Results 11 to 20 of about 1,446,784 (362)
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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Periodic orbits in chaotic systems simulated at low precision [PDF]
Scientific Reports, 2023 Non-periodic solutions are an essential property of chaotic dynamical systems. Simulations with deterministic finite-precision numbers, however, always yield orbits that are eventually periodic.
Milan Klöwer +3 more
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Evolution of Periodic Orbits within the Frame of Formation Satellites [PDF]
Advances in Astronomy, 2020 In the framework of formation satellites, the periodic orbits of deputy satellite are analyzed when the chief satellite is moving in an elliptical orbit. This analysis is developed on 1- to 10-loop periodic orbits of the deputy satellite.
Elbaz I. Abouelmagd +2 more
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Isostable reduction of periodic orbits
Physical Review E, 2016 The well-established method of phase reduction neglects information about a limit-cycle oscillator's approach towards its periodic orbit. Consequently, phase reduction suffers in practicality unless the magnitude of the Floquet multipliers of the underlying limit cycle are small in magnitude.
Dan, Wilson, Jeff, Moehlis
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Chains of rotational tori and filamentary structures close to high multiplicity periodic orbits in a 3D galactic potential [PDF]
, 2011 This paper discusses phase space structures encountered in the neighborhood of periodic orbits with high order multiplicity in a 3D autonomous Hamiltonian system with a potential of galactic type. We consider 4D spaces of section and we use the method of
A. D. PINOTSIS +3 more
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Resonant periodic orbits in the exoplanetary systems
, 2013 The planetary dynamics of $4/3$, $3/2$, $5/2$, $3/1$ and $4/1$ mean motion resonances is studied by using the model of the general three body problem in a rotating frame and by determining families of periodic orbits for each resonance.
Antoniadou, K. I., Voyatzis, G.
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Symmetric periodic solution around asteroid 216 Kleopatra and its stability in the presence of solar radiation pressure [PDF]
فصلنامه علوم و فناوری فضایی, 2021 In this paper, the dumbbell model is used for gravity field of asteroid 216 Kleopatra. Utilizing the model results in governing equations of motion of a spacecraft around an asteroid similar to those of motion of a spacecraft in the restricted circular ...
Mahdi Jafari Nadoushan, Kosar Aramkhah
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Precessing and periodic orbits around hairy black holes in Horndeski’s Theory
The European Physical Journal C, 2023 We investigate the dynamics of neutral timelike particles around a hairy black hole in Horndeski’s theory, which is characterized by a coupling parameter with the dimension of length.
Hou-Yu Lin, X. Deng
semanticscholar +1 more source
Coarse Graining the State Space of a Turbulent Flow Using Periodic Orbits. [PDF]
Physical Review Letters, 2020 We show that turbulent dynamics that arise in simulations of the three-dimensional Navier-Stokes equations in a triply periodic domain under sinusoidal forcing can be described as transient visits to the neighborhoods of unstable time-periodic solutions.
Gökhan Yalnız, B. Hof, N. B. Budanur
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