Results 11 to 20 of about 767,122 (251)
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 +7 more sources
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
doaj +3 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
doaj +3 more sources
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
doaj +2 more sources
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
doaj +1 more source
49 pages, 10 figures, Published in Reports on Progress in ...
Musielak, Z. E., Quarles, B.
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
openaire +2 more sources
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
doaj +1 more source

