Results 31 to 40 of about 20,514,878 (278)

The Three-Body Problem and the Anthropocene [PDF]

open access: yesContexto Internacional
The 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
doaj   +1 more source

Quasi-conservative Integration Method for Restricted Three-body Problem

open access: yesThe 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
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

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   +4 more sources

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

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

The restricted problem of three bodies [PDF]

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

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

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

Equilibrium dynamics of the restricted 3-body problem with prolate primaries

open access: yesResults 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
doaj   +1 more source

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