Results 11 to 20 of about 161,781 (262)
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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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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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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Analysis of Resonance Transition Periodic Orbits in the Circular Restricted Three-Body Problem
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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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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ON THE RESTRICTED THREE-BODY PROBLEM
PHYSICO-MATHEMATICAL SERIES, 2021 The paper analytically investigates the classical restricted three-body problem in a special non-inertial central coordinate system, with the origin at center of forces. In this coordinate system, an analytical expression of the invariant of the centre of forces is given.
M. Zh. Minglibayev, T. M. Zhumabek
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Results in Physics, 2022 The main goal of this work is to elucidate the effect of the inclusion of a rigid triaxial prolate primary body on the dynamics of the circular restricted three-body problem.
H.I. Alrebdi +2 more
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ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES [PDF]
Proceedings of the National Academy of Sciences, 1966 Summary: \textit{F. R. Moulton} [Periodic orbits. Washington: Carnegie Institution (1920; JFM 47.0836.02)] found and described five periodic orbits around the equilateral Lagrangian points in the Copenhagen problem of three bodies. Soon after the publication of these orbits, the validity of Moulton's work was questioned by \textit{E. Strömgren} [JFM 48.
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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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