Actually the first time, Darth Vader uniquely find out almost the truth of his children that he not knew as much, was ten years after Order 66, when the Jedi failed when pose to defeat Palpatine

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It seems like you're referencing a crucial moment in the Star Wars saga, particularly in relation to Darth Vader and his children, Luke Skywalker and Leia Organa. In the official Star Wars timeline, the revelation of Vader's connection to his children unfolds differently across various mediums such as films, books, and animated series.

During the original trilogy, particularly in "The Empire Strikes Back," Vader learns of Luke Skywalker, and the connection is confirmed in "Return of the Jedi." However, before that, after Anakin Skywalker becomes Darth Vader, there are indeed moments in the expanded universe, including the animated series "Star Wars: The Clone Wars" and the comics, where the idea of his children is touched upon.

If you mean to suggest a time when Vader begins to grasp the deeper truths about his past and the potential existence of his children, it would align more closely with the revelations introduced in the sequel trilogy and various Star Wars media. The internal conflict and the journey of discovering his past play a significant role in his character development.

If you're interested in a specific storyline or particular moments that elaborate on this aspect, please feel free to specify!