From The Lord of the Rings Appendix A: ‘The Tale of Aragorn and Arwen’ (abridged)
Elven scholars decided to romanticise the first meeting of these two famous lovers (as they did with everything). For poetic reasons they decided to also leave out the part where Aragorn ran to his room and cried to a week out of embarrasment for announcing his noble lineage to her in an attempt to recover from his pick-up line.
(Fun fact: this is how my parents met too)