Step 1: Understanding the Concept:
Indian astronomical texts describe a "Sacred Geography" where the Devas (gods) reside at the North Pole (Sumeru) and the Asuras (demons) reside at the South Pole (Badavamukha). For an observer at the North Pole, the celestial horizon is the celestial equator. The Sun remains above the horizon for six months and below it for six months.
Step 2: Mapping Divine Time to Solar Motion:
For the Devas at the North Pole:
1. Sunrise (Divine Dawn): Occurs when the Sun crosses the celestial equator moving Northward at the Vernal Equinox (Sayana Mesha).
2. Midday (Divine Noon): Occurs when the Sun reaches its maximum Northern declination ($+23.5^\circ$). This is the Summer Solstice, marking the start of the Sayana Karka (Cancer) sign. At this moment, the Sun is at its highest altitude for someone at the North Pole.
3. Sunset (Divine Evening): Occurs when the Sun crosses back over the equator moving Southward at the Autumnal Equinox (Sayana Tula).
4. Midnight (Divine Night): Occurs at the Winter Solstice (Sayana Makara), when the Sun is at its maximum Southern declination.
Step 3: Reasoning:
Just as "noon" for humans occurs when the Sun is at the highest point in our local sky, "noon" for the Devas is when the Sun is at the highest point in the Northern Hemisphere's sky. This peak occurs exactly at the Summer Solstice.
Step 4: Final Answer:
Therefore, the 'Devanam Dinardham' (Midday of the Devas) is at the point of Sayana Karka (Summer Solstice).