Results 21 to 30 of about 19,332,899 (233)

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

On the stability of displaced two-body lunar orbits [PDF]

open access: yes, 2010
In a prior study, a methodology was developed for computing approximate large displaced orbits in the Earth-Moon circular restricted three-body problem (CRTBP)by the Moon-Sail two-body problem.
Simo, Jules, McInnes, Colin R.
core   +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

The restricted problem of three bodies [PDF]

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

Cylindrical Manifolds and Tube Dynamics in the Restricted Three-Body Problem [PDF]

open access: yes, 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
core   +1 more source

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

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

Low thrust propulsion in a coplanar circular restricted four body problem [PDF]

open access: yes, 2012
This paper formulates a circular restricted four body problem (CRFBP), where the three primaries are set in the stable Lagrangian equilateral triangle configuration and the fourth body is massless.
Biggs, James   +2 more
core   +3 more sources

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