Center of mass coordinates
- Center of mass coordinates
In kinematics, both classical or relativistic, the center of mass coordinate system is a coordinate system in which the center of mass of the system remains still (it has no velocity). It is especially useful for the kinematic study of an assembly of particles.
We shall note a variable in the center of mass system with a bar over it, so that, e.g., by definition.
In any coordinate system,
:
where the sum extends over the index of particles with mass and velocity . From the previous equation we see that in the center of mass system, the total linear momentum p is therefore zero:
:
where .
Wikimedia Foundation.
2010.
Look at other dictionaries:
Center of mass — In physics, the center of mass of a system of particles is a specific point at which, for many purposes, the system s mass behaves as if it were concentrated. The center of mass is a function only of the positions and masses of the particles that … Wikipedia
center-of-mass system — I. noun : a system of polar coordinates used in describing processes involving moving swarms of particles (as cosmic ray bursts) with the moving common center of mass as origin and the path of that center as polar axis II. noun : a frame of… … Useful english dictionary
Mass in special relativity — incorporates the general understandings from the concept of mass energy equivalence. Added to this concept is an additional complication resulting from the fact that mass is defined in two different ways in special relativity: one way defines… … Wikipedia
Mass point geometry — Mass point geometry, colloquially known as mass points, is a geometry problem solving technique which applies the physical principle of the center of mass to geometry problems involving triangles and intersecting cevians.[1] All problems that can … Wikipedia
Government Center (MBTA station) — GOVERNMENT CENTER GOVERNMENT CENTER Government Center headh … Wikipedia
Barycentric coordinates (mathematics) — In mathematics, barycentric coordinates are coordinates defined by the vertices of a simplex (a triangle, tetrahedron, etc). Barycentric coordinates are a form of homogeneous coordinates.Let x 1, ..., x n be the vertices of a simplex in a vector… … Wikipedia
Barycentric coordinates (astronomy) — In astronomy, barycentric coordinates are non rotating coordinates with origin at the center of mass of two or more bodies.Within classical mechanics, this definition simplifies calculations and introduces no known problems. In the General Theory … Wikipedia
College of Mass Communication & Media Arts — Coordinates: 37°42′55″N 89°13′32″W / 37.71528°N 89.22556°W / 37.71528; 89.22556 … Wikipedia
Northern Nevada Correctional Center — Coordinates: 39°06′31″N 119°44′39″W / 39.1087°N 119.7443°W / 39.1087; 119.7443 … Wikipedia
Negev Nuclear Research Center — Coordinates: 31°00′05″N 35°08′40″E / 31.0013°N 35.1445°E / 31.0013; 35.1445 … Wikipedia
