Results 1 to 10 of about 4,005,719 (292)

The three-body problem [PDF]

open access: yesReports on Progress in Physics, 2014
The three-body problem, which describes three masses interacting through Newtonian gravity without any restrictions imposed on the initial positions and velocities of these masses, has attracted the attention of many scientists for more than 300 years ...
Musielak, Z. E., Quarles, B.
core   +5 more sources

Three-Body Coulomb Problem [PDF]

open access: yesPhysical Review X, 2017
We present a general approach for the solution of the three-body problem for a general interaction and apply it to the case of the Coulomb interaction. This approach is exact, simple, and fast.
R. Combescot
doaj   +3 more sources

Rendezvous in Cis-Lunar Space near Rectilinear Halo Orbit: Dynamics and Control Issues

open access: yesAerospace, 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
doaj   +1 more source

Quantum three-body problems [PDF]

open access: yesScience 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 Schr dinger 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

Relativistic Pythagorean three-body problem [PDF]

open access: yesPhysical Review D, 2021
Accepted by Phys Rev D.
Tjarda C. N. Boekholt   +2 more
openaire   +3 more sources

Lie series solution of the bicircular problem

open access: yesResults 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
doaj   +1 more source

Numerical Investigation for Periodic Orbits in the Hill Three-Body Problem

open access: yesUniverse, 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
doaj   +1 more source

Periodic Orbits of Quantised Restricted Three-Body Problem

open access: yesUniverse, 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

On the equilibria of the restricted three-body problem with a triaxial rigid body, II: prolate primary

open access: yesResults 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
doaj   +1 more source

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