Acceleration Magnitude (ACCM)
Returns the magnitude of the second time-derivative of the displacement vector to one coordinate system marker from another coordinate system marker.
Format
ACCM (To Marker, From 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 being subtracted off. If you don't specify this argument, it defaults to the global origin. |
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, ACCM 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.Example
The following function returns the magnitude of the translational acceleration of marker_T with respect to marker_F. All vector time-derivatives are taken in the reference frame of marker_R.
ACCM(marker_T, marker_F, marker_R)