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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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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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The restricted problem of three bodies [PDF]
Rendiconti del Circolo Matematico di Palermo, 1915 n ...
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From the restricted to the full three–body problem [PDF]
Transactions of the American Mathematical Society, 2000 The three–body problem with all the classical integrals fixed and all the symmetries removed is called the reduced three–body problem. We use the methods of symplectic scaling and reduction to show that the reduced planar or spatial three–body problem with one small mass is to the first approximation the product of the restricted three–body problem and
Meyer, Kenneth R., Schmidt, Dieter S.
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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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Dynamics of the parabolic restricted three-body problem [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2015 Peer ...
Barrabés Vera, Esther +2 more
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Advances in Astronomy, 2020 We illustrate the chaotic nature of the circular restricted three-body problem from the perspective of the bifurcation diagram with respect to the mass ratio parameter.
Fabao Gao, Yongqing Wang
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Mathematics, 2021 In this paper, we develop a method to solve for periodic orbits, i.e., Lyapunov and Halo orbits, using a functional interpolation scheme called the Theory of Functional Connections (TFC).
Hunter Johnston +2 more
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Heliyon, 2023 The study investigates the collinear positions and stability in the elliptic restricted synchronous three-body problem under an oblate primary and a dipole secondary for Luhman 16 and HD188753 systems. Our study has established four collinear equilibrium
Jagadish Singh, Richard K. Tyokyaa
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