2016 Fiscal Year Final Research Report
Analysis of Multibody Dynamics Based on Dynamical Systems Theory and Its Applications to Space Mission Design
| Project/Area Number |
26400408
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Waseda University |
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Principal Investigator |
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| Research Collaborator |
ONOZAKI Kaori
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | 宇宙機のミッション計画 / 力学系理論 / 摂動３体系 / 不変多様体 / 有限次元リヤプノフ指数 / チューブダイナミクス |
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| Outline of Final Research Achievements |
The purpose of this research is to establish a low energy transfer from the Earth to the Moon by using the coupled 3-body system with perturbations for modeling the planar restricted 4-body system. We have detected the tubes which correspond to the stable and unstable manifolds of the perturbed systems by numerically extracting the LCS from the FTLE field. Then, we demonstrate how the LCS separates the orbits. I particular, using the characteristics of the tube structures, we obtain the family of trajectories that depart from the LEO and the family of those that arrive into the LLO. Finally we have shown how a low energy Earth-Moon transfer can be constructed by choosing an appropriate orbit from each family such that the required Delta V can be minimized under the given conditions.
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| Free Research Field |
非線形力学
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