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Four lectures on the N-body problem
2008In the first two lectures, Hamiltonian techniques are applied to avatars of the N-body problem of interest to astronomers: the first one introduces one of the simplest non integrable equations, the planar circular restricted problem in the lunar case, where most degeneracies of the general (non-restricted) problem are not present; the second one is a ...
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The solution of the gravitational n-body problem
Nonlinear Analysis: Theory, Methods & Applications, 1997The paper presents a theory dealing with the fundamental constituents of matter, unifying gravitational interaction with other phenomena of nature, and relating very large and very small scales in cosmos. Combining the presence and omnipotent influence of dark matter and its interchanges with the visible matter, the author formulates a solution of the \
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2009
Entry for Encyclopedia of Complexity and Systems Science.Article Outline: Glossary; Definition of the Subject; Introduction: Simple Choreographies and Relative Equilibria; Symmetry Groups and Equivariant Orbits; The 3-Body Problem; Minimizing Properties of Simple Choreographies; Generalized Orbits and Singularities; Asymptotic Estimates at Collisions ...
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Entry for Encyclopedia of Complexity and Systems Science.Article Outline: Glossary; Definition of the Subject; Introduction: Simple Choreographies and Relative Equilibria; Symmetry Groups and Equivariant Orbits; The 3-Body Problem; Minimizing Properties of Simple Choreographies; Generalized Orbits and Singularities; Asymptotic Estimates at Collisions ...
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Collisions and Singularities in the n-body Problem
2002We present recent results on the existence of non-collision singularities and on the regularizability of multiple or simultaneous collisions in the solution of the n-body problem. The first problem is obviously only theoretical but its solution gave new impulse to recent studies on dynamical systems applied to space travels and planetary sciences.
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Analysis of the spatial quantized three-body problem
Results in Physics, 2020Elbaz I Abouelmagd, A A Alshaery
exaly
The effect of radiation pressure on the basins of convergence in the restricted four-body problem
Chaos, Solitons and Fractals, 2020Rajiv Aggarwal +2 more
exaly

