Do you think the sun rises from the exact east and sets in the exact west every day? You might have noticed the shift in the Sun’s position on the horizon on a daily basis.

At least you might have observed that the Sun rises (or sets) from one point on the horizon during winter and from a different point during summer. For example, my room (which faces the north direction and I live in the northern hemisphere) receives no direct Sunlight during winter while it receives direct light from the setting Sun during summer.

This observation led me to do some research on this shift of the Sun’s path in the sky and I found some interesting facts.

## Why is there a shift in the Sun’s position on the horizon?

The thing that defines the trajectory of the Sun in the sky is the motion of Earth. So, this shift in the Sun’s position on the horizon or simply the change of the path of the Sun in the sky depends upon the position of Earth relative to the Sun and the motion of Earth.

For a better understanding of it, we need a vivid insight into the relative motion of the Earth and the Sun. Finally, we need to know about the relative orientation of the Sun and the Earth.

## The Earth – its position and motion

The Earth does not actually move in a circular path and its orbit is elliptical, with the Sun lying slightly away from the center. So, during some time of the year, it is closest to the Sun whereas it lies farthest some other time.

The plane of the Sun’s path in the sky (called the ecliptic), which is coplanar with Earth’s plane of revolution around the Sun is tilted with respect to the equatorial plane of Earth. This angle of tilt is about 23.5 degrees. This is the main reason for the shift in the sun’s position on the horizon.

## The cause

The tilt along with the revolution results in the variation in the view of the Sun and also the change in the season. But the most important fact is that the Earth’s axis always points towards the same point (ignoring the chandler wobble for a short period of time). Due to this, the leftward tilt of the upper pole as in the figure is always leftward.

The tilt causes the rays of the Sun to fall on the surface making an angle of 23.5 degrees with the vertical during the solstice whereas vertically during equinoxes. The angle at which the light rays fall is responsible for the view of it.

As the Earth moves from one solstice to the other, the trajectory has a declination of 47 degrees. This is due to the 23.5 degrees northward shift during one solstice from the equinox and the 23.5 degrees southward shift during the other.

This signifies that for a person in the northern hemisphere, the Sun rises from slightly north of the east while sets slightly north of the west during summer. However, the trajectory is tilted southward. This is the opposite for those living in the southern hemisphere.

Likewise during winter, for the northern hemisphere, the Sun rises slightly southward of east and sets slightly southward of west and opposite for the southern hemisphere.

So, here we conclude the shift in the Sun’s position on the horizon is due to the tilt of the Earth’s axis and its unidirectional orientation (though the orientation shifts by 0.7 arcseconds every 14 months and is considered negligible). It would not otherwise.

Ashwin Khadka is a PhD Scholar in Nano Energy and Thermofluid Lab in Korea University, Republic of Korea under Korean Government Scholarship Program. He has a Masters Degree in Physics from Tribhuvan University, Kathmandu, Nepal. He is a science enthusiast, researcher and writer.