A Practical Calculation Method
Convert Positions, Measure Angles, And Test All Three Connections.
Start with the planetary positions from a consistent natal, transit, or other astrological chart. Each zodiac sign occupies 30° of the ecliptic. To obtain absolute longitude, multiply the sign's zero-based index by 30 and add the degree within that sign.
For example, Aries 10° becomes 10°, Cancer 10° becomes 100°, and Libra 10° becomes 190°. These values are then compared pairwise. The absolute differences are 90°, 90°, and 180°, giving the exact structure required for a T-square.
Because zodiac longitude is circular, an ordinary absolute difference is not always the correct angular separation. Two planets at 355° and 5° are only 10° apart around the shortest arc, even though subtraction produces 350°.
The angular separation formula is:
Separation = min(|A − B|, 360° − |A − B|)
After finding the shortest separation, calculate the orb for a square as the absolute difference between the separation and 90°. For an opposition, calculate the absolute difference between the separation and 180°.
A configuration qualifies when one pair falls within the opposition allowance and the remaining planet forms a square to each member of that pair. The calculator tests every possible choice of apex instead of assuming that the third entry must be the apex.
For a practical example, enter Aries 10°, Cancer 13°, and Libra 11°. The three separations are 93°, 88°, and 179°. Their corresponding deviations from the required aspects are 3°, 2°, and 1°. This is a qualifying configuration when the square allowance is at least 3° and the opposition allowance is at least 1°.
The T-Square Astrology Calculator reports the measured angles so you can distinguish a tight configuration from one that qualifies only under wider tolerances.