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 ?
The N-body problem represents an initial value problem, comprising the system of differential equations (mentioned in section 2) and initial conditions.
Levi-Civita, The n-Body Problem in General Relativity, D.
Burgess, The n-Body Problem, ChiZine Publications, Toronto 2013.
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.