Results 11 to 20 of about 645,356 (284)
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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New periodic orbits in the solar sail three-body problem [PDF]
, 2011 We identify displaced periodic orbits in the circular restricted three-body problem, wher the third (small) body is a solar sail. In particular, we consider solar sail orbits in the earth-sun system which are high above the exliptic plane.
Biggs, J.D., Waters, T., McInnes, C.R.
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An optimal gains matrix for time-delay feedback control [PDF]
, 2009 In this paper we propose an optimal time-delayed feedback control (TDFC) for tracking unstable periodic orbits (UPOs). It is shown that TDFC will drive a trajectory onto a periodic orbit while minimising an integral of a cost function of the error in ...
Biggs, James, McInnes, Colin R.
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New periodic orbits in the solar sail restricted three body problem [PDF]
, 2008 In this paper we consider periodic orbits of a solar sail in the Earth-Sun restricted three-body problem. In particular, we consider orbits which are high above the ecliptic plane, in contrast to the classical Halo orbits about the collinear equilibria ...
Biggs, J.D., Waters, Thomas, McInnes, C.
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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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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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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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Analysis and control of displaced periodic orbits in the Earth-Moon system [PDF]
, 2009 We consider displaced periodic orbits at linear order in the circular restricted Earth-Moon system, where the third massless body is a solar sail. These highly non-Keplerian orbits are achieved using an extremely small sail acceleration. In this paper we
Simo, Jules, McInnes, Colin R.
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Time-delayed feedback control in astrodynamics [PDF]
, 2009 In this paper we present time-delayed feedback control (TDFC) for the purpose of autonomously driving trajectories of nonlinear systems into periodic orbits.
Biggs, James D., McInnes, Colin R.
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