid body and a particle. In particular, we demonstrate how translational and rotational symmetry reduction appeared in the binary asteroid system can be carried out in the context of Dirac reduction by stages and with the associated reduction of implicit Hamilton...
