The draconic chart is your birth chart turned until the Moon's North Node sits at the very start of Aries. Nothing is recalculated: every planet keeps its distance from every other, so the aspects are identical and the houses are untouched. Only the signs change, because the zodiac beneath the chart has been rotated to begin from the Node instead of from the equinox.
That makes it a reading rather than a calculation, and it is the reading that matters. The nodal axis is the chart's line of intention — where the Moon's path crosses the Sun's — so a zodiac measured from it describes the life as intended rather than the life as lived. Astrologers use it for what a person keeps reaching for underneath the biography.
The useful part is the comparison. Set the draconic chart beside the birth chart and look for degrees where the two touch: a draconic planet sitting on a natal one is a place where intention and circumstance land in the same spot, and those contacts are read as the strongest and least negotiable things in a chart. Wide gaps everywhere are just as informative.
Because the whole chart moves by one arc, a draconic planet is always the same number of degrees from its natal position, and that number is simply where the North Node stands. A chart with the Node early in Aries is nearly its own draconic chart; one with the Node in Libra reads as an almost complete inversion.
A known birth time is worth having but is not essential. The planets rotate whatever the time; the houses stay as the birth chart drew them, so with an uncertain time read the draconic signs and the contacts with the birth chart and leave the houses out of it.
Your birth chart with the zodiac measured from the Moon's North Node rather than from the spring equinox, so the Node begins 0° Aries. The aspects and houses are unchanged; only the signs move.
For the layer of intention behind a life, and above all for its contacts with the birth chart: a draconic planet on a natal planet marks something a person seems not to be able to put down.
No. Every point moves by the same amount, so the angles between them are exactly as in the birth chart. That is why a draconic chart is read against the natal one rather than on its own.
Not for the draconic positions of the planets. You need one for the houses and the angles, as in any chart.
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