8. why does the declination of the sun change over the course of the year

by Pink Howe MD 8 min read

The declination angle, denoted by δ, varies seasonally due to the tilt of the Earth on its axis of rotation and the rotation of the Earth around the sun. If the Earth were not tilted on its axis of rotation, the declination would always be 0°. However, the Earth is tilted by 23.45° and the declination angle varies plus or minus this amount.

The declination angle, denoted by δ, varies seasonally due to the tilt of the Earth on its axis of rotation and the rotation of the Earth around the sun. If the Earth were not tilted on its axis of rotation, the declination would always be 0°.

Full Answer

What is the Sun’s declination during summer?

During the summer solstice, when maximum declination of 23.5 is reached, a specific region north of the Arctic Circle receives sunlight 24 hours a day while the Antarctica receives 24 hours of darkness. The change in the Sun’s declination results in yearly cycles which are observed as each season progresses.

How does the position of the Sun change throughout the year?

Throughout year, sun slowly changes its north/south position. 1. Summer Solstice (June 21st) : Sun 23.5° above (north of) celestial equator 2. Autumnal Equinox (Sept. 21st): Sun oncelestial equator 3.

What causes the declination of the Earth to vary?

Declination Angle The declination angle, denoted by δ, varies seasonally due to the tilt of the Earth on its axis of rotation and the rotation of the Earth around the sun. If the Earth were not tilted on its axis of rotation, the declination would always be 0°.

Why does the Sun move more slowly than the Earth?

But when the Earth moves more slowly (near aphelion), 24 hours is too long for the Sun to return to its same position, and so the Sun appears to shift more slowly than average.

Why does the angle of the sun change throughout the course of the year?

We have seasons because the sun angle varies over the course of the year, and it varies because the Earth's plane of rotation is tilted by about 23.5 degrees from the plane of its orbit around the sun.

How does the declination of the sun vary over the year?

The earth's equator is tilted 23.45 degrees with respect to the plane of the earth's orbit around the sun, so at various times during the year, as the earth orbits the sun, declination varies from 23.45 degrees north to 23.45 degrees south. This gives rise to the seasons.

What factors are responsible for the variance of the declination of the sun's rays during a year and show what is the result of this shift on Earth?

Solstices and shifting solar declinations are a result of Earth's 23.5° axial tilt as it orbits the sun. Throughout the year, this means that either the Northern or Southern Hemisphere is tilted toward the sun and receives the maximum intensity of the sun's rays.

How does declination vary with increasing latitude?

As one moves away from the true north the declination changes depending on the latitude as well as the longitude of the place. By convention, declination is positive when the magnetic north is east of true north, and negative when it is to the west. The decline is small in India.

How much does the declination of the sun vary over one year?

Since the Earth is tilted on its axis and rotates every year, the angle of declination changes throughout the year. Every year the solar declination goes from -23.44 degrees to +23.44 degrees in line with the Earth's seasons.

What is the declination of the sun on December 22?

23.5 degrees southOn December 22, the Sun reaches its most southerly extent (see the left-hand "Earth"), at a declination of 23.5 degrees south, at the Winter Solstice to begin northern-hemisphere winter (southern hemisphere summer).

What is Sun's declination angle during winter solstice?

The Sun declination angle is δ = – 23.5° on the winter solstice.

How do you find the declination of the sun?

The following equation can be used to calculate the declination angle: δ=−23.45°×cos(360/365×(d+10)) where the d is the number of days since the start of the year The declination angle equals zero at the equinoxes (March 22 and September 22), positive during the summer in northern hemisphere and negative during winter ...

When does the sun's declination change?

Then after a period of six months, winter will come in the north and summer will brighten up the south. The Sun’s declination varies throughout the year. Its declination becomes zero during the spring equinox and reaches the maximum declination angle of 23.5 degrees during the summer solstice. It reverts to zero declination when fall equinox comes ...

What is the declination of the Sun?

The declination of the Sun is the measurement of the angle between the Sun’s rays and the Earth’s equatorial plane. This principle is used to explain why we have different seasons, why there are four in some countries and there are only two in some. The Earth’s axis is tilted by 23.5 degrees away from the solar plane.

How does the Sun's declination affect the seasons?

The change in the Sun’s declination results in yearly cycles which are observed as each season progresses. The declination of the Sun has effects on its own altitude and to the duration of daylight. The Sun reaches its highest altitude above the horizon each day every noon in the northern hemisphere. With respect to the celestial equator, it ...

What is the highest altitude of the Sun?

With respect to the celestial equator, it reaches the highest altitude of 73.5 degrees and this occurs on the first day of the summer while its altitude reaches the minimum 26.5 during the first day of the winter. The Sun’s declination also affects the duration of the daylight. Again with respect to the celestial equator, ...

How many degrees is the Earth's axis away from the Sun?

The Earth’s axis is tilted by 23.5 degrees away from the solar plane. The northern hemisphere and the southern hemisphere have always contradicting seasons. When the northern hemisphere is tilted towards the Sun, summer season occurs while it becomes winter in the southern hemisphere. Then after a period of six months, ...

When does the declination of the sun go to zero?

It reverts to zero declination when fall equinox comes and drops to the negative 23.5 declination during the winter solstice. During the summer solstice, when maximum declination of 23.5 is reached, a specific region north of the Arctic Circle receives sunlight 24 hours a day while the Antarctica receives 24 hours of darkness.

Which hemisphere has the longest daylight?

The Sun’s declination also affects the duration of the daylight. Again with respect to the celestial equator, the northern hemisphere experiences the longest daylight during the summer solstice.

Why does the azimuth of the sunrise change over the course of the year?

