Results 211 to 220 of about 21,173,420 (246)

The global solution of the N-body problem

CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY, 1991
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On the global solution of the N-body problem

Celestial Mechanics & Dynamical Astronomy, 1993
In connection with the publication of \textit{Wang Qiu-Dong} [Celestial Mech. Dyn. Astron. 50, No. 1, 73-88 (1991; Zbl 0726.70006)] the Poincaré type methods of obtaining the maximal solution of differential equations are discussed. In particular, it is shown that the Wang Qiu- Dong's global solution of the \(N\)-body problem has been obtained in the ...
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Evolving trajectories of the N-body problem

2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence), 2008
The N-body problem in k dimensions is the task of determining the time evolution of a system of kN second order ordinary differential equations according to Newtonpsilas inverse square law. It comes up in astrophysics as an approximation to celestial systems.
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Four lectures on the N-body problem

2008
In 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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n-Body Problem

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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The solution of the gravitational n-body problem

Nonlinear Analysis: Theory, Methods & Applications, 1997
The 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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The n-Body Problem

2021
James M. Longuski, Felix R. Hoots, George E. Pollock IV   +2 more
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Collisions and Singularities in the n-body Problem

2002
We 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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N-Body Problem

2023
David B. Spencer, Davide Conte
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Church’s thesis meets the N-body problem

Applied Mathematics and Computation, 2006
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