Gene is, it was built for Gene at genes direction and he continually requested it back.
It aught to be as interesting to find out how it came to be where it is as it is to the inevitable detailed inspection/investigation of the model should be.
Ed:
According to Majel Barrett-Roddenberry, “That particular ship was a real model and it *was Gene’s *– he loaned it to someone and Gene forgot to get it back and it was never returned. It’s a shame because it’s a piece of stolen property and since it has historical value – it is quite priceless.”
The model was made by prop-maker Richard Datin Jr under the direction of Star Trek series creator Gene Roddenberry in the preproduction phase of the series before it even had a full series order. It preceded an 11-foot model that was used for most of the shots in the series. However, the 3-footer was used for the opening credits sequence and all but one of the shots of the Enterprise in the series’ pilot, because the 11-foot version was not ready in time for shooting. It was also used sporadically in other shots in later episodes, including one where it actually acted as a model of the Enterprise sitting on a table.