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Applications of Invariant Funnels in the Circular Restricted Three-Body Problem.
Applications of Invariant Funnels in the Circular Restricted Three-Body Problem.
- 자료유형
- 학위논문
- Control Number
- 0017204121
- International Standard Book Number
- 9798346390190
- Dewey Decimal Classification Number
- 629.1
- Main Entry-Personal Name
- Blanchard, Jared Todd.
- Publication, Distribution, etc. (Imprint
- [S.l.] : Stanford University., 2024
- Publication, Distribution, etc. (Imprint
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- Physical Description
- 175 p.
- General Note
- Source: Dissertations Abstracts International, Volume: 86-06, Section: B.
- General Note
- Advisor: Elschot, Sigrid.
- Dissertation Note
- Thesis (Ph.D.)--Stanford University, 2024.
- Summary, Etc.
- 요약The search for extraterrestrial life is one of the great adventures of our time, and we may not need to look farther than our own solar system to find it. Scientists have identified several ocean worlds, mostly orbiting the outer planets, that have large subsurface oceans that could be hospitable to some form of life. Of these worlds, Europa and Enceladus have emerged as the most promising targets. Europa Clipper, a dedicated mission to orbit Europa, is scheduled for this year, and Enceladus is slated for a New Frontiers mission in the next decade.Designing trajectories to such deep-space targets requires balancing multiple objectives. Science objectives are limited by fuel and time constraints. Study of the Circular Restricted Three-Body Problem (CR3BP) has allowed mission designers to find very efficient trajectories that arrive in realistic time frames. Because of the non-linear nature of the CR3BP, mission design work relies on intelligently sampling state space and parsing through trajectories. Dynamical systems theory provides qualitative tools such as the Poincare map that make it easier to visualize the high-dimensional state space. Furthermore, periodic and quasi-periodic orbits add structure to the chaotic dynamics, and their hyperbolic invariant manifolds play a key role in the mission design process. In this work, we develop new methods that blend these tools and theories into novel methods that are of immediate utility in the field.We discovered a method for computing invariant funnels around non-periodic trajectories that approach the secondary body. Invariant funnels are sets of trajectories that converge in position space to a target point. We detail how to compute these funnels and demonstrate that they that can be used to reduce the control effort required by a spacecraft approaching the secondary body. We also describe the Swiss cheese plot, a Poincare map that facilitates the mapping of the resonant structure of a given system and can be used to identify resonant trajectories to targets near the secondary body. The work in this thesis led to two New Technology Report (NTR) submissions at JPL, which were combined into a patent submission.
- Subject Added Entry-Topical Term
- Orbits.
- Subject Added Entry-Topical Term
- Aeronomy.
- Subject Added Entry-Topical Term
- Aerospace engineering.
- Index Term-Uncontrolled
- Invariant funnels
- Index Term-Uncontrolled
- Resonant trajectories
- Added Entry-Corporate Name
- Stanford University.
- Host Item Entry
- Dissertations Abstracts International. 86-06B.
- Electronic Location and Access
- 로그인을 한후 보실 수 있는 자료입니다.
- Control Number
- joongbu:658500
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