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 20 of 33 for “"Circular-Restricted Three-Body Problem"”.
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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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Trajectory design in the spatial circular restricted three-body problem exploiting higher-dimensional Poincare maps
… vicinity of the primary bodies in the spatial problem. Because current strategies to represent higher-dimensional maps, generally, lead to a loss of information, new approaches to represent all information contained in higher-dimensional Poincaré maps are sought. ^ The field of data …
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Spacecraft Orbit Design in the Circular Restricted Three-Body Problem Using Higher-Dimensional Poincaré Maps
<p>Strategies for designing three-dimensional spacecraft trajectories in a multi-body dynamical environment are investigated using four-dimensional Poincaré maps. Unlike the planar circular restricted three-body problem, where a two-dimensional map provides a simplified view of a portion of the …
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Using the Circular Restricted Three-Body Problem to Design an Earth-Moon Orbit Architecture for Asteroid Mining
… resources in space. One aspect of this transport problem is the design of an orbit architecture in the Earth-Moon system (EMS) that facilitates these resources through the mining cycle. In this thesis, it is proposed to use the Circular Restricted 3-Body Problem (CR3BP) to design an orbit …
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ΠΕΡΙΟΔΙΚΕΣ ΚΑΙ ΑΣΥΜΠΤΩΤΙΚΕΣ ΛΥΣΕΙΣ ΓΥΡΩ ΑΠΟ ΑΣΤΑΘΗ ΣΗΜΕΙΑ ΙΣΟΡΡΟΠΙΑΣ ΣΤΟ ΠΡΟΒΛΗΜΑ ΤΩΝ ΤΡΙΩΝ ΣΩΜΑΤΩΝ
… SYSTEMS ARE AMONG OTHERS, THE CLASSICAL "THREE BODY PROBLEM" AND ITS SIMPLIFIED VERSIONS KNOWN AS THE (CIRCULAR) "RESTRICTED THREE-BODY PROBLEM" AND THE "ELLIPTIC RESTRICTED THREE- BODY PROBLEM". THISTHESIS CONSISTS OF EIGHT CHAPTERS: IN CHAPTER 1 WE GIVE THE EQUATIONS OF MOTION OF THE …
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Low thrust augmented periodic orbits in the two- and three-body problems
… around collinear libration points in the circular restricted three-body problem. In the Earth-Moon system, position-only feedback is used to stabilise the local dynamics, and interesting new multiply-periodic orbits are generated. The in-plane and out-of plane natural frequencies are then …
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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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Astrodynamics of the Next Generation Space Weather Prediction Mission
… monitoring satellites is investigated. Using the Circular Restricted Three Body Problem (CRTBP) as an early assessment of transfer trajectories to Libration point orbits around Earth and the other inner planets. Single and multiple shooting methods are implemented and used to find solutions to the …
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Coupled Dynamics in the Cislunar Region and Spacecraft Attitude Prediction in a Higher-Fidelity Model
… cislunar region of space is a complex, multi-body dynamical environment that cannot be modeled trivially. Traditional point-mass assumptions made to simplify the mission design process may be insufficient for accurately predicting spacecraft motion in environments where orbit-attitude coupling …
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Spacecraft trajectory design utilizing resonance orbits in a hybrid optimal control framework
… subset of trajectory design, particularly in the three-body space. These trajectories use the inherent stability and instability of certain orbits as a means of fuel efficient transfers. Traditionally, work on these types of trajectories has taken a very “hands on” approach from the …
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Lunar Laser Ranging for Autonomous Cislunar Spacecraft Navigation
… platform was created to test this concept in the circular restricted three body problem and evaluate its performance. This navigation method was found to be successful for a subset of Lyapunov and halo orbits when cycling the five measurement targets. Simulation data showed that sub-kilometer …
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Design of transfers from Earth-Moon L 1/L2 libration point orbits to a destination object
… by a coupling between different multi-body gravitational environments across two-, three- and four body systems. This investigation employs an approach to solve the general problem for transfers from the Earth-Moon libration point orbits to a destination object. Mars, Jupiter, and a …
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Multiple Gravity Assists for Low Energy Transport in the Planar Circular Restricted 3-Body Problem
… to the study of low energy transport in multibody gravitational systems. Despite continuing advancements in computational abilities, such studies can often be demanding or time consuming in the three-body and four-body settings. In this work, the Hamiltonian describing the planar circular …
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Machine learning-aided trajectory optimization and tour design
… analysis, the repeated solution of Lambert’s problem often becomes a major computational bottleneck. Meanwhile, the number of possible flyby sequences grows combinatorially as the number of flybys increases, and each sequence is associated with a distinct cost function topology, making …
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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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Investigation Into Geometry and Behavior of Cislunar GEO-Grazer Orbits
… is conducted primarily within the planar circular restricted three-body problem (PCR3BP), using the Jacobi constant to characterize different geometries and timescales of GEO-grazers. Case studies of real cislunar objects are first examined to demonstrate that GEO-grazing behavior has …
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On the dynamics, stability and control of displaced lunar orbits
… linear order are investigated in the Earth-Moon circular restricted three-body problem (CRTBP). In particular, periodic orbits near the libration points in the Earth-Moon system will be explored along with their applications. A hybrid concept for displaced lunar orbits has been developed to …
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