Anyway: The order to go east was given by Napoleon on August 22nd. Two months before Trafalgar.
edit: Wikipedia is not that bad after all: link
The newly born Grande Armee secretely marched towards Germany. On 20 October 1805 it surprised the Austrians at Ulm - Germany. The very next day, however, at the Battle of Trafalgar (21 October 1805), Britain gained lasting control of the seas.
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