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Showing 1 to 16 of 16 for “"CR3BP"”.
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A Solution to the Circular Restricted N Body Problem in Planetary Systems
… to the Circular Restricted Three Body Problem (CR3BP) with the Circular Restricted N Body Problem (CRNBP). It was found that this new formulation of the dynamics can then utilize the tools created from all the research into the CR3BP to reassess the possibility of different complex trajectories …
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Transport geometry of the restricted three-body problem
… 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 time-periodic perturbations of the CR3BP, such as the bicircular problem (BCP) and the …
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Coupled orbit-attitude mission design in the circular restricted three-body problem
… in the Circular Restricted Three-Body Problem (CR3BP). Given the more complex dynamical environment, mission applications may also benefit from deeper insight into the attitude motion. In this investigation, the attitude dynamics are coupled with the trajectories in the CR3BP. In a highly …
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Using the Circular Restricted Three-Body Problem to Design an Earth-Moon Orbit Architecture for Asteroid Mining
… to use the Circular Restricted 3-Body Problem (CR3BP) to design an orbit architecture composed of L3 Lyapunov orbits, hyperbolic invariant stable and unstable manifolds, and geosynchronous (GEO) orbits. A single shooting method (SSM) and natural parameter continuation (NPC) numerical algorithm …
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Designing Transfers Between Earth-Moon Halo Orbits Using Manifolds and Optimization
… 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 orbits in the CR3BP. The approach consists of …
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From the Earth to the Moon: A Multi-Domain Approach to Cislunar Space Domain Awareness
… 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 JPL Cislunar Three-Body Periodic Orbit …
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Automated detection of invariant manifold intersections using grid based approach
… is the circular restricted three-body problem (CR3BP) and the dynamical structure of interest are the invariant manifolds of the Euler-Lagrange points. The construction of LE trajectories in the CR3BP is most often accomplished by manually finding homoclinic and/or heteroclinic intersections of …
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Constrained Motion Analysis of Spacecraft Trajectory in Restricted Three Body Problem
… L1 considering the Earth’s circular orbit (i.e. CR3BP) ii) maintaining position at the L1 and L4 or L5 considering the Earth’s elliptical orbit (i.e. ER3BP) and iii) maintaining the three-dimension halo orbit around the L1 and L2 in CR3BP. The UK formulation is modified using Baumgarte’s …
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Solar Sailing Adaptive Control Around the Earth-Moon Lagrange Point L4 for Stellar Observations
… 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 equilateral Lagrange points and solar radiation …
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Safety-Driven, Time-Sensitive Approach Strategies for Rendezvous with the Lunar Gateway
… under circular restricted three-body problem (CR3BP) dynamic assumptions, resulting in a novel approach strategy for Gateway. The work addresses a hole in the currently proposed strategies by providing nominal and contingent strategies for visiting vehicles (VVs) to execute to safely and …
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A new numerical optimization method based on Taylor series for challenging trajectory optimization problems
… of the circular restricted three body problem (CR3BP), in particular the stable and unstable manifolds of a halo orbit about the interior L1 Lagrange point in the Earth-Moon system.
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Autonomous Space Surveillance for Arbitrary Domains
… and the circular restricted three-body problem (CR3BP) through MATLAB simulations. The linear solution method's accuracy is compared to the non-linear equations of relative motion and are seen to hold to meter level accuracy for deputy position for a variety of orbits and time-spans.</p> <p>Two …
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Trajectory design in the spatial circular restricted three-body problem exploiting higher-dimensional Poincare maps
… trajectory design applications in the spatial CR3BP are evaluated. New applications for these strategies are explored, including an analysis of the natural motion of Jupiter-family comets that experience temporary capture about Jupiter, and the search for periodic orbits in the vicinity of the …
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Natural and perturbed dynamics about Trojan bodies
… to Circular Restricted Three Body Problems (CR3BP), is here rebuilt from an analytical point of view and extended to the Lagrangian CR4BP. Moreover some topological properties of the WSB are introduced and applied, leading to analytical estimations of the set of stable orbits around the small …
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Astrometric and Photometric Data Fusion in Machine Learning-Based Characterization of Resident Space Objects
… in the circular restricted three body problem (CR3BP) framework of the Earth-Moon system. Additionally, stable and unstable invariant manifolds of the three colinear Lagrange point planar Lyapunov orbit families and the asso- ciated northern and southern halo orbit families are considered to …
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Assessing The Impact Of Spacecraft Fragmentation In The Cislunar Region
<p>In the last decades, space missions have followed great advancements due to technological improvements and the extensive research developed in the field. Some of these missions are increasingly focusing on satellites orbiting the Moon. The Cislunar region is known to have a higher non-linear …