Infinitesimal rotation matrix
id:
infinitesimal-rotation-matrix-186-11187800
title:
Infinitesimal rotation matrix
text:
An infinitesimal rotation matrix or differential rotation matrix is a matrix representing an infinitely small rotation. While a rotation matrix is an orthogonal matrix R T = R − 1 representing an element of S O, the differential of a rotation is a skew-symmetric matrix A T = − A in the tangent space s o, which is not itself a rotation matrix. An infinitesimal rotation matrix has the form
- I + d θ A, where I is the identity matrix, d θ is vanishingly small, and A ∈ s o. For example, if A = L x
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Infinitesimal_rotation_matrix
date created:
2004-02-21T14:09:24Z
date modified:
2024-09-08T15:36:04Z
main entity:
{"identifier":"Q118905735","url":"https://www.wikidata.org/entity/Q118905735"}
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13
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