Acceleration Along Z (ACCZ)
Returns a z component of the difference between the acceleration vectors of two coordinate system markers.
Format
ACCZ (To Marker, From Marker, Along Marker, Reference Frame)
Arguments
To Marker | (Required) The coordinate system marker whose acceleration is being measured. |
From Marker | (Optional) The coordinate system marker whose acceleration is subtracted off. If you don't specify this argument, it defaults to the global origin. |
Along Marker | (Optional) The coordinate system marker along whose z-axis the acceleration is measured. If you don't specify this argument, it defaults to the global z-axis. |
Reference Frame | (Optional) The coordinate system marker in which time-derivatives are calculated. If you don't specify this argument, it defaults to the ground reference frame. |
Equation
Mathematically, ACCZ is calculated as follows:
where:
■
is the position vector from the global origin to the To Marker, T.
is the position vector from the global origin to the To Marker, T. ■
is the second time-derivative of 
with respect to the Reference Frame, R.
is the second time-derivative of with respect to the Reference Frame, R. ■
is the position vector from the global origin to the From Marker, F.
is the position vector from the global origin to the From Marker, F. ■
is the second time-derivative of 
with respect to the Reference Frame, R.
is the second time-derivative of with respect to the Reference Frame, R. ■
is the unit vector along the z-axis of the Along Marker, A.
is the unit vector along the z-axis of the Along Marker, A. Example
The following function returns the z component of the acceleration vector of marker_T with respect to marker_F. The vector is expressed in the coordinate system of marker_A. All time-derivatives are taken in the ground reference frame, since the Reference Frame, R, is not specified.
ACCZ(marker_T, marker_F, marker_A)