Results 11 to 20 of about 766,122 (253)

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, Juan Luis García Guirao, Jaume Llibre   +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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On the equilibria of the restricted three-body problem with a triaxial rigid body, II: prolate primary

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, Fredy L. Dubeibe, Euaggelos E. Zotos   +2 more
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Periodic Solution of the restricted three body problem

Bibechana, 2013
The effect of perturbation in centrifugal force on the periodic solution of the restricted three-body problem representing analytic continuation of Keplerian rectilinear periodic motion has been examined.
MR Hassan, RR Thapa
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A New Analysis of the Three-Body Problem

, 2022
In the recent papers~[18],~[5], respectively, the existence of motions where the perihelions afford periodic oscillations about certain equilibria and the onset of a topological horseshoe have been proved. Such results have been obtained using, as neighbouring integrable system, the so--called two--centre (or {\it Euler}) problem and a suitable ...
Jerome Daquin, Sara Di Ruzza, Gabriella Pinzari   +2 more
openaire   +3 more sources

Global regularization method for planar restricted three-body problem [PDF]

Serbian Astronomical Journal, 2015
In this paper, global regularization method for planar restricted three-body problem is purposed by using the transformation z = x+iy = ν cos n(u+iv), where i = √−1, 0 < ν ≤ 1 and n is a positive integer. The method is developed analytically and
Sharaf M.A., Dwidar H.R.
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Autonomous Navigation Based on the Earth-Shadow Observation near the Sun–Earth L2 Point

Applied Sciences, 2022
This paper is devoted to a novel autonomous navigation method for spacecraft around the Sun–Earth L2 point. In contrast to the previous navigation methods, which rely on ground-based or inter-spacecraft measurements, the proposed method determines the ...
Qian Li, Yamin Wang, Chunli Zhu, Tong Qin   +3 more
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Three-Body Coulomb Problem

Physical 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
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The Three-Body Problem and the Anthropocene [PDF]

Contexto Internacional
The so-called Anthropocene is a new epoch characterized by deep biophysical changes that threaten the continuity of life on Earth for millions of species, including humans.
Veronica Korber Gonçalves, Thais Lemos Ribeiro, Cristina Yumie Aoki Inoue   +2 more
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