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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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Analysis of Resonance Transition Periodic Orbits in the Circular Restricted Three-Body Problem [PDF]
Applied Sciences, 2022 Resonance transition periodic orbits exist in the chaotic regions where the 1:1 resonance overlaps with nearby interior or exterior resonances in the circular restricted three-body problem (CRTBP).
Shanshan Pan, Xiyun Hou
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Periodic Orbits Close to That of the Moon in Hill's Problem [PDF]
Frontiers in Astronomy and Space Sciences, 2018 In the framework of the restricted, circular, 3-dimensional 3-body problem Sun-Earth-Moon, Valsecchi et al. (1993) found a set of 8 periodic orbits, with duration equal to that of the Saros cycle, and differing only for the initial phases, in which the ...
Giovanni B. Valsecchi +1 more
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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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Quantum scarring in a spin-boson system: fundamental families of periodic orbits
New Journal of Physics, 2021 As the name indicates, a periodic orbit is a solution for a dynamical system that repeats itself in time. In the regular regime, periodic orbits are stable, while in the chaotic regime, they become unstable.
Saúl Pilatowsky-Cameo +5 more
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Linear flows on compact, semisimple Lie groups: stability and periodic orbits
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Our first purpose is to study the stability of linear flows on real, connected, compact, semisimple Lie groups. Our second purpose is to study periodic orbits of linear and invariant flows.
Simão Stelmastchuk
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Periodic Orbits of Quantised Restricted Three-Body Problem
Universe, 2023 In this paper, perturbed third-body motion is considered under quantum corrections to analyse the existence of periodic orbits. These orbits are studied through two approaches to identify the first (second) periodic-orbit types.
Elbaz I. Abouelmagd +2 more
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Symbolic Encoding of Periodic Orbits and Chaos in the Rucklidge System
Complexity, 2021 To describe and analyze the unstable periodic orbits of the Rucklidge system, a so-called symbolic encoding method is introduced, which has been proven to be an efficient tool to explore the topological properties concealed in these periodic orbits.
Chengwei Dong +3 more
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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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Universe, 2023 In this work, the perturbed equations of motion of the infinitesimal body are constructed in the framework of the circular restricted three-body problem when the main two bodies are oblate and radiating.
Bhavika M. Patel +2 more
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