- Astro and Planetary Science
- Stellar, planetary, and galactic studies
- Spacecraft Dynamics and Control
- Planetary Science and Exploration
- Quantum chaos and dynamical systems
- Astrophysics and Star Formation Studies
- Space Satellite Systems and Control
- Stochastic processes and statistical mechanics
- Markov Chains and Monte Carlo Methods
- Theoretical and Computational Physics
- Random Matrices and Applications
- Advanced Thermodynamics and Statistical Mechanics
- Advanced Mathematical Modeling in Engineering
- Nuclear physics research studies
- Geometric Analysis and Curvature Flows
- Geophysics and Gravity Measurements
- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- Land Use and Ecosystem Services
- Methane Hydrates and Related Phenomena
- Nonlinear Waves and Solitons
- Urban Green Space and Health
- Gas Dynamics and Kinetic Theory
- Mathematical Biology Tumor Growth
- Laser-Ablation Synthesis of Nanoparticles
Northumbria University
2025
Nanjing University
2015-2024
Beijing Academy of Agricultural and Forestry Sciences
2024
State Forestry and Grassland Administration
2024
Shenyang Agricultural University
2024
University of California, Los Angeles
2018
Florida State University
2017
California Institute of Technology
2013-2015
UCLA Health
2006
Abstract In our solar system, spin–orbit resonances are common under Sun–planet, planet–satellite, and binary asteroid configurations. this work, high-order secondary investigated by taking numerical analytical approaches. Poincaré sections as well two types of dynamical maps produced, showing that there complicated structures in the phase space. To understand structures, we adopt theory perturbative treatments to formulate resonant Hamiltonian for describing resonances. The results show is...
High-order analytical solutions around the triangular libration points in circular restricted three-body problem (CRTBP) are constructed this paper. It is known that linearized equations of motion CRTBP have three pairs imaginary characteristic roots, for all values mass parameter μ less than μc (Routh's critical value) except a set values. That is, linearly stable. To describe general dynamics explicitly, expanded as power series amplitude parameters: α corresponding to long periodic...
In this work, we introduce a modified double-averaging approach by considering the short-term effects and formulate more accurate double-averaged Hamiltonian (in comparison to classical octupole-level Hamiltonian) for hierarchial triple systems. The is expressed as power series in ratio of semi-major axes inner outer binaries. Both Delaunay's elements orbit are adopted describe motion. To derive secular Hamiltonian, oscillations averaged out means approach. particular, during average over...
ABSTRACT In this work, a semi-analytical model is formulated up to an arbitrary order in the semimajor axis ratio of inner and outer binaries describe long-term (secular) dynamics test particles hierarchical triple systems. The third-body disturbing function expressed as Fourier series, where harmonic arguments are linear combinations perturber’s mean anomaly, particle’s longitude ascending node, argument pericentre. Based on series expansion, it straightforward arrive at secular equations...
The problem of orbit flips caused by eccentric von Zeipel-Lidov-Kozai effects is systematically investigated means three approaches, including Poincar\'e sections, dynamical system theory (periodic orbits and invariant manifolds) perturbation treatments. sections show that are due to the existence islands libration centered at inclination $90^{\circ}$, shows polar periodic manifolds, perturbative treatments indicate a certain critical argument. Using these boundaries flipping regions in...
Abstract Secular dynamics have been extensively studied in both the inner and outer restricted hierarchical three-body systems. In problem, quadrupole-order resonance (i.e., well-known Kozai resonance) causes large coupled oscillations of eccentricity inclination when maximum is higher than 39.2°, octupole-order leads to behavior orbital flips. flips due resonance. under systems are distinctly different. The mass ratio bodies could change circular angular momenta β , which significantly...
Abstract The dynamics of a probe orbiting moon can be significantly influenced by the non-coincidence between moon’s equatorial and orbital planes. Thus, we performed general analysis about effects angle (obliquity) above-mentioned planes (nodal phasing) nodal lines mother planet’s apparent orbit on lifetime probe. lifetime, strictly correlated to variations in eccentricity orbit, was evaluated starting from low values semi-major axis, moderate eccentricity, high inclination offer ground...
For coplanar or nearly orbits, the widths in semimajor axes of mean motion resonances (MMRs) with planets have been analytically characterized as functions eccentricity, but no satisfactory analytical models exist to consider resonance for inclined case. The present work intends develop an model aim producing 3D phase structures MMRs. a p:q at arbitrary inclination, we define characteristic argument σ = pλp − qλ + (q p)Ω, whose amplitude disturbing function is good indicator representing...
The dynamical behaviours of spacecrafts moving around uniformly rotating asteroids are investigated in this work. Based on the generalized inertia integrals asteroids, expression disturbing potential is derived as a trigonometric series terms mean anomaly, geographical longitude ascending node and argument pericentre. In manner, averaged models can be achieved by eliminating short-period or both short- long-period function. models, families stationary solutions with constant semi-major axis,...
Urban green spaces constitute a vital component of the ecosystem. This study focused on urban located within Fifth Ring Road Beijing, using Gaofen 7 (GF-7) as primary data source for analysis. The main objective was to develop system extracting and classifying in Beijing by applying deep learning machine algorithms, further, results were validated with ground survey samples. provides detailed extraction classification space coverage creating comprehensive evaluation system. findings indicate...
The purpose of this study is to identify orbits with quasi-constant orbital elements around a slowly rotating asteroid. To end, recurrence approach has been developed formulate the high-order averaged disturbing potential. order model can be determined based on irregularity asteroid and required accuracy. proposed presents significant advantages in studying long-term behaviors asteroids where second degree gravity fails or does not work well. applied an ellipsoid-shaped asteroid, families...
In this paper, the closed-form along-track boundedness condition for spacecraft relative motion around a slowly rotating asteroid is presented. As opposed to previously proposed criteria where three necessary constraints must be satisfied, current approach only requires enforce one constraint suppress drift, thus allowing two additional degrees of freedom in formation design. particular, adapt derived results applicable with relatively large size, via first-order analysis then extended...
Abstract Secular dynamics inside mean motion resonances (MMRs) plays an essential role in governing the dynamical structure of trans-Neptunian region and sculpting orbital distribution objects (TNOs). In this study, semianalytical developments are made to explore von Zeipel–Lidov–Kozai resonance MMRs. To end, a semi-secular model is formulated from averaging theory then single-degree-of-freedom integrable achieved based on adiabatic invariance approximation. particular, we introduce modified...