Results 11 to 20 of about 3,021,272 (295)
Rendezvous in Cis-Lunar Space near Rectilinear Halo Orbit: Dynamics and Control Issues
Aerospace, 2021 The paper presents the development of a fully-safe, automatic rendezvous strategy between a passive vehicle and an active one orbiting around the Earth–Moon L2 Lagrangian point.
Giordana Bucchioni, Mario Innocenti
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A statistical solution to the chaotic, non-hierarchical three-body problem [PDF]
Nature, 2019 The three-body problem is arguably the oldest open question in astrophysics and has resisted a general analytic solution for centuries. Various implementations of perturbation theory provide solutions in portions of parameter space, but only where ...
N. Stone, N. Leigh
semanticscholar +1 more source
Newton vs the machine: solving the chaotic three-body problem using deep neural networks [PDF]
Monthly notices of the Royal Astronomical Society, 2019 Since its formulation by Sir Isaac Newton, the problem of solving the equations of motion for three bodies under their own gravitational force has remained practically unsolved.
Philip G. Breen +3 more
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Chaos and Lévy flights in the three-body problem [PDF]
, 2020 We study chaos and Levy flights in the general gravitational three-body problem. We introduce new metrics to characterize the time evolution and final lifetime distributions, namely Scramble Density $\mathcal{S}$ and the LF index $\mathcal{L}$, that are ...
V. Manwadkar, A. Trani, N. Leigh
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The stationary points of the hierarchical three-body problem [PDF]
, 2020 We study the stationary points of the hierarchical three body problem in the planetary limit (m_2, m_3
B. Hansen, S. Naoz
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Lie series solution of the bicircular problem
Results in Physics, 2021 The present work performs a semi–analytical solution for the orbit of an infinitesimal particle in the framework of the bicircular Sun–Earth–Moon system.
Elbaz I. Abouelmagd +2 more
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Quantum three-body problems [PDF]
Science in China Series A: Mathematics, 2000 An improved hyperspherical harmonic method for the quantum three-body problem is presented to separate three rotational degrees of freedom completely from the internal ones. In this method, the Schrödinger equation of three-body problem is reduced to a system of linear algebraic equations in terms of the orthogonal bases of functions.
Ma, Zhong-Qi, Dai, An-Ying
openaire +2 more sources
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
doaj +1 more source
Results in Physics, 2022 The main goal of this work is to elucidate the effect of the inclusion of a rigid triaxial prolate primary body on the dynamics of the circular restricted three-body problem.
H.I. Alrebdi +2 more
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Solar sail Lyapunov and Halo orbits in the Earth–Moon three-body problem
Acta Astronautica, 2015 J. Heiligers +3 more
semanticscholar +3 more sources