barycenter


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barycenter

(ba -ră-sen-ter) The center of mass of a system of bodies, e.g. the Earth–Moon system or Solar System. The barycenter of the Solar System is offset from the Sun's center due to the presence of the planets, especially Jupiter, and moves as the relative positions of the planets change. Barycentric coordinates are a more rigorous coordinate system than heliocentric coordinates, specifying positions with respect to the Solar-System barycenter rather than the Sun's center.

barycenter

[′bar·ə‚sen·tər]
(astronomy)
The center of gravity of the earth-moon system.
(mathematics)
The center of mass of a system of finitely many equal point masses distributed in euclidean space in such a way that their position vectors are linearly independent.
References in periodicals archive ?
Figure 1 shows how the adjacency matrices of the bipartite graphs are changed when applying the barycenter heuristic.
The most well studied application of the barycenter heuristic is the one of minimizing edge crossings in hierarchical drawings of graphs.
A favorable order of the cells, that is, the one minimizing the number of crossing terminals, can now be determined by using the barycenter heuristic.
Another main type of barycenter applications are those related to matrices which usually present the adjacency relations of graphs of some sort.
The use of the barycenter heuristic in the bandwidth minimization problem is discussed by May and Mennecke (1984).
4 Theoretical and Empirical Results Concerning the Barycenter Heuristic
To our knowledge, the barycenter refined mesh is the simplest type of mesh where LBB holds for 'reasonable' k.
In section 2, we study the linear elasticity problem in displacement formulation with barycenter meshes.
However, as discussed in the introduction, on a barycenter refined quasi-uniform mesh, we need only k [greater than or equal to] 2 in 2D and k [greater than or equal to] 3 in 3D.
2) with g = 0, the above discussion implies that for large [gamma], if k [greater than or equal to] d and a barycenter refined mesh is used, solutions of (2.
2], a barycenter refined mesh, a uniform mesh, and a mesh created from a Delaunay triangulation.
1 for the barycenter refined triangular mesh, and in Table 2.