THE TERRAN SERIES
Instrument V · The Terran Sphere · Document XIV

The Terran Kairos

The First Derivative of the Solar Signal

At the equinox, the rate of change of daylight peaks. At the solstice, it falls to zero — sol sistere, the sun stands still. The Terran Calendar anchors where the signal is strongest.

Instrument V — The Terran Sphere

The Terran Kairos

The rate at which daylight changes at your latitude — the first derivative of the solar signal. Maximum at both equinoxes. Zero at both solstices. The year’s turning, made visible.

Today’s Signal
—
minutes of daylight gained or lost per day
Day Length Today
—
hours of daylight at your latitude
Latitude
40°N
Adjust the slider to match your latitude
Times shown in solar time — solar noon is always 12:00
Solar Window · Solar Clock (UT)
SUNRISE
t:—:——:——
NOW
t:—:——:——
SUNSET
t:—:——:——
0% elapsed 100% light remaining
Position within today’s light · Open Solar Clock →
 
dL/dd = (24/π) × tan(φ) × sec²(δ)
         / √(1 − tan²(φ) × tan²(δ))
         × (2π × 0.40928 / 365)
         × sin(2π(d+10)/365)
← The Terran Sphere