• Title/Summary/Keyword: manifold with boundary

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Preliminary Study on Interplanetary Trajectory Design using Invariant Manifolds of the Circular Restricted Three Body Problem (원형 제한 3체 문제의 불변위상공간을 이용한 행성간 궤적설계 기초 연구)

  • Jung, Okchul;Ahn, Sangil;Chung, Daewon;Kim, Eunkyou;Bang, Hyochoong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.43 no.8
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    • pp.692-698
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    • 2015
  • This paper represents a trajectory design and analysis technique which uses invariant manifolds of the circular restricted three body problem. Instead of the classical patched conic method based on 2-body problem, the equation of motion and dynamical behavior of spacecraft in the circular restricted 3-body problem are introduced, and the characteristics of Lyapunov orbits near libration points and their invariant manifolds are covered in this paper. The trajectories from/to Lyapunov orbits are numerically generated with invariant manifolds in the Earth-moon system. The trajectories in the Sun-Jupiter system are also analyzed with various initial conditions in the boundary surface. These methods can be effectively applied to interplanetary trajectory designs.