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BRAKE ORBITS WITH MINIMAL PERIOD ESTIMATES OF FIRST-ORDER ANISOTROPIC HAMILTONIAN SYSTEMS: 《Acta Mathematica Scientia》2025年第2期347-362,共16页Xiaofei ZHANG Chungen LIU; supported by the NSFC(12301138);the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(2021L377);the Doctoral Scientific Research Foundation of Shanxi Datong University(2018-B-15);The second author’s work was supported by the NSFC(12171108).; In this paper,the problem of brake orbits with minimal period estimates are considered for the first-order Hamiltonian systems with anisotropic growth,i.e.,the Hamiltonian functions may have super-quadratic,sub-quadra...; 关键词：Hamiltonian system anisotropic growth brake orbit Lo-index

Anomalous open orbits in Hofstadter spectrum of Chern insulator: 《Science China(Physics,Mechanics & Astronomy)》2025年第3期139-144,共6页Haijiao Ji Peng Zhou Noah F.Q.Yuan Hua Jiang Haiwen Liu X.C.Xie; supported by the National Basic Research Program of China(Grant No.2017YFA0303301);the National Natural Science Foundation of China(Grant Nos.12022407,and 11974256);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB28000000)。; The nontrivial band topology of Chern insulator can enrich the content of its Hofstadter butterfly spectra,which is closely related to recent experiments in twisted bilayer graphene and cold atom systems.We investigat...; 关键词：Hofstadter spectrum topological phase transition open orbit

The super-connectivity of graphs with two orbits: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第4期571-583,共13页CHEN Lai-huan MENG Ji-xiang YANG Wei-hua LIU Feng-xia; Supported by the National Natural Science Foundation of Xinjiang(2020D04046);the National Natural Science Foundation of Shanxi(20210302123097);the National Natural Science Foundation of China(12371356,11961067).; A graph G is said to be super-connected or simply super-κ, if each minimum vertex cut of G isolates a vertex. A graph G is said to be a k-vertex-orbit graph if there are k vertex orbits when Aut(G) acts on V(G). A gr...; 关键词：super-connectivity superatom edge orbit

Aerogel-based collection of ejecta material from asteroids from libration point orbits:Dynamics and capture design: 《Astrodynamics》2024年第4期529-551,共23页Carlo Burattini Camilla Colombo Mirko Trisolini; the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No.896404-CRADLE;the European Research Council(ERC)under the European Union’s Horizon 2020 Research and Innovation Program(grant agreement No.679086-COMPASS).; Scientific interest in asteroids and their physical characteristics is growing.These bodies provide insights into the primordial solar system and represent a valuable source of metals,silicates,and water.Several missi...; 关键词：three-body problem ejecta dynamics bouncing behavior libration point orbits asteroid sample collection aerogel capture

Applications of knot theory to the detection of heteroclinic connections between quasi-periodic orbits: 《Astrodynamics》2024年第4期577-595,共19页Danny Owen Nicola Baresi; Heteroclinic connections represent unique opportunities for spacecraft to transfer between isoenergetic libration point orbits for zero deterministic∆V expenditure.However,methods of detecting them can be limited,typi...; 关键词：circular restricted three-body problem(CR3BP) quasi-periodic torus heteroclinic connection knot theory

Symmetric Brake Orbits with Minimal Period of First-order Anisotropic Hamiltonian Systems: 《Acta Mathematica Sinica,English Series》2024年第12期3079-3092,共14页Xiao Fei ZHANG Fan Jing WANG; supported by the National Natural Science Foundation of China(Grant No.12301138);the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(Grant No.2021L377);the Doctoral Scientific Research Foundation of Shanxi Datong University(Grant No.2018-B-15)。; Via the homology link theorem and the L0-index theory,symmetric brake orbits with minimal period are ensured for first-order Hamiltonian systems under anisotropic growth assumptions,which are variant forms of sub-quad...; 关键词：Hamiltonian system anisotropic growth brake orbit L 0-index

Tidal force effects and bound orbits in null naked singularity spacetime: 《Chinese Physics C》2024年第11期193-202,共10页Siddharth Madan Parth Bambhaniya; Naked singularities form during the gravitational collapse of inhomogeneous matter clouds.The final nature of the singularity depends on the initial conditions of the matter properties and types of matter profiles.The...; 关键词：black hole naked singularity tidal force bound orbits

Initial orbit determination of some cislunar orbits based on short-arc optical observations: 《Astrodynamics》2024年第3期455-469,共15页Xiyun Hou Bosheng Li Xin Liu Haowen Cheng Ming Shen Peng Wang Xiaosheng Xin; supported by the National Natural Science Foundation of China(No.12233003);The author Xiyun Hou also wishes to thank support from the Space Debris and Near-Earth Asteroid Defense Research Project of China(No.KJSP2020020205);support from the Laboratory of Pinghu,Pinghu,China.; Ground-and space-based optical observation is an efficient way to catalog objects in the cislunar space.Initial orbit determination based on optical data is still an open problem for cislunar objects.The motion of the...; 关键词：orbit determination cislunar too-short-arc(TSA) admissible region

Long-term Speckle Interferometric Monitoring of Binary Systems:2007–2023Positional Measurements and Orbits of Seven Objects: 《Research in Astronomy and Astrophysics》2024年第9期147-155,共9页Arina Mitrofanova Vladimir Dyachenko Anatoly Beskakotov Yuri Balega Alexander Maksimov Denis Rastegaev; the financial support of grant No.075-15-2022-262(13.MNPMU.21.0003)of the Ministry of Science and Higher Education of the Russian Federation。; The results of seventeen years of speckle interferometric monitoring of seven objects(Chara 122Aa,GJ 3010,HIP1987,GJ 3076,HIP 11253,HIP 11352,and HIP 14929)are presented.Observational data were obtained at the 6 m Big...; 关键词：techniques:high angular resolution (stars:)binaries:visual stars:fundamental parameters stars:low-mass stars:solar-type

Quasi-periodic orbits of small solar sails with time-varying attitude around Earth–Moon libration points: 《Astrodynamics》2024年第1期161-174,共14页Toshihiro Chujo; This paper proposes new quasi-periodic orbits around Earth–Moon collinear libration points using solar sails.By including the time-varying sail orientation in the linearized equations of motion for the circular restr...; 关键词：solar sail libration point orbit Earth-Moon system circular restricted three-body problem(CR3BP)

ORBITS