Results 11 to 20 of about 162,417 (306)
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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Stability and bifurcation analyses for exterior resonant families in Earth-Moon system
Results in Physics, 2021 In this work, stability and bifurcation analyses for exterior resonant orbit families have been investigated for a test spacecraft around Earth-Moon system. The initial states are obtained for certain resonance ratio orbits in the two-body problem.
Xu Li +3 more
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Restricted Three Body Problems at the Nanoscale [PDF]
Few-Body Systems, 2009 In this paper, we investigate some of the classical restricted three body problems at the nanoscale, such as the circular planar restricted problem for three C60 fullerenes, and a carbon atom and two C60 fullerenes. We model the van der Waals forces between the fullerenes by the Lennard-Jones potential.
Chan, Yue +2 more
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Global regularization method for planar restricted three-body problem [PDF]
Serbian Astronomical Journal, 2015 In this paper, global regularization method for planar restricted three-body problem is purposed by using the transformation z = x+iy = ν cos n(u+iv), where i = √−1, 0 < ν ≤ 1 and n is a positive integer. The method is developed analytically and
Sharaf M.A., Dwidar H.R.
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Quasi-conservative Integration Method for Restricted Three-body Problem
The 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
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Periodic Solution of the restricted three body problem
Bibechana, 2013 The effect of perturbation in centrifugal force on the periodic solution of the restricted three-body problem representing analytic continuation of Keplerian rectilinear periodic motion has been examined.
MR Hassan, RR Thapa
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Fidelity and reversibility in the restricted three body problem [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2016 We use the Reversibility Error Method and the Fidelity to analyze the global effects of a small perturbation in a non-integrable system. Both methods have already been proposed and used in the literature but the aim of this paper is to compare them in a physically significant example adding some considerations on the equivalence, observed in this case,
Federico Panichi +2 more
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Heliyon, 2022 The present study investigates the positions and stability of C70 fullerenes. Numerically, the positions and stability have been computed C70 fullerene at the nanoscale to show the effects of the parameters involved with the help of software MATHEMATICA.
Jagadish Singh, Richard Kanshio Tyokyaa
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The restricted problem of three bodies [PDF]
Transactions of the American Mathematical Society, 1942 Not ...
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Artificial Triangular Points by Lorentz Force in the Restricted Three-Body Problem
Advances in Astronomy, 2022 The restricted three body problem was outlined. The acceleration due to planetary magnetic field, in terms of space craft’s orbital elements, was analysed. The conditions for calculating the liberation points including the mutual gravitational attraction
A. Mostafa +2 more
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