Results 1 to 10 of about 11,209 (164)
On Langmuir’s periodic orbit [PDF]
Archiv Der Mathematik, 2022 Niels Bohr successfully predicted in 1913 the energy levels for the hydrogen atom by applying certain quantization rules to classically obtained periodic orbits. Many physicists tried to apply similar methods to other atoms. In his well-known 1921 paper, I.~Langmuir established numerically the existence of a periodic orbit in the helium atom considered
Martin Schwingenheuer, K Cieliebak
exaly +3 more sources
Convergence of a periodic orbit family close to asteroids during a continuation
Results in Physics, 2020 In this work, we study the continuation of a periodic orbit on a relatively large scale and discover the existence of convergence under certain conditions, which has profound significance in research on asteroids and can provide a total geometric ...
Yu Jiang, Hengnian Li
exaly +3 more sources
Orbit Growth of Periodic-Finite-Type Shifts via Artin–Mazur Zeta Function
Mathematics, 2020 The prime orbit and Mertens’ orbit counting functions describe the growth of closed orbits in a discrete dynamical system in a certain way. In this paper, we prove the asymptotic behavior of these functions for a periodic-finite-type shift.
Mohd Salmi Md Noorani, Azmeer Nordin
exaly +3 more sources
Remote Sensing, 2021 A hybrid ECOM (Empirical CODE Orbit Model) solar radiation pressure (SRP) model, which is termed ECOMC in this work, is proposed for global navigation satellite system (GNSS) orbit modeling.
Tzu-Pang Tseng
doaj +1 more source
Orbital stability and Zhukovskiǐ quasi-stability in impulsive dynamical systems
Open Mathematics, 2022 In this article, we deal with orbital stability and Zhukovskiǐ quasi-stability of periodic or recurrent orbits in an impulsive dynamical system defined in the n-dimensional Euclidean space Rn{{\mathbb{R}}}^{n}.
Li Kehua, Ding Changming
doaj +1 more source
Periodic Orbit Theory of Diffraction [PDF]
Physical Review Letters, 1994 An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic orbits which have arcs on the surface of singularity and which correspond to creping waves. A new family of resonances in the two disk scattering system can be well described
Vattay, G., Wirzba, A., Rosenqvist, P.
openaire +4 more sources
Orbital Magnetization in Periodic Insulators [PDF]
Physical Review Letters, 2005 submitted to PRL; signs corrected in Eqs. (11), (12), (19), and (20)
T. THONHAUSER +3 more
openaire +4 more sources
Results in Physics, 2019 We presented an overview of detailed continuation results of periodic orbit families which emanate from the equilibrium points (EPs) of irregular-shaped minor celestial bodies (hereafter called minor bodies).
Yu Jiang, Hexi Baoyin
doaj +1 more source
Research on the Lissajous Trajectory Transfer of Large Area Mass Ratio Solar Sail Spacecraft
Xibei Gongye Daxue Xuebao, 2020 Considering that the solar sail spacecraft working in the Lissajous orbit will be affected by the shadow of the earth or the solar wind, which sometime makes the spacecraft unable to work, we try to use the solar light pressure as the thrust to carry out
doaj +1 more source
Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This article is devoted to the research of a new codimension 3 homoclinic orbit bifurcation, which is the orbit-flip of weak type. Such kind of homoclinic orbit is a degenerate case of the orbit-flip homoclinic orbit.
Qiuying Lu, Guifeng Deng, Hua Luo
doaj +1 more source