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STS-82 was the 22nd flight of the Space Shuttle Discovery and the 82nd mission of the Space Shuttle program. It was NASA's second mission to service the Hubble Space Telescope, during which Discovery's crew repaired and upgraded the telescope's scientific instruments, increasing its research capabilities. Discovery launched from Kennedy Space Center, Florida, on 11 February 1997, returning to Earth on 21 February 1997 at Kennedy Space Center.

STS-82 was the 22nd flight of the Space Shuttle Discovery and the 82nd mission of the Space Shuttle program. It was NASA's second mission to service the Hubble Space Telescope, during which Discovery's crew repaired and upgraded the telescope's scientific instruments, increasing its research capabilities. Discovery launched from Kennedy Space Center, Florida, on 11 February 1997, returning to Earth on 21 February 1997 at Kennedy Space Center.

STS-71 was the third mission of the US/Russian Shuttle-Mir Program, which carried out the first Space Shuttle docking to Mir, a Russian space station. The mission used Space Shuttle Atlantis, which lifted off from launch pad 39A on 27 June 1995 from Kennedy Space Center, Florida. The mission delivered a relief crew of two cosmonauts, Anatoly Solovyev and Nikolai Budarin, to the station, along with recovering American Increment astronaut Norman Thagard, and was the first in a series of seven straight missions to the station flown by Atlantis.
The five-day docking marked the creation of the largest spacecraft ever placed into orbit at that time in history, the first ever on-orbit changeout of Shuttle crew members, and the 100th manned space launch by the United States. During the docked operations, the crews of the shuttle & station carried out various on-orbit joint US/Russian life sciences investigations aboard Spacelab/Mir and a logistical resupply of the Mir, along with the Shuttle Amateur Radio Experiment-II (SAREX-II) experiment.

Similar to the Eagle Crest Emblem version, however the yellow rays of the sun are embroidered differently. 

STS-71 was the third mission of the US/Russian Shuttle-Mir Program, which carried out the first Space Shuttle docking to Mir, a Russian space station. The mission used Space Shuttle Atlantis, which lifted off from launch pad 39A on 27 June 1995 from Kennedy Space Center, Florida. The mission delivered a relief crew of two cosmonauts, Anatoly Solovyev and Nikolai Budarin, to the station, along with recovering American Increment astronaut Norman Thagard, and was the first in a series of seven straight missions to the station flown by Atlantis.
The five-day docking marked the creation of the largest spacecraft ever placed into orbit at that time in history, the first ever on-orbit changeout of Shuttle crew members, and the 100th manned space launch by the United States. During the docked operations, the crews of the shuttle & station carried out various on-orbit joint US/Russian life sciences investigations aboard Spacelab/Mir and a logistical resupply of the Mir, along with the Shuttle Amateur Radio Experiment-II (SAREX-II) experiment.

The Eagle Crest version has a dark circle around the sun and lighter blue rays.

STS-71 was the third mission of the US/Russian Shuttle-Mir Program, which carried out the first Space Shuttle docking to Mir, a Russian space station. The mission used Space Shuttle Atlantis, which lifted off from launch pad 39A on 27 June 1995 from Kennedy Space Center, Florida. The mission delivered a relief crew of two cosmonauts, Anatoly Solovyev and Nikolai Budarin, to the station, along with recovering American Increment astronaut Norman Thagard, and was the first in a series of seven straight missions to the station flown by Atlantis.
The five-day docking marked the creation of the largest spacecraft ever placed into orbit at that time in history, the first ever on-orbit changeout of Shuttle crew members, and the 100th manned space launch by the United States. During the docked operations, the crews of the shuttle & station carried out various on-orbit joint US/Russian life sciences investigations aboard Spacelab/Mir and a logistical resupply of the Mir, along with the Shuttle Amateur Radio Experiment-II (SAREX-II) experiment.

This is likely the A-B Emblem version. Thick black borders around the flags and less detail on Mir (and no read thread on Mir). 

STS-54 was a Space Transportation System (NASA Space Shuttle) mission using orbiter Endeavour. This was the third flight for Endeavour, and launched 13 January 1993.

The primary payload was the fifth Tracking and Data Relay Satellite (TDRS-F) which was deployed on day one of the mission. It was later successfully transferred to its proper orbit by the Inertial Upper Stage booster.
Also carried into orbit in the payload bay was a Hitchhiker experiment called the Diffuse X-ray Spectrometer (DXS). This instrument collected data on X-ray radiation from diffuse sources in deep space.

The Eagle Crest emblem version of the STS-54 patch can be identified by the white patch under the tip of the eagle's wing on the border. Also some versions have a red tinted plastic coated backing.

STS-54 was a Space Transportation System (NASA Space Shuttle) mission using orbiter Endeavour. This was the third flight for Endeavour, and launched 13 January 1993.

The primary payload was the fifth Tracking and Data Relay Satellite (TDRS-F) which was deployed on day one of the mission. It was later successfully transferred to its proper orbit by the Inertial Upper Stage booster.
Also carried into orbit in the payload bay was a Hitchhiker experiment called the Diffuse X-ray Spectrometer (DXS). This instrument collected data on X-ray radiation from diffuse sources in deep space.

STS-39 was the twelfth mission of the Space Shuttle Discovery. The primary purpose of the mission was to conduct a variety of payload experiments for the Department of Defense.

STS-39 was a dedicated Department of Defense mission. Unclassified payload included Air Force Program-675 (AFP675); Infrared Background Signature Survey (IBSS) with Critical Ionization Velocity (CIV), Chemical Release Observation (CRO) and Shuttle Pallet Satellite-II (SPAS-II) experiments; and Space Test Payload-1 (STP-1). Classified payload consisted of Multi-Purpose Release Canister (MPEC). Also on board was Radiation Monitoring Equipment III (RME III) and Cloud Logic to Optimize Use of Defense Systems-1A (CLOUDS-1A).

STS-39 was the first unclassified Department of Defense (DoD)-dedicated Space Shuttle mission. There had previously been seven Shuttle missions dedicated to the DoD, but those were considered classified and information about the operation or success of the payloads or experiments was not released. For STS-39, only the payload in the Multi-Purpose Experiment Canister (MPEC) was listed as classified.