The Curious Droid YouTube video How did NASA get those great film shots of Apollo and the Shuttle? found here and linked-to in this comment contains the following passage starting at 05:26
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This piece of footage here of the shuttle Discovery at T+40 seconds is shot from a medium distance camera about 3.8 kilometers from the launch pad using a 150 inch lens with a 4,000 mm focal length as the shuttle is accelerating through 20,000 feet. As discovery goes through a 145,000 feet at 123 seconds into flight, the boosters separate, which is captured here by another 150 inch, 4,000 mm focal length lens on a KTM. The weight of the lens alone on these was about 115 kilograms, and the tracking to keep the discovery in the frame was done by a human, and not an automated system. After three minutes the job of filming the ascent was transferred to the largest telescope on the site, the permanently mounted 24-inch aperture Recording Optical Tracking Instrument, or ROTI. With a focal length of up to 12,700 mm, ROTI had enough magnification to follow the launch for up to five minutes after liftoff. ROTI used both radar assisted tracking and a joystick for manual adjustment, which had such a fine sensitivity but it could register the heartbeat of the user if held too firmly.
High quality, imaging, achromatic lenses are never 150 inches (~3800 mm) in diameter. The Yerkes Observatory's 40 inch (1,000 mm) refractor is the largest diameter refracting telescope ever built, and that was about f/18.
Even if it were a reflecting 3.8 meter diameter primary, f/1.05 would be an impressive looking instrument.
Question: What are this optical system's actual specs, such as diameter of primary lens or mirror, focal length, and number of reflecting and/or refracting elements? It sounds amazing!