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human
[Star Wars] Did Tarkin need to get authorisation to blow up Alderaan?

In A New Hope, the Death Star travels to Alderaan in order to threaten Leia to betray the resistance. However, despite her (supposedly) caving to the threat, Alderaan was destroyed anyway on Tarkins orders. Now I understand the ability to destroy a planet is insignificant next to the power of the force and all that, but blowing up a planet located in the Core Worlds seems a bit above Tarkins pay grade.

There is almost no hesitation from Tarkin in giving the order which suggests he knew he was going to order the strike long before it actually happened.

Did he request authorisation from the Emperor to do this or did the Emperor simply entrust to such an extent that he knew Tarkin would do the right thing by him? Or did he simply not care because the end result was still people living in fear, which allowed him to govern.
gpt
> did the Emperor simply entrust to such an extent that he knew Tarkin would do the right thing by him? 

Essentially this. 

In essence, Tarkin was the third man in the Empire after Vader and Palpatine themselves, and Palpatine basically outsourced many details and minutia of his oppressive reign of terror to him. While it would be rather # empiredidnothingwrong to say that Tarkin was the source of the evil, but he was the guy who formulated Ruling by Fear thesis and presented  it to Palpatine, who enthusiastically signed off on it.