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