Learning / Orbits and seasons

Earth is closest to the Sun in January. So why is January cold up north?

The distance changes sunlight by about 7%. Tilt changes it by far more. Guess first, then bend the orbit and the tilt until you can see which one runs the seasons.

1 · Your guess

In which month is Earth closest to the Sun?

147.1 million kmclosest (perihelion), around 3 January
152.1 million kmfarthest (aphelion), around 4 July
-more sunlight per m² at the closest point than at the farthest (computed: distance squared)

Distances from the Wikipedia Earth infobox (secondary source, official NASA and IAU pages returned errors or were not opened). If distance drove the seasons, the whole planet would be warm in January. Instead the southern half has summer and the northern half has winter. Something else is going on.

2 · The orbit, one day at a time

-Earth-Sun distance on this date
-latitude where the Sun is overhead at noon (declination)

3 · Sunlight over a whole year

Pick a latitude and watch the daily average sunlight at the top of the atmosphere. Dashed lines isolate each cause.

This Earth   Distance only (tilt set to 0)   Tilt only (circular orbit)

Index: 100 is the daily-mean sunlight on the equator at an equinox at mean distance. Top of atmosphere, no clouds or oceans.

4 · North against south

Same latitude, mirrored hemisphere, real Earth. The south has its summer when Earth is near perihelion, the north when it is near aphelion.

Sources and method