Results 21 to 30 of about 766,122 (253)
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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BURRAU'S PROBLEM OF THREE BODIES [PDF]
Proceedings of the National Academy of Sciences, 1967 initially. The problem treated in this paper is to determine their subsequent motion. Because of the relation of the initial conditions to a Pythagoreani triangle, Burrau's problem may also be referred to as a Pythagorean problem of three bodies. That the motion of the particles takes place in the plane of the triangle is an immediate consequence of ...
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Secular perturbations of the translational-rotational motion in a nonstationary three-body problem
Вестник КазНУ. Серия математика, механика, информатика, 2022 A non-stationary three-body problem with axisymmetric dynamic structure, shape, and variable compression is considered. The Newtonian interaction force is characterized by an approximate expression of the force function accurate to the second harmonic ...
M. Zh. Minglibayev, A. K. Kushekbai
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The restricted problem of three bodies [PDF]
Transactions of the American Mathematical Society, 1942 Not ...
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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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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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On the Quadratization of the Integrals for the Many-Body Problem
Mathematics, 2021 A new approach to the construction of difference schemes of any order for the many-body problem that preserves all its algebraic integrals is proposed herein.
Yu Ying +4 more
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Equilibrium dynamics of the restricted 3-body problem with prolate primaries
Results in Physics, 2023 In this paper, the equilibrium dynamics of the circular restricted (2+1)-body problem with two elongated main bodies is investigated. More precisely, the influence of the mass parameter and the non-sphericity parameter on the position and stability of ...
H.I. Alrebdi +2 more
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On the Stability of Realistic Three-Body Problems
Communications in Mathematical Physics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CELLETTI, ALESSANDRA, Chierchia, L.
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Universe, 2020 Against the background of a restricted three-body problem consisting of a supergiant eclipsing binary system, the two primaries are composed of a pair of bright oblate stars whose mass changes with time. The zero-velocity surface and curve of the problem
Fabao Gao, Yongqing Wang
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