Why did Ludwig van Beethoven move to Vienna to study with Joseph Haydn?

Ludwig van Beethoven moved to Vienna to study with Joseph Haydn after the two met in Bonn in 1790. During a stop in the city while traveling to London, Haydn was shown some of the young composer's scores and was sufficiently impressed to offer to take him on as a pupil upon his return.1

Beethoven accepted the offer and moved to Vienna in the autumn of 1792. This arrangement was supported by his patron, the elector of Cologne, and was viewed as a significant opportunity for the young musician to further his development. Count Ferdinand von Waldstein, a key supporter of Beethoven, famously encouraged the move, expressing the hope that through "unremitting labour" and Haydn's instruction, Beethoven would receive the "spirit of Mozart" from Haydn's hands.12