A quarter is an exact interval
Each equal nakshatra has four padas, so one pada is 3°20′. The atlas numbers the 108 quarters from the start of Ashwini and assigns padas 1–4 within each mansion. It treats an exact constructed endpoint as the start of the new quarter: 3°20′ is Ashwini pada 2, not a trailing part of pada 1.
This makes the result inspectable. First normalize the selected sidereal longitude to 0°–360°. Then locate its 3°20′ quarter, derive the mansion by groups of four, and derive the displayed pada from the quarter within that group. This is classification arithmetic before any traditional interpretation.
Worked boundary example
Use an invented longitude of 6°39′59″ in the selected sidereal zodiac. It is Ashwini pada 2: the first two quarters cover 0°–3°20′ and 3°20′–6°40′. At exactly 6°40′, the answer becomes Ashwini pada 3. Only one arcsecond separates the examples, so displayed rounding, birth-time uncertainty, or a changed ayanamsha can matter near a boundary.
A browsed quarter is still not an asserted natal Moon quarter. The atlas may show its D9 mapping and mansion metadata without a birth calculation. The quarter inspector labels an actual Moon result only after it computes the Moon with the person’s inputs and retains the reference selection in its download.
P. V. R. Narasimha Rao, Vedic Astrology, An Integrated Approach · §6.2.9 Navamsa Chart (D-9) ↗
Read D1, D9, and timing as separate fields
A pada’s 3°20′ width equals a ninth of a 30° sign, which is why the atlas can display a D9 sign for each quarter. That mapped D9 sign is neither the D1 sign nor a Vimshottari period lord. D1 comes from the full longitude’s 30° sign; D9 follows the ninth-part mapping; Vimshottari starts its common computation from the Moon’s mansion and remaining fraction.
Keep all three labels in an export, along with the selected reference. Ayanamsha choices can move a longitude across a sign, mansion, or pada boundary, particularly close to one. The selected reference is therefore an input to reproduce, not a hidden correction or proof that one interpretation is required.
P. V. R. Narasimha Rao, Vedic Astrology, An Integrated Approach · §6.2.9 Navamsa Chart (D-9) ↗P. V. R. Narasimha Rao, Vedic Astrology, An Integrated Approach · §16.2 Dasa Computation ↗
Word origin · etymology
Sanskrit transliteration: pāda.
Pāda means foot and, by extension, a quarter or section; the lunar-mansion usage is the quarter sense.
Monier-Williams Sanskrit-English Dictionary: pāda (University of Hyderabad) ↗
How we know · epistemology
Nested angular division
A pada follows mechanically from a position within its nakshatra. Close to a quarter boundary, small changes in time or sidereal reference can alter the assignment; the resulting character descriptions are a separate tradition.
P. V. R. Narasimha Rao: Vedic Astrology, An Integrated Approach ↗
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