Results 11 to 20 of about 4,006,732 (341)
Reports 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.
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Three-Body Coulomb Problem [PDF]
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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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 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
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Relativistic Pythagorean three-body problem [PDF]
Physical Review D, 2021 Accepted by Phys Rev D.
Tjarda C. N. Boekholt +2 more
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Analysis of the spatial quantized three-body problem
Results in Physics, 2020 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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Three-potential formalism for the atomic three-body problem [PDF]
, 1998 Based on a three-potential formalism we propose mathematically well-behaved Faddeev-type integral equations for the atomic three-body problem and descibe their solutions in Coulomb-Sturmian space representation.
Papp, Z.
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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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Stability Analysis and Optimization of Semi-Explicit Predictor–Corrector Methods
Mathematics, 2021 The increasing complexity of advanced devices and systems increases the scale of mathematical models used in computer simulations. Multiparametric analysis and study on long-term time intervals of large-scale systems are computationally expensive ...
Aleksandra Tutueva, Denis Butusov
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Quasi-conservative Integration Method for Restricted Three-body Problem
The Astrophysical Journal, 2023 The simplest restricted three-body problem, in which two massive points and a massless point particle attract one another according to Newton’s law of inverse squares, has pulsating Hill’s regions where the massless particle moves inside the closed ...
Yukitaka Minesaki
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Modelling the evolution of the two-planetary three-body system of variable masses
Mathematical Modelling and Analysis, 2023 A classical non-stationary three-body problem with two bodies of variable mass moving around the third body on quasi-periodic orbits is considered. In addition to the Newtonian gravitational attraction, the bodies are acted on by the reactive forces ...
Zhanar Imanova +2 more
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