Song title is "believe in you" by Do As Infinity.
This video was ripped from the game.
Opening #2 can be found at: https://www.youtube.com/watch?v=yyU30N38Gq0
Disclaimer: I don't own anything. Tales of Asteria is the property of Bandai-Namco Games and this video was merely posted for viewing purposes, under the provision of Fair Use.