That is the cockpit of the Shuttle Training Aircraft, a modified Grumman Gulfstream II. Here is higher resolution picture:
The STA is a "highly modified Gulfstream-2 aircraft," Nickel said. The plane’s cockpit has been adapted to closely resemble a Shuttle's flight deck; the left-hand seat features the same hand controls that a Shuttle commander uses during a mission. Several passenger seats in the back of the aircraft have been replaced by a bank of Shuttle-simulating computers.
They could simulate the glide of the Space Shuttle by flying with the main gear lowered and reverse thrust in flight:
In order to match the descent rate and drag profile of the real Shuttle, at 37,000 feet (11,300 m), the main landing gear was lowered (the nose gear stayed retracted due to wind load constraints) and engine thrust was reversed. Flaps could be deflected upwards to decrease lift as well as downwards to increase lift.