Draconic Charts are based on an alternative calculation of your original natal/birth chart. The location of your North Node in your natal chart is relocated to what is known as the "Aries Point" which is essentially the cusp of Pisces and Aries (Ari 0' 00").
So with the relocating of your North Node placement to the Aries cusp the 12 signs of the Zodiac also change position in motion with the North Node. Take note though that none of the planets in your original natal chart change position or angular aspects in relation to each other (i.e. conjunctions, oppositions, squares, etc.) Once again, only the 12 signs change positions not the planets.
The image below shows an example of a:
"Natal Chart" (left) and a "Draconic Chart" (right)
So what is the significance of a Draconic chart? Well, your North Node placement in the signs and houses tells about what qualities you are lacking and where your soul longs to gain more experience to broaden your prospective on life. The Draconic chart is a more complete evaluation of the North Node placement. The chart on the whole could be considered your souls purpose. I like to think of it as our superhero like alter ego.