Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 11 of 11 for “"Circular restricted three body problem (CR3BP)"”.
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A new numerical optimization method based on Taylor series for challenging trajectory optimization problems
New methods to solve trajectory optimization problems are devised. The methods use direct transcription to convert the continuous optimal control problem into a parameter optimization problem that can be solved with non-linear programming. In direct transcription the system equations must be …
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A Solution to the Circular Restricted N Body Problem in Planetary Systems
… thesis is a brief look at a new solution to a problem that has been approached in many different ways in the past - the N body problem. By focusing on planetary systems, satellite dynamics can be modeled in a fashion similar to the Circular Restricted Three Body Problem (CR3BP) with the …
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Transport geometry of the restricted three-body problem
This dissertation expands across three topics the geometric theory of phase space transit in the circular restricted three-body problem (CR3BP) and its generalizations. The first topic generalizes the low energy transport theory that relies on linearizing the Lagrange points in the CR3BP to …
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Designing Transfers Between Earth-Moon Halo Orbits Using Manifolds and Optimization
… the dynamical environment characterized by the Circular Restricted Three-Body Problem (CR3BP) will be especially important, both now and in the immediate future. The focus of this thesis is to develop a methodology that can be used to identify a valid low-cost transfer between a variety of …
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From the Earth to the Moon: A Multi-Domain Approach to Cislunar Space Domain Awareness
… sensors placed on periodic orbits within the Circular Restricted Three-Body Problem (CR3BP) through the development of a novel multivariate normal crossover technique for Genetic Algorithms that enables statistical local and global search of discrete populations. With this strategy, the entire …
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Automated detection of invariant manifold intersections using grid based approach
… such systems provide global transport in multi-body regimes, and therefore avenues to low-cost solutions in a minimum fuel or Delta-V sense. Trajectories using the natural dynamics are termed low-energy (LE), and typically include either impulsive or low-thrust control to navigate from one …
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Coupled orbit-attitude mission design in the circular restricted three-body problem
<p>Trajectory design increasingly leverages multi-body dynamical structures that are based on an understanding of various types of orbits in the Circular Restricted Three-Body Problem (CR3BP). Given the more complex dynamical environment, mission applications may also benefit from deeper insight …
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Solar Sailing Adaptive Control Around the Earth-Moon Lagrange Point L4 for Stellar Observations
… are obtained in the context of the Earth-Moon circular restricted three-body problem (CR3BP) and the Sun-Earth-Moon bi-circular restricted four-body problem (BCR4BP). Solar sailing is shown to offer a solution to a time-constrained problem by leveraging the neutrally stable dynamics of …
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Safety-Driven, Time-Sensitive Approach Strategies for Rendezvous with the Lunar Gateway
… been extensively studied and executed in the two-body dynamic context with the International Space Station (ISS). These operations are subject to numerous operational requirements to reduce the risk of approaches and ensure the safety of the crew and the space station itself. Missions to the …
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Autonomous Space Surveillance for Arbitrary Domains
… component, and a dynamics modeling component for three-body relative motion.</p> <p>For the image processing component, resident space objects, (commonly referred to as RSOs) which are satellites or orbiting debris are identified in optical images. Two methods of identifying RSOs in a set of …
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Astrometric and Photometric Data Fusion in Machine Learning-Based Characterization of Resident Space Objects
… methods for SSA. This is accomplished in three main parts: simulated and real-world case studies of object-specific dynamical and physical property inversion through Bayes’ theorem; initial results from a novel sensor system designed to autonomously collect data en masse on …