A Step-By-Step Method
From Zodiac Degrees To A Confirmed Yod.
The Yod Astrology Calculator works with ecliptic longitudes, measured around the 360° zodiac. Each sign occupies 30°, and a body's longitude is the starting degree of its sign plus its position within that sign.
- Collect positions. Obtain the zodiac sign and precise degree of each body from the same chart.
- Select the calculation mode. Use the three-body checker for a specific trio or the chart scanner for several positions.
- Enter the coordinates. Use decimal degrees and consistent tropical or sidereal positions.
- Choose aspect orbs. Set the maximum permitted deviation for the 60° and 150° aspects.
- Calculate the separations. The tool finds the shorter angular distance between each pair.
- Identify the apex. A qualifying Yod has one sextile base and two quincunxes converging on the third body.
- Review the deviations. Smaller deviations indicate aspects closer to their exact geometric values.
The Angular Distance Formula
First, calculate the absolute difference between two longitudes. Because the zodiac is circular, the angular separation is the smaller of that difference and its complement to 360°.
Angular Separation
Δ = |L₁ − L₂|
D = min(Δ, 360° − Δ)
Quincunx deviation = |D − 150°|
Sextile deviation = |D − 60°|
For a complete Yod, the sextile deviation must be within its selected tolerance, and both quincunx deviations must independently fall within theirs. The tool does not average the deviations to make an otherwise invalid aspect qualify.
This distinction matters because one exact quincunx cannot compensate for another that exceeds the chosen orb. All three required relationships must pass their individual checks.
Worked Example
An Exact Three-Body Yod.
Consider the Sun at 10° Aries, Jupiter at 10° Gemini, and Saturn at 10° Scorpio. Their absolute zodiac longitudes are 10°, 70°, and 220° respectively.
The Sun–Jupiter distance is 60°. The Sun–Saturn distance is 150°, and the Jupiter–Saturn distance is also 150°. This produces an exact geometric Yod with Saturn at the apex and the Sun and Jupiter at the base.
All three deviations equal zero, so the configuration qualifies under every positive orb setting available in the calculator.
Near-Match Example
Why A Small Difference Matters.
Now move Saturn from 10° Scorpio to 13° Scorpio. Its longitude becomes 223°. The two quincunx distances become 147° and 153°, with deviations of 3° each.
This version qualifies at a 3° quincunx orb but fails at 2°. It illustrates why an approximate pattern can appear in one astrology program but not another, even when both use the same planetary positions.
Important Distinction
Birth Data Is Not The Same As Longitude.
A birth date, time, and location must first be processed through astronomical position calculations to determine the planetary longitudes. This tool accepts those resulting positions rather than calculating an ephemeris.
For background on planetary coordinates, consult NASA JPL Horizons. Its astronomical calculations are distinct from the symbolic interpretation of astrological aspects.