Howell 320 was a planet in or near the space of the Federation, somewhere in the galaxy's Alpha or Beta Quadrant.
History and specifics
The Starfleet starship USS Repulse was travelling towards Howell 320 in 2367, carrying a pair of Federation ambassadors who hoped to end a civil war on the world. The Repulse was held away from that mission by the presence of a planet killer weapon entering the nearby Kalish system. (TNG novel: Vendetta)