# radius vector

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## radius vector

n.
1. Mathematics
a. A line segment that joins the origin and a variable point in a system of polar or spherical coordinates.
b. The length of such a line segment.
2. Astronomy A straight line connecting the center of mass of a satellite, such as a planet, moon, or comet, to the center of mass of the body it orbits, such as the sun or Earth. Also called position vector.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## radius vector

n
1. (Mathematics) maths a line joining a point in space to the origin of polar or spherical coordinates
2. (Astronomy) astronomy an imaginary line joining a satellite to the planet or star around which it is orbiting
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## ra′dius vec′tor

n.

pl. radii vec•to•res (vɛkˈtɔr iz, -ˈtoʊr-)
radius vectors.
1. Math. the length of the line segment joining a fixed point or origin to a given point.
2. Astron.
a. the straight line joining two bodies in relative orbital motion, as the line from the sun to a planet at any point in its orbit.
b. the distance between two such bodies at any point in the orbit.
[1745–55]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 radius vector - a line connecting a satellite to the center of the body around which it is rotatingvector - a variable quantity that can be resolved into components 2 radius vector - a line connecting a point in space to the origin of a polar coordinate systemvector - a variable quantity that can be resolved into components
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
References in periodicals archive ?
The radius vector of the point N on the surface of the oscillating scatterer-pendulum hemisphere in the [O.sub.3][X.sub.3][Y.sub.3][Z.sub.3] coordinate system:
The speed vector is determined by the given angular speed of the rotor [[omega].sub.R] and the radius vector of the current rotor point v = [[omega].sub.R]r.
One of the ground concepts used in statistical analysis of random structures and also applied in this work is based on perturbation approach [4, 16, 22, 23] and presumes that local stress and strain fields as well as local stiffness tensor depend on position of the radius vector and can be decomposed into an averaged value and random addition:
It should be noted that we consider the special case when the spatial orientation of the coordinate axes of the laboratory coordinate system "L" and "L'" is the same, as well as the radius vector of the start of the laboratory coordinate system "L'" in the laboratory coordinate system "L" coincides with the radius vector of the moderating medium nucleus, at which the neutron scattering in the laboratory coordinate system "L" (that is the moderating medium nucleus in the laboratory frame "L'") is at rest.
Here r is the distance of the ghost galaxy to the Milky Way (the Milky Way being located at the focus of the orbit), p is the distance of closest approach (impact parameter), e is the eccentricity of the orbit, [theta] is the angle of radius vector with respect to the x axis, and [v.sub.r], [v.sub.[theta]] are the parallel and perpendicular components of the velocity with respect to the radial position vector.
where YL and YU are lower bound vector and upper bound vector; [Y.su.M] and YR are midpoint vector and radius vector, respectively.
The problems of data harmonization for index convolution purpose were solved by using the logistic normalization and Euclidean norm for the radius vector (3):
Vector r = r[??] appearing in (13) is the radius vector describing the lens surface defined by Gielis' superformula as follows [17, 18]:
The figure illustrates a sharp crack and we have positioned a coordinate system at the crack tip showing the radius vector r giving the direction and distance from the crack tip to any point in the material.
R is the length of [??], the radius vector from the instantaneous position of the charge to the point of observation; [??] is the angle between [??][DELTA]t, the direction of motion of charge q, and [??].
In general, the virtual displacement of the moving platform of Hauff manipulator equals to the total differential of the radius vector respect to the generalized coordinates:
Notice that we also use the module of the radius vector because good parallax data are available.

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