The invention is an apparatus and process for obtaining values for one or more alignment quantities using one or more transportable devices. The process consists of establishing and maintaining a transportable device in a reference position and a reference orientation, then establishing and maintaining the transportable device in a fixed position and orientation with respect to a target object, then determining the transportable object's position and orientation with respect to the target object from measurements of acceleration and angular velocity of the transportable device as it moves from the reference position and orientation to the fixed position and orientation with respect to the target object, determining the position and orientation of the target object from the position and orientation of the transportable device, repeating the preceding steps as required to obtain position and orientation data for other target objects, and finally determining the values of the alignment quantities.