Results 1 to 10 of about 1,324,757 (302)
Preprint 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.
europepmc +5 more sources
Analysis of the spatial quantized three-body problem
In this paper, a new version of the restricted three-body problem is considered. That is the spatial quantized restricted three-body problem. The equations of motion of the infinitesimal body are constructed.
A.A. Alshaery, Elbaz I. Abouelmagd
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The Simplest Complexity: The Story of the Three-Body Problem [PDF]
This 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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On the libration collinear points in the restricted three – body problem
In the restricted problem of three bodies when the primaries are triaxial rigid bodies, the necessary and sufficient conditions to find the locations of the three libration collinear points are stated.
Alzahrani F. +3 more
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Rendezvous in Cis-Lunar Space near Rectilinear Halo Orbit: Dynamics and Control Issues
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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49 pages, 10 figures, Published in Reports on Progress in ...
Musielak, Z. E., Quarles, B.
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Lie series solution of the bicircular problem
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
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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Quantum three-body problems [PDF]
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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Periodic Orbits of Quantised Restricted Three-Body Problem
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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