Results 21 to 30 of about 161,781 (262)
The restricted problem of three bodies [PDF]
Rendiconti del Circolo Matematico di Palermo, 1915 n ...
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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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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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Collision Orbits for Small Mass Ratio in the Restricted Three Body Problem [PDF]
Journal of Astronomy and Space Sciences, 1988 The existence of the j-type collision periodic orbit is examined on the condition of mass ratio 0.9878449 and Jacobian constant 2.9 ¡3.4. Using the Birckhoff's regularization method and the 5th order Runge-Kutta variable step-sized numerical integration
Jung-Hyun Jo +3 more
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The vanishing twist in the restricted three-body problem [PDF]
Physica D: Nonlinear Phenomena, 2014 This paper demonstrates the existence of twistless tori and the associated reconnection bifurcations and meandering curves in the planar circular restricted three-body problem. Near the Lagrangian equilibrium $\mathcal{L}_4$ a twistless torus is created near the tripling bifurcation of the short period family.
Holger R. Dullin, Joachim Worthington
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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