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.
Collins Dictionary of Astronomy © Market House Books Ltd, 2006

n-body problem

[′en ¦bad·ē ‚präb·ləm]
(mechanics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
It is well known that most of the astrodynamical problems could be classified as hyperbolic Hamiltonian systems, for example, circular restricted 3-body problem (CR3BP).
McInnes, "Periodic orbits high above the ecliptic plane in the solar sail 3-body problem," in AAS/AIAA Space Flight Mechanics Conference, 2007.
In 2005, Hampton [6] provides a new family of planar central configurations for the 5-body problem with an interesting property: the central configuration has a subset of three bodies forming a central configuration of the 3-body problem. The authors [7] find new classes of central configurations of the 5-body problem which are the ones studied by Hampton [6] having three bodies in the vertices of an equilateral triangle, but the other two, instead of being located symmetrically with respect to a perpendicular bisector, are on the perpendicular bisector.
Santoprete, Saari's homo-graphic conjecture of the 3-body problem, Trans.