Mars is a roman god, and doesn't have a one for one correlation to Ares, the greek war god. Mars is associated with plains, fields, and agriculture.
The month of "March" used to be, in the old roman system, (at least I think I am recalling this correctly) associated with either planting or
harvesting or the season in which that is done.
True, Mars was a Roman God, but was in fact their God of War/Soldiering. You will find that Ceres was the goddess of farming, fields and such like.
The ancients didnt name their planets "after " Gods, they where one and the same. Ie; Mars/Aries (God of War) WAS Mars the planet.