system
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human
[Star Wars] In Episode 2, Anakin and Obi-Wan almost always seem at odds with each other. But by the time of The Clone Wars and Episode 3, they seem really close. How (and why) did their relationship change so quickly?

Not to say that the friction goes away completely; the faux-assassination of Obi-Wan really drove a wedge between them. 

But for the most part, Anakin and Obi-Wan seem really close by the time of TCW, which is canonically months(?) after AOTC. Is it Anakin becoming a Knight? The war itself that bonded the two? What made them go from tense father-son to brothers?
gpt
Anakin was dealing with a month of seeing his mother in agonizing pain and unable to sleep, which combined with his and Obi-Wan’s normal trouble communicating led to a far more unstable partnership. 

TCW takes place seven weeks after Geonosis, at which point Obi-Wan and Anakin are in the trenches of a high adrenaline constant war. They finally are able to fully get their teamwork in by the constant high-tension situations they need to work together in and are able to focus on the mission. Come ROTS, they’ve been a team for three years and are able to work together near perfectly as the brothers they are without problem. The near, of course, being Anakin’s extreme emotional instability that’s been steadily growing throughout the war, Obi-Wan’s denial of it, and the Sith Lord who’s been grooming the former for nearly a decade and a half now who’s ready to make his final gambit for apprenticeship.