Results 1 to 10 of about 161,682 (163)
Results in Physics, 2021 The restricted three-body problem, with a rigid triaxial oblate primary body, is being under investigation. Using numerical methods we reveal how the triaxility parameters affect the coordinates and the linear stability of the libration points.
Tareq Saeed, Euaggelos E. Zotos
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On the libration collinear points in the restricted three – body problem
Open Physics, 2017 In the restricted problem of three bodies when the primaries are triaxial rigid bodies, the necessary and sufficient conditions to find the locations of the three libration collinear points are stated.
Alzahrani F. +3 more
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The behavior of a satellite trajectory near the equilibrium points of sun-earth system and its control [PDF]
Theoretical and Applied Mechanics, 2023 In this paper, the behavior of a satellite trajectory near the equilibrium points of the Sun-Earth system is studied. The equations describing the motion of the satellite in the circular restricted three body problem for the Sun-Earth system, are ...
Shalby Lina A., Ali Noha A.
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Periodic Orbits of Quantised Restricted Three-Body Problem
Universe, 2023 In this paper, perturbed third-body motion is considered under quantum corrections to analyse the existence of periodic orbits. These orbits are studied through two approaches to identify the first (second) periodic-orbit types.
Elbaz I. Abouelmagd +2 more
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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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