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Analysis of Resonance Transition Periodic Orbits in the Circular Restricted Three-Body Problem [PDF]
Applied Sciences, 2022 Resonance transition periodic orbits exist in the chaotic regions where the 1:1 resonance overlaps with nearby interior or exterior resonances in the circular restricted three-body problem (CRTBP).
Shanshan Pan, Xiyun Hou
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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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Effects of Poynting–Robertson drag on the circular restricted Three-Body Problem with variable masses [PDF]
Journal of Taibah University for Science, 2018 This paper presents an investigation on the dynamical effect of Poynting–Robertson drag on the circular restricted three-body problem by considering all the masses are variable (primaries as well as infinitesimal body). After determining the equations of
Ziyad A. Alhussain
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Equilibrium dynamics of the restricted three-body problem with radiating prolate bodies
Results in Physics, 2022 Our work is aimed to investigate the equilibrium dynamics of the restricted three-body problem with equally massed prolate radiating bodies. The positions along with the linear stability of the coplanar points of equilibrium are determined by using ...
H.I. Alrebdi +2 more
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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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Study of the stability of the perturbed solutions of the restricted three body problem
Bibechana, 2015 In this paper we have been examined the stability of the perturbed solutions of the restricted three body problem. We have been restricted ourselves only to the first order variational equations.
MAA Khan, MR Hassan, RR Thapa
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New exact particular analytical solutions of the triangular restricted three-body problem
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 The triangular restricted three-body problem is studied in special non-inertial central reference frame with origin at forces centre of this problem. Masses are arbitrary values. We studied the solutions of dimensionless differential equations of motion
M.Zh. Minglibayev, Т.М. Zhumabek
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IEEE AccessThis paper explores a finite-time tracking control approach for spacecraft orbits in the three-body problem framework under conditions of partial state observability.
Qingbiao Zheng, Yuanwen Cai, Peng Wang
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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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