n-body problem


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n-body problem

Any problem in celestial mechanics that involves the determination of the trajectories of n point masses whose only interaction is gravitational attraction. The bodies in the Solar System are an example if it is assumed that the masses of the planets, etc., are concentrated at their centers of mass. A general solution exists for the two-body problem and in special cases a solution can be found for the three-body problem. The complete solution for a larger number is normally considered impossible.

n-body problem

[′en ¦bad·ē ‚präb·ləm]
(mechanics)
References in periodicals archive ?
Other topics include the stationary n-body problem in general relativity, asymptotic gluing of asymptotically hyperbolic vacuum initial data sets, the global geometry of spacetimes with toroidal or hyperbolic symmetry, and rates of decay for structural damped models with coefficients strictly increasing in time.
There is a new chapter on the Caledonian symmetric N-body problem.
Section 5 shows some experimental results with an N-Body problem application developed using the framework and tuned by MATE.
In this textbook he covers tensors, the foundations of differential geometry such as tangent vector space, tensor algebra and Lie derivative and algebra, symplectic geometry, modern mechanics, including the work of Lagrange and Hamilton and perturbation, and the N-body problem as an original methods for large N in terms of equations and integrals and statistical mechanics.
Newton's N-body problem studies how heavenly bodies move in settings where the dynamics are dictated by Newton's law of motion.