Learned something new today. NASA had a few Grumman Gulfstream II biz jets modified to mimic the Space Shuttle during approach and final (though not landing). They were called Shuttle Training Aircraft (STAs) and was used both for pilot training and for testing the weather conditions at the landing site prior to shuttle landings.
One source stated that to reach the high glide path angle, the main landing gear was lowered and the reversers utilized.
Anyway, here is a few videos:
STS-133 STA
STS-132 STA
Pilot training, approaching White Sands Space Harbor
View from the ground prior to the STS-117 landing.
Bonus video - The Shuttle Landing Facility, including also some data on the STA:
Wikipedia article:
Shuttle Training Aircraft (
perm)