# 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 ?
The coordinate C = [[x y z].sup.T] indicates the barycenter of the rigid system in [o.sub.1] - [x.sub.1] [y.sub.1] [z.sub.1].
However, the improved SE-MLFMA groups the basis functions according to the barycenter of triangles/tetrahedrons containing the basis functions, which makes that the memory requirement of RPs is proportional to the total number of triangles and tetrahedrons Nt.
The sensitivity analysis results of the barycenter overload of the airframe are shown in Figure 13.
From (8), (9), (10), (11), (12), (13), and (14), we can know that the parameters of the sensor required to be designed include the friction coefficient (g), the mass of the mass block (m), the distance from the barycenter of the mass block to the long edge ([R.sub.0]), the original length of the spring ([R.sub.1]), the elastic coefficient of the spring (k), and the distance from the axis of the sensor to the spring ([R.sub.2]).
[I.sup.p.sub.m] is the barycenter position vector, constituted by position vector of pixel [I.sub.m].
In the locally weighted ensemble strategy, we ensemble the classification outcomes of the SSSOMs whose assignments to a BMU are given with respect to the different features characterizing the SSSOM (e.g., the Mean Quantization Error (MQE) based SSSOM, the barycenter based SSSOM, the minimum neuron based SSSOM, the maximum neuron based SSSOM, and the stand-alone SSSOM).
The oral health quality index was determined by the linear regression model with the hierarchical barycenter coefficients, assuming that the adequate regression residues were equal to zero .
With the euro crisis, the decision-making barycenter has moved toward the relation between the European Council (and the Euro Summit) and the ECOFIN Council (and the Euro Group of the economic and financial ministers of the euro-area member states), rather than toward the relation between the Commission and the EP (as it was during the years of building the single market, between 1985-1994).
In Jovian problem, the bodies are ordered from Sun to Neptune and three dimensional Cartesian coordinate system having origin at the barycenter of the bodies is used.
For k = 1,2, let [V.sub.k] [subset] [[tau].sub.k] be the triangle obtained by connecting the two endpoints of e to the centroid (barycenter) of [[tau].sub.k].
El metodo de Barycenter o media central consiste en identificar la media geografica o baricentro de un conjunto de entidades espaciales, que eventualmente pueden ser ponderadas (Zaninetti 2005).
where [I.sub.sp] is the Y axel moment of inertia, kg[m.sup.2]; [[theta].sub.s] is the pitching angle at the center of gravity; a is the distance from front axle to the barycenter, mm; b is the distance from the barycenter to rear axle, mm; c is the distance from the front edge to the barycenter of battery, mm; d is the distance from the barycenter of battery to the rear edge, mm; x is the abscissa of the battery position, mm.

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