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rotmat_c

Table of contents
 Procedure Abstract Required_Reading Keywords Brief_I/O Detailed_Input Detailed_Output Parameters Exceptions Files Particulars Examples Restrictions Literature_References Author_and_Institution Version Index_Entries

#### Procedure

```   rotmat_c ( Rotate a matrix )

void rotmat_c ( ConstSpiceDouble   m1[3][3],
SpiceDouble        angle,
SpiceInt           iaxis,
SpiceDouble        mout[3][3] )

```

#### Abstract

```   Apply a rotation of `angle' radians about axis `iaxis' to a matrix.
This rotation is thought of as rotating the coordinate system.
```

#### Required_Reading

```   None.
```

#### Keywords

```   MATRIX
ROTATION

```

#### Brief_I/O

```   VARIABLE  I/O  DESCRIPTION
--------  ---  --------------------------------------------------
m1        I     Matrix to be rotated.
angle     I     Angle of rotation (radians).
iaxis     I     Axis of rotation (X=1, Y=2, Z=3).
mout      O     Resulting rotated matrix.
```

#### Detailed_Input

```   m1          is a matrix to which a rotation is to be applied.
In matrix algebra, the components of the matrix are
relative to one particular coordinate system. Applying
rotmat_c changes the components of m1 so that they are
relative to a rotated coordinate system.

angle       is the angle in radians through which the original
coordinate system is to be rotated.

iaxis       is an index for the axis of the original coordinate system
about which the rotation by angle is to be performed.
iaxis = 1,2 or 3 designates the x-, y- or z-axis,
respectively.
```

#### Detailed_Output

```   mout        is the matrix resulting from the application of the
specified rotation to the input matrix m1. If

[angle]
iaxis

denotes the rotation matrix by angle radians about iaxis,
(see the Rotations Required Reading document) then mout is
given by the following matrix equation:

mout = [angle]      * m1
iaxis

mout can overwrite m1.
```

#### Parameters

```   None.
```

#### Exceptions

```   Error free.

1)  If the axis index is not in the range 1 to 3, it will be
treated the same as that integer 1, 2, or 3 that is congruent
to it mod 3.
```

#### Files

```   None.
```

#### Particulars

```   None.
```

#### Examples

```   Suppose that to rotate the a set of inertial axes to body fixed
axes, one must first roll the coordinate axes about the x-axis by
angle r to get x', y', z'. From this one must pitch about the
y' axis by angle o to get x'', y'', z''.  And finally yaw the
x'', y'', z'' about the z'' axis by angle y to obtain the
transformation to bodyfixed coordinates. If id is the identity
matrix, then the following code fragment generates the
transformation from inertial to body fixed.

rotmat_c ( id, r, 1, m1   );
rotmat_c ( m1, p, 2, m2   );
rotmat_c ( m2, y, 3, tibf );
```

#### Restrictions

```   None.
```

#### Literature_References

```   None.
```

#### Author_and_Institution

```   N.J. Bachman        (JPL)
J. Diaz del Rio     (ODC Space)
W.M. Owen           (JPL)
W.L. Taber          (JPL)
```

#### Version

```   -CSPICE Version 1.1.1, 13-AUG-2021 (JDR)

Edited the header to comply with NAIF standard.

-CSPICE Version 1.1.0, 22-OCT-1998 (NJB)

Made input matrix const.

-CSPICE Version 1.0.0, 08-FEB-1998 (NJB) (WMO) (WLT)

Based on SPICELIB Version 1.0.1, 10-MAR-1992 (WLT)
```

#### Index_Entries

```   rotate a matrix
```
`Fri Dec 31 18:41:11 2021`