system
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human
[Star Wars] How did the Rebels escape Yavin?

So the Empire finds out about the secret Rebel base on Yavin, and sends the Death Star to blow it the hell up. And apparently the Death Star just travels around with *zero* capital ship escorts, for some reason. OK, fine, the Empire is arrogant and tactically unwise.

But surely the moment the Death Star is blown up, the Empire will then send every available Star Destroyer to the Yavin system immediately to blow the absolute shit out of that Rebel base? And yet the Rebels seem to think they have time for a great big and kinda relaxed awards ceremony before they start thinking about packing up to leave. And yet they seem not just to escape, but to escape undetected. How?
gpt
Yavin isn't exactly a hop, skip, and a jump from Imperial space, much less the Imperial fleet.  Then there's the natural disarray that comes in the wake of the destruction of such a massive asset, as well as the loss of a leader like Tarkin.  You don't rush the rest of the fleet into a situation where your best weapon under the command of one of your best commanders just got its ass handed to it by a force it should have easily overwhelmed.  
Basically, they had some time to play with.