It most likely wouldn't work that way. Yavin is 2.72 times more massive than Jupiter[1], which in turn makes it approximately 886.7 times more massive than Alderaan was, and the Death Star would have to be about 10,000 times more powerful than what was seen in the destruction of Alderaan.[2] Additionally, the Essential Guide to Vehicles and Vessels descibes the DS1 as requiring several hours to recharge after firing its Superlaser[3], which would have made it a sitting duck in front of the Rebel base during that period.

I Win.

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1: Saxton, Curtis C., Star Wars Technical Commentaries, Planets: http://theforce.net/swtc/orbs.html#yavin
2: Saxton, Curtis C., Star Wars Technical Commentaries, Death Stars: http://www.theforce.net/swtc/ds/index.html
3: Wong, Michael, StarDestroyer.Net, Imperial Power Generation: http://www.stardestroyer.net/Empire/Tech/Power/Power2.html