Zodiac and Houses
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The Tropical Zodiac: Ecliptic Geometry and the Vernal Point
The mathematical definition of the Tropical Zodiac, ecliptic coordinates, sign conversion algorithms, and precessional drift.
The Sidereal Zodiac and Ayanamsha
The mathematical definition of the Sidereal Zodiac, ayanamsha models, polynomial coefficients, and sidereal transformation routines.
Ascendant, Midheaven, and Chart Angles
Mathematical derivation of the Ascendant, Midheaven, IC, Descendant, Vertex, and East Point from sidereal time and observer latitude.
House Systems: Mathematical Foundations and Cusp Calculation
Mathematical classification of house systems and cusp calculation algorithms for Placidus, Koch, Campanus, Regiomontanus, and others.
Aspects: Geometry, Orbs, and Exact Timing
Mathematical definition of astrological aspects, orb calculation, applying vs separating, and interpolation for exact aspect timing.