Results 21 to 30 of about 19,151,760 (225)
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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The restricted problem of three bodies [PDF]
Rendiconti del Circolo Matematico di Palermo, 1915 n ...
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Cylindrical Manifolds and Tube Dynamics in the Restricted Three-Body Problem [PDF]
, 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
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L3 Dynamics and Poincaré Maps in the Restricted Full Three Body Problem
Open Astronomy, 2012 Poincaré maps are a basic dynamical systems tool yielding information about the geometric structure of the phase space of the system. Poincaré maps are however time consuming to compute.
Pihajoki Pauli +3 more
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Contact geometry of the restricted three‐body problem [PDF]
Communications on Pure and Applied Mathematics, 2011 AbstractWe show that the planar circular restricted three‐body problem is of restricted contact type for all energies below the first critical value (action of the first Lagrange point) and for energies slightly above it. This opens up the possibility of using the technology of contact topology to understand this particular dynamical system.
Albers, Peter +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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