USS Sol (NCC-1733)

USS Sol (NCC-1733) was a heavy cruiser — of the Achernar subclass — on active duty in Starfleet during at least the 23rd century. (,, vol. 1)

Sol was commanded by Captain Carol Thompson and deployed to the Starfleet Tenth Fleet beginning in the 2290s. 

Background
Sol is also a Starfleet International chapter, based in in the 1990s and 2000s. The chapter president is Carol Thompson.