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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Libration points in the restricted three-body problem: Euler angles, existence and stability
Discrete and Continuous Dynamical Systems. Series A, 2019 The objective of the present paper is to study in an analytical way the existence and the stability of the libration points, in the restricted three-body problem, when the primaries are triaxial rigid bodies in the case of the Euler angles of the ...
H. Selim +2 more
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Fractal basins of attraction in the planar circular restricted three-body problem with oblateness and radiation pressure [PDF]
, 2016 In this paper we use the planar circular restricted three-body problem where one of the primary bodies is an oblate spheroid or an emitter of radiation in order to determine the basins of attraction associated with the equilibrium points.
E. Zotos
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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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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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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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Beyond bridging rigor and relevance: The three-body problem in entrepreneurship
Journal of Business Venturing Insights, 2018 If we have two bodies that interact gravitationally, and we know their positions and velocities at a given point in time, it is possible to predict all their future positions. However, the introduction of a third body surprisingly leads to a problem that
Henrik Berglund +2 more
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