Why does the azimuth of the sunrise position change over the course of the year? The reason is the tilt of Earth's axis of rotation with respect to the orbital plane. As you know, the axis of rotation is tilted by an angle of 23.5 degrees with respect to the plane in which all the planets go around the Sun. As a result, at some points in the orbit ...

Where does the Sun go in the cycle?

As the Earth goes around the Sun, the Sun appears to go in a cycle from equator to north of equator and then back to equator and then to south of equator and then back again to equator (which marks the cycle of the seasons on Earth).

Is the change in azimuth uniform?

No, the change in azimuth is not uniform. If the Earth's orbit were exactly circular, then the change in azimuth will be sinusoidal. It would change slowest during solstices (where the sunrise is most towards north or south) and fastest during equinoxes (where the sunrise is towards exact East).

Where is the Sun in the first case?

In the first case, the Sun is north of the equator, and in the second case the Sun is south of the equator. Now, if the Sun were to be directly above the equator (which corresponds to the equinoxes), then it will rise exactly at east. When the Sun is north of the equator, then it will rise at an azimuth north of exact east and when it is south ...

Is the Earth's orbit around the Sun elliptical?

However, Earth's orbit around the Sun is not an exact circle. It is slightly elliptical with the perihelion (where the Earth is closest to the Sun) occuring near winter solstice (Jan). Hence, the change in sunrise position will not be an exact sinusoid and will change slightly faster around winter solstice compared to summer solstice. ...

Why do the equinoxes and the directions of sunset occur?

The equinoxes and the directions of sunset show why. The equinoxes occur when the sun sets due west, and the days and nights are (virtually) of equal length everywhere on Earth. At the equator, however, the days and nights are always 12 hours ...

How many days does the sun have to be on the equator?

So, in its yearly journey along the ecliptic, there are only two days when the sun crosses the equator.

How old is the circle?

The circle’s age is unknown, but it could be as old as 11,000 years, and researchers – including former Monash academic Duane Hamacher – think it's likely that the circle includes deliberate markers of the direction of sunset at the solstices and equinoxes. We’ll never know just why, or even if, the builders of Wurdi Youang, Stonehenge, ...

What is the symmetry of the sunset direction?

Among many other things Ptolemy was interested in was the fact that the symmetry in the arc of sunset directions is reflected in the symmetry between the sun’s midday altitude at the summer and winter solstices. The sunset direction reaches its northerly and southerly extremes at the solstices, while the noon altitudes are also at their extremes ...

Where is the sun at the equinox?

At the equinoxes – when the direction of the sunset is halfway between the most northerly and southerly sunset points – the sun is at the point of intersection of the ecliptic and the celestial equator, as I mentioned. So the angle between these two intersecting planes must be half the difference between the summer and winter solstice solar ...

What direction does sunset go?

The sunset direction reaches its northerly and southerly extremes at the solstices, while the noon altitudes are also at their extremes (highest and lowest) at the solstices. The midpoints in both cases occur at the equinoxes.

Why did the Greeks want to keep track of the stars?

Like the Babylonians and others before them, the Greeks wanted to be able to keep track of the stars and planets, in order to study the ways of the deities who ruled them, and also to help with navigation. Ptolemy reasoned as follows.

What is the declination of the Sun?

The declination of the sun is the angle between the equator and a line drawn from the centre of the Earth to the centre of the sun. The seasonal variation of the declination angle is shown in the animation below. Despite the fact that the Earth revolves around the sun, it is simpler to think of the sun revolving around a stationary Earth.

What is the declination angle of the Earth?

Declination Angle. The declination angle, denoted by δ, varies seasonally due to the tilt of the Earth on its axis of rotation and the rotation of the Earth around the sun. If the Earth were not tilted on its axis of rotation, the declination would always be 0°. However, the Earth is tilted by 23.45° and the declination angle varies ...

How does the Earth's tilt affect the Sun's motion?

The first major contributor to the Sun's apparent motion is the fact that Earth orbits the Sun while tilted on its axis. The Earth's axial tilt of approximately 23.5° ensures that observers at different locations will see the Sun reach higher-or-lower positions above the horizon throughout the year. When your hemisphere is tilted towards the Sun, ...

How long does it take for the Sun to shift?

During an average day, when the Earth moves at its average speed around the Sun, 24 hours is just right. But when the Earth moves more slowly (near aphelion), 24 hours is too long for the Sun to return to its same position, and so the Sun appears to shift more slowly than average.

What would happen if we lived on an untilted planet that had an elliptical orbit?

If we lived on an untilted planet that had an elliptical orbit, the Sun’s path through the sky would simply be an ellipse: where the eccentricity would be the only contributor to how the Sun moves. This is what happens roughly on Jupiter and Venus, where the axial tilts are negligible.

How far away will the Sun pass from one solstice to the other?

between the two tropics (between 23.5° S and 23.5° N), the Sun will pass directly overhead on two days equidistant from one solstice. From any location, if you were to track the position of the Sun throughout the year — such as through a pinhole camera — this is what you’d see. using a pinhole camera.

Why does the Sun reach its highest point?

The reason for this is largely due to the second main contributor to the Sun's apparent motion throughout the year: Earth's orbit around the Sun is elliptical, not circular.

What is the shape of the Sun that you traced out?

The shape you traced out would look like a figure-8 with one loop larger than the other: a shape known as our analemma. The fact that the Earth orbits the Sun once per year explains the first part. But the motion of the Sun in its particular analemma shape is due to a combination of deep reasons. Let's find out why.

Why is the figure 8 pinched?

known as an analemma. The pinched, figure-8-like shape is due to the varying factors of the Earth's orbit in space. César Cantú / AstroColors. At any time of day, you could theoretically set up a camera to take a picture of the landscape that encompasses the apparent position of the Sun in the sky.