Xiaoyu Fu

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• Doctor of Space Engineering
• Postdoctoral Research Associate at University of Liverpool

Periodic orbits in the Restricted Three-Body Problem are widely adopted as nominal trajectories by different missions. To maintain periodic orbits in a three-body regime, a stationkeeping strategy based on a high-order Target Point Approach (TPA) is proposed, where fuel-optimal and error-robust TPA parameters are acquired from stochastic global opt...

This study investigates the evolution of equilibrium points (EPs) in the dynamical environment of a rotating asteroid, parametrized with respect to a single governing physical parameter. The polyhedral model is employed to accurately represent the asteroid’s gravity field, and the corresponding equations of motion are parametrized using a general...

The dynamical environment around the asteroid (162173) Ryugu is analyzed in detail using a constant-density polyhedron model based on the measurements from the Hayabusa2 mission. Six exterior equilibrium points (EPs) are identified along the ridge line of Ryugu, and their topological classifications fall into two distinctive categories. The initial...

A novel high-order target phase approach (TPhA) for the station-keeping of periodic orbits is proposed in this work. The key elements of the TPhA method, the phase-angle Poincare map and high-order maneuver map, are constructed using differential algebra (DA) techniques to determine station-keeping epochs and calculate correction maneuvers. A stoch...

We present the solution approach developed by the team “TheAntipodes” during the 12th edition of the Global Trajectory Optimization Competition (GTOC12). An overview of the approach is as follows: (1) generate asteroid subsets, (2) chain building with beam search, (3) convex low-thrust trajectory optimization, (4) manual refinement of rendezvous ti...

We present the solution approach developed by the team `TheAntipodes' during the 12th edition of the Global Trajectory Optimization Competition (GTOC 12). An overview of the approach is as follows: (1) generate asteroid subsets, (2) chain building with beam search, (3) convex low-thrust trajectory optimization, (4) manual refinement of rendezvous t...

Quasi-satellite orbits (QSOs) have been under the research spotlight due to their linear stability and close proximity to the secondary body in a restricted three-body system. In this research, the numerical continuation and stationkeeping method of quasi-periodic QSOs is investigated based on the Poincaré section. By means of Differential Algebra...

The successful impact of the DART spacecraft onto Dimorphos, the secondary member of the Didymos binary asteroid system, has enabled the first-ever extensive observation of an asteorid's post-impact ejecta tail. Studying ejecta can provide insights into impact physics, asteroid composition, and inform future asteroid missions. In this research, the...

Fuzzy logical control is a robust and effective control method in industrial fields, which renders it applicable to the attitude control of a solar sail. However, it is hard to apply in black-box and time-varying problem as real solar sail attitude control. Considering the lack of a priori knowledge and the unacceptable manual workload in the desig...

This paper presents the solution approach developed by the team "theAntipodes" for the 11th Global Trajectory Optimization Competition (GTOC11). The approach consists of four main blocks: 1) mothership chain generation, 2) rendezvous table generation, 3) the dispatcher, and 4) the refinement. Blocks 1 and 3 are purely combinatorial optimization pro...

This paper presents the solution approach developed by the team “theAntipodes” for the 11th Global Trajectory Optimization Competition (GTOC11). The approach consists of four main blocks: (1) mothership chain generation, (2) rendezvous table generation, (3) the dispatcher, and (4) the refinement. Blocks 1 and 3 are purely combinatorial optimization...

To maintain the periodic orbits in a three-body regime, a high-order Target Phase Approach (TPhA) is proposed in this work. Two types of polynomial maps, the phase-angle Poincaré map and high-order maneuver map, are established respectively for the determination of stationkeeping epochs and calculation of correction maneuvers. A stochastic optimiza...

Despite the advantages of very-low altitude retrograde orbits around Phobos, questions remain about the efficacy of conventional station-keeping strategies in preventing spacecraft such as the Martian Moons eXploration from escaping or impacting against the surface of the small irregular moon. This paper introduces new high-fidelity simulations in...

Near Rectilinear Halo Orbits (NRHOs) are orbits of great interest for the upcom-ing lunar missions. To maintain NRHOs in a three-body regime, a stationkeeping strategy based on a high-order Target Point Approach (TPA) is proposed, where fuel-optimal and error-robust TPA parameters are acquired from stochastic global optimization. Accurate TPA manev...

CubeSat missions that take advantage of ride-sharing opportunities to the Moon are typically limited by a small ∆v budget. In this paper, a patching point method is applied to design a low-energy lunar transfer for a spacecraft initially placed into a circumlunar free-return trajectory. Initial conditions generated within weak stability boundaries...

Water ice and other volatile compounds found in permanently shadowed regions near the lunar poles have attracted the interests of space agencies and private companies due to their great potential for in-situ resource utilization and scientific breakthroughs. This paper presents the mission design and trade-off analyses of the Volatile Mineralogy Ma...

An integrated algorithm to design the optimal ascent trajectory of a target Sun-synchronous orbit (SSO) for small-lift launch vehicles is studied in this paper. A general problem description is provided, including the specific pitch law designed for an ascent trajectory to SSO and the definitions of design variables and equality/inequality constrai...

Near Rectilinear Halo Orbits (NRHOs) are orbits of great interest for the upcoming Lunar Orbital Platform-Gateway, an international effort led by NASA to extend the human presence beyond low-Earth orbits. As with other trajectories found in the Circular Restricted Three-Body Problem (CRTBP), NRHOs are sensitive to dynamical perturbations and naviga...

Space exploration has often benefitted from the qualitative analyses of non integrable problems enabled by numerical continuation procedures. Yet, standard approaches based on Newton's method typically end with discrete representations of family branches that may be subject to misinterpretation and overlook important dynamical features. In this res...

Close-proximity Coulomb formation flying offers attractive prospects in multiple astronautical missions. To achieve a deeper understanding of the dynamical structures of Coulomb formations, in this paper, an eight-charge symmetric configuration of Coulomb formation is presented and its dynamics is analyzed by center manifold reduction and Poincaré...

Due to the strong nonlinear perturbations near the libration points, the continuous low-thrust technique has many potential applications in stationkeeping relative motions. The Hamiltonian structure-preserving (HSP) control is employed in this paper to stabilize formation flying on quasi-periodic orbits near of the restricted Sun–Earth–Moon–spacecr...

Based on a well-established theoretical foundation, Lagrangian Coherent Structures (LCSs) have elicited widespread research on the intrinsic structures of dynamical systems in many fields, including the field of astrodynamics. Although the application of LCSs in dynamical problems seems straightforward theoretically, its associated computational co...

Currently, a tremendous amount of space debris in Earth’s orbit imperils operational spacecraft. It is essential to undertake risk assessments of collisions and predict dangerous encounters in space. However, collision predictions for an enormous amount of space debris give rise to large-scale computations. In this paper, a parallel algorithm is es...