oralloy wrote:[
The military had simply been given orders to drop each bomb as it became available,
Here is the key "as it becam available" . Manufacturing fissionable material is complicated and slow, more so with the technology available in 1945
In 1945 the US had enough fissionable material for three bombs. One, plutonium, was tested in July 1945. That left enough material for two bombs, one uranium and one plutonium, It did not have an adequate bomb design, the plutonium bomb was so large the B29 could barely get off the ground. Both had to be armed manually while in the air, It was not known if the designs they had would work in combat. The head of Naval ordinance told Truman directly that he did not think they would.
Once those two bombs were dropped the US was out of bomb material and would not have sufficient material to make more until October 1945 at the earliest. In other words the US had no follow up for at least 3 months.
Taking a new weapon and using the only prototype available under questionable circumstance is very unusual. That is unless your under a dead line and want to see if the weapon will work and what the effect will be before your war ends. The dropping of those two bombs was a test, and there would be no more available to drop.