Results 11 to 20 of about 20,514,878 (278)
The Simplest Complexity: The Story of the Three-Body Problem [PDF]
EntropyThis article offers a broad-brush account of the Newtonian three-body problem, from its origins with Newton to its vibrant present, emphasizing its enduring influence on theoretical physics.
Barak Kol
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Br J Gen PractPreprint v1 — An analytical characterization of the three-body problem in celestial mechanics. Abstract redacted pending IP review. Full abstract and unrestricted access will be available in v2 upon completion of intellectual property proceedings.
Hoban B.
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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. +8 more
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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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Reports on Progress in Physics, 2014 49 pages, 10 figures, Published in Reports on Progress in ...
Musielak, Z. E., Quarles, B.
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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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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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Numerical Investigation for Periodic Orbits in the Hill Three-Body Problem
Universe, 2020 The current work performs a numerical study on periodic motions of the Hill three-body problem. In particular, by computing the stability of its basic planar families we determine vertical self-resonant (VSR) periodic orbits at which families of three ...
Vassilis S. Kalantonis
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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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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
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