It is Spitzer not Splitzer. It is an infrared observatory orbiting the sun.

It is not an observatory, it simply is an instrument (= a telescope) flying in space, orbiting Earth once in 97 minutes. It is operated from the ground and the "observatory facilities" are on the ground.

First Orbiting Solar Observatory launched by U.S.

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Neither. The space station is an orbiting laboratory with living spaces. A shuttle takes astronauts to the space station and back to earth. The Hubble is an un-manned orbiting observatory.