As a fairy tale, Sleeping Beauty goes back past Charles Perrault and the Brothers Grimm, deep into the tangles of medieval European folklore. As a ballet, Sleeping Beauty goes back to 1890, to choreographer Marius Petipa, composer Pyotr Ilyich Tchaikovsky, and the Imperial theaters of St. Petersburg. To produce the American Ballet Theatre’s fourth and most recent restaging of this iconic story ballet, artist-in-residence Alexei Ratmansky delved into archives recording Petipa’s work, deciphering now-obsolete choreographic notation from the early 1900s. His result reproduces the style of the original era, with softer angles, complex footwork, and fuller costuming. Richard Hudson’s sets and costuming jump ahead to the Ballets Russes’ lavish 1921 London performance for inspiration, delivering exactly the sort of opulence one would expect from a $6 million production, running dancers through a wardrobe of some 400 costumes throughout the evening. Ratmansky’s re-staging makes its D.C. premiere at the Kennedy Center Opera House. Among the cast of 250 (including 100 local dancers) will be newly-elevated principal Misty Copeland, slated to dance as Princess Florine in two performances. American Ballet Theatre performs Jan. 27 to Jan. 31 at the Kennedy Center Opera House, 2700 F St. NW. $49–$299. (202) 467-4600. kennedy-center.org.