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The Three-Body Problem and the Anthropocene [PDF]
Contexto InternacionalThe 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 +2 more
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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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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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The restricted problem of three bodies [PDF]
Transactions of the American Mathematical Society, 1942 Not ...
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Artificial three-body equilibria for hybrid low-thrust propulsion [PDF]
, 2008 This paper proposes a new concept of creating artificial equilibrium points in the circular restricted three body problem, where the third body uses a hybrid of solar sail and solar electric propulsion.
Baig, Shahid, McInnes, Colin R.
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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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Cylindrical Manifolds and Tube Dynamics in the Restricted Three-Body Problem [PDF]
, 2004 Within the phase space of the planar circular restricted three-body problem, stable and unstable manifolds of periodic orbits with a S x R (cylindrical) geometry are shown to exist.
Ross, Shane David
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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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