xyz2R

The rotation matrix <code>R_AB</code> is created based on 3 angles <code>x</code>, <code>y</code> and <code>z</code>
about new axes (intrinsic) in the order x-y-z.
The angles (called Euler angles or Tait-Bryan angles) are defined by the following
procedure of successive rotations:<ol>
<li>Given two arbitrary coordinate frames <code>A</code> and <code>B</code>, consider a temporary frame
 <code>T</code> that initially coincides with <code>A</code>.
 In order to make <code>T</code> align with <code>B</code>, we first rotate <code>T</code>
 an angle <code>x</code> about its x-axis (common axis for both <code>A</code> and <code>T</code>).</li>
<li>Secondly, <code>T</code> is rotated an angle <code>y</code> about the NEW y-axis of <code>T</code>.</li>
<li>Finally, <code>T</code> is rotated an angle <code>z</code> about its NEWEST z-axis.
 The final orientation of <code>T</code> now coincides with the orientation of <code>B</code>.</li>
</ol>The signs of the angles are given by the directions of the axes and the right hand rule.

The n-vector framework uses the normal vector to
the Earth ellipsoid (called n-vector) as a non-singular position
representation that turns out to be very convenient for practical
position calculations. The n-vector is simple to use and gives exact
answers for all global positions, and all distances, for both
ellipsoidal and spherical Earth models. This package is a translation
of the 'Matlab' library from FFI, the Norwegian Defence Research
Establishment, as described in Gade (2010)
<doi:10.1017/S0373463309990415>.

Enrico Spinielli

nvctr

The n-vector Approach to Geographical Position Calculations
using an Ellipsoidal Model of Earth

EUROCONTROL 

xyz2R function

<dl><dt>x</dt>
<dd>Angle of rotation about new x axis (rad)</dd>
<dt>y</dt>
<dd>Angle of rotation about new y axis (rad)</dd>
<dt>z</dt>
<dd>Angle of rotation about new z axis (rad)</dd></dl>

Arguments

Create a rotation matrix from 3 angles about new axes in the xyz order. — xyz2R

<dl>

<dt>x</dt>
<dd>Angle of rotation about new x axis (rad)</dd>


<dt>y</dt>
<dd>Angle of rotation about new y axis (rad)</dd>


<dt>z</dt>
<dd>Angle of rotation about new z axis (rad)</dd>

</dl>

xyz2R: Create a rotation matrix from 3 angles about new axes in the xyz order.

Description

Usage

Value

Arguments

References

See Also

Examples