Changeset 282 for canSAS2012/docs/source/basics.rst
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 Dec 29, 2012 12:52:14 AM (9 years ago)
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canSAS2012/docs/source/basics.rst
r270 r282 188 188 =========================== 189 189 190 The canSAS standard assumes a righthand rule coordinate system, 191 consistent with a variety of software packages and data formats. 192 See, for example: http://www.nexusformat.org/Coordinate_Systems 190 The canSAS standard assumes a righthand rule coordinate system, [#]_, [#]_, [#]_ 191 consistent with a variety of software packages and data formats. [#]_ 193 192 194 193 :z: 195 :math:`z` is along the trajectory of the radiation194 :math:`z` is along the trajectory of the incident radiation 196 195 (positive value in the direction towards the detector) 197 196 :x: … … 202 201 :math:`y` is orthogonal to :math:`z` and :math:`x` 203 202 in the vertical plane (positive values increase upwards) 204 205 206 203 204 .. [#] http://en.wikipedia.org/wiki/Coordinate_system#Cartesian_coordinate_system 205 .. [#] http://en.wikipedia.org/wiki/Polar_coordinate_system 206 .. [#] http://en.wikipedia.org/wiki/Spherical_coordinate_system 207 .. [#] http://www.nexusformat.org/Coordinate_Systems 208 209 .. _Coordinate Axes geometry: 210 211 .. figure:: graphics/translationorientationgeometry2.png 212 :alt: Coordinate Axes 213 :height: 400 px 214 215 definition of the coordinate axes for translations and rotations 207 216 208 217 .. index:: … … 215 224 216 225 Orientation 217 =========================== 218 219 Orientation (angles) describes singleaxis rotations (rotations about 220 multiple axes require more information): 221 222 **roll** 223 is a rotation about the :math:`z` axis 224 225 **pitch** 226 is a rotation about the :math:`x` axis 227 228 **yaw** 229 is a rotation about the :math:`y` axis 226  227 228 Orientation angles [#]_ in the canSAS standard describe singleaxis rotations. 229 Rotations about multiple axes require more information. 230 The rotations are described in terms of roll, pitch, and yaw [#]_ : 231 232 :**roll**: 233 a rotation about the :math:`z` axis, 234 where zero rotation is along the positive :math:`x` axis 235 236 :**pitch**: 237 a rotation about the :math:`x` axis, 238 where zero rotation is along the positive :math:`z` axis 239 240 :**yaw**: 241 a rotation about the :math:`y` axis, 242 where zero rotation is along the positive :math:`z` axis 243 244 .. [#] http://en.wikipedia.org/wiki/Orientation_%28geometry%29 245 .. [#] http://en.wikipedia.org/wiki/TaitBryan_angles#Aircraft_attitudes 246
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