PHI

The PHI function calculates the third angle (in radians) of a body-fixed-3-1-3 Euler rotation sequence between markers i and j. Marker j defaults to the global coordinate system if it is not specified. See Figure 8 for a schematic description of the body-fixed-3-1-3 Euler rotation sequence.

Format

PHI(i[,j])

Arguments

 
i
The marker whose rotations are being sought.
j
The marker with respect to which the rotations are being measured.

Examples

REQUEST/1, F2=PHI(222,434)
This REQUEST statement outputs the phi angle between Markers 222 and 434 in its second column.
See other Displacement measures available.
Figure 8 Body-fixed-3-1-3 Euler Angles
 
The body-fixed-3-1-3 sequence is started by rotating counterclockwise the initial system of axes, xyz, by an angle about the z-axis. The resultant axes are labeled . (Notice that z coincides with .)
 
 
 
 
 
In the second stage the intermediate axes, , are rotated counterclockwise about the -axis by an angle . The new resultant planes are labelled . The - axis is at the intersection of the xy and planes and is known as the line of nodes. (Notice that coincides with .)
 
 
 
 
 
In the final rotation, the axes are rotated counterclockwise by an angle about the -axis to produce the x' y' z' axes, which is the desired final direction. (Notice that coincides with z'.)