Results 21 to 30 of about 1,324,757 (302)

Secular perturbations of the translational-rotational motion in a nonstationary three-body problem

open access: yesВестник 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
doaj   +1 more source

The restricted problem of three bodies [PDF]

open access: yesTransactions of the American Mathematical Society, 1942
Not ...
openaire   +1 more source

Stability Analysis and Optimization of Semi-Explicit Predictor–Corrector Methods

open access: yesMathematics, 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
doaj   +1 more source

BURRAU'S PROBLEM OF THREE BODIES [PDF]

open access: yesProceedings 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 ...
openaire   +3 more sources

Modelling the evolution of the two-planetary three-body system of variable masses

open access: yesMathematical 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
doaj   +1 more source

Artificial three-body equilibria for hybrid low-thrust propulsion [PDF]

open access: yes, 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.
core   +1 more source

On the Quadratization of the Integrals for the Many-Body Problem

open access: yesMathematics, 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
doaj   +1 more source

A Numerical Contribution to the Hierarchical Three-Body Problem [PDF]

open access: yes, 2022
The aim of this thesis is to provide a numerical investigation of the motions of the planar hierarchical three body problem, that we will regard as a perturbation of the planar two centre problem.
Legnaro, Edoardo
core  

On the Stability of Realistic Three-Body Problems

open access: yesCommunications in Mathematical Physics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CELLETTI, ALESSANDRA, Chierchia, L.
openaire   +4 more sources

Approximate Analytical Periodic Solutions to the Restricted Three-Body Problem with Perturbation, Oblateness, Radiation and Varying Mass

open access: yesUniverse, 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
doaj   +1 more source

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