Why did Legolas set sail for the Grey Havens only after Aragorn's death?

[Inziladun]

Originally Posted by blantyr

I've always wondered, since Legolas did set sail after Aragorn's death, whether he should have offered Arwen a berth.

I'm sure both Legolas and Arwen knew that wouldn't have been allowed. Arwen had made her irrevocable choice to turn her back on immortality, and the West was no longer open to her.