For the Trill symbiont with a similar name, please see Odan.
The Odin was a 24th century Federation freighter.
In 2357, the Odin was disabled by a collision with an asteroid. The starship's four surviving crewmembers, led by Ramsey, drifted for five months in three of the ship's escape pods until they reached the nearest M-class planet, Angel I. The Odin was declared overdue for the next seven years.
In 2364, the starship was discovered, abandoned in space, by the USS Enterprise-D. (TNG: "Angel One")
Background information Edit
This starship was only mentioned in dialogue.
In an internal list of starships, from 26 September 1990, the Odin (spelled as Oden) was identified as an Apollo-class starship. 
According to the Star Trek Encyclopedia (4th ed., vol. 2, p. 100), the registry for the SS Odin was NGL-12535.
The ship was presumably named for Odin, the creator and supreme deity in Norse mythology, see also: Woden.