Results 1 to 10 of about 17,385 (315)
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 ...
Haokun Kang, Yu Jiang, Hengnian Li
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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.
Azmeer Nordin, Mohd Salmi Md Noorani
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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
K. Cieliebak +2 more
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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
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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
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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.
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Convergence time towards periodic orbits in discrete dynamical systems. [PDF]
PLoS ONE, 2014 We investigate the convergence towards periodic orbits in discrete dynamical systems. We examine the probability that a randomly chosen point converges to a particular neighborhood of a periodic orbit in a fixed number of iterations, and we use ...
Jesús San Martín, Mason A Porter
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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
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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
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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
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