Results 31 to 40 of about 767,122 (251)
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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Analysis of Resonance Transition Periodic Orbits in the Circular Restricted Three-Body Problem
Applied Sciences, 2022 Resonance transition periodic orbits exist in the chaotic regions where the 1:1 resonance overlaps with nearby interior or exterior resonances in the circular restricted three-body problem (CRTBP).
Shanshan Pan, Xiyun Hou
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Three Body Problem and Formation of Binary System [PDF]
Journal of Astronomy and Space Sciences, 1985 The singularities of differential Newtonian equation of motion in three body problem cause the loss of accuracy and the considerable increase of the computer time.
Jae Woo Park +2 more
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Stability and bifurcation analyses for exterior resonant families in Earth-Moon system
Results in Physics, 2021 In this work, stability and bifurcation analyses for exterior resonant orbit families have been investigated for a test spacecraft around Earth-Moon system. The initial states are obtained for certain resonance ratio orbits in the two-body problem.
Xu Li +3 more
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On an Application of the Hill Approach to the General Case of the Three-body Problem
The Astronomical JournalIn this work, we use the energy and angular momentum integrals as a resource for applying Hill’s approach to the general three-body problem. As a result, we obtain theorems on the Lagrange stability and Hill stability in the general three-body problem ...
Stepan P. Sosnitskii
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