Here are some Zeiss factory photo´s of a Phototeodolite set.
They are marked Wa.PrW. A and B on the sockets, hinting that they are the property of the Waffen Prüfungswesen at the Heereswaffenamt.
The complete set:
https://skydrive.live.com/#cid=8170A8901E91D319&id=8170A8901E91D319!114&sc=d ocuments
The two from the back:
https://skydrive.live.com/#cid=8170A8901E91D319&id=8170A8901E91D319!115&sc=d ocuments
And from the front:
https://skydrive.live.com/#cid=8170A8901E91D319&id=8170A8901E91D319!116&sc=d ocuments
Closer up front of one:
https://skydrive.live.com/#cid=8170A8901E91D319&id=8170A8901E91D319!113&sc=d ocuments
Closer up at the back of one:
https://skydrive.live.com/#cid=8170A8901E91D319&id=8170A8901E91D319!112&sc=d ocuments
And a drawing of how they are used:
https://skydrive.live.com/#cid=8170A8901E91D319&id=8170A8901E91D319!143&sc=d ocuments
The set of instruments shown here, was only a step toward the Kinoteodolite. This set can ( probably ) only make one photo of each ascent, controlled by the light signal sent from the unit to the left in the drawing.
I would venture the guess that it was set up next to the cannon that fired the grenade that was going to be measured. Just like the ordinary Richtmittel. Then the corresponding positions of both instruments, and that of the cannon, would make triangulations possible once a set of photo´s had been taken. That would make photo´s of the grenade in flight possible. And calculations on muzzle velocity, and possibly, of stability in flight, too.
If these instruments still exist, they are most likely either in the UK, or USA.
For a scientific team, they must have been worthwhile to take into custody.
The lens is a tessar 1:5, f=50 cm ( the 50 is open for speculation, 5x cm at least) with serial number 744xxx, which dates it just before 1926. The lens can be older that the equipment in general.
Later, the Kinotheodolite came into use.
The kinoteodolite would be able to film, and record, the ascent of a ballistic object. Like a large artillery grenade, or a V2 rocket ( which technically is nothing but a very large self propelled grenade )
Then the trajectory would be measurable on a movie film, along with measurements of time, and 3 dimensional directions.