Calculation of the angle of solar elevation beyond the Tropic of Capricorn?

1.The height of the sun refers to the angle between the direction of incidence of sunlight and the ground level, and the angle between a place at noon should be 90 degrees, that is, the height of the sun is 90 degrees (not necessarily 90 degrees; Outside the Tropic of Cancer, there is no direct sunlight, so it cannot be 90 degrees).

2.But the solar altitude angle = 90 - latitude difference, there is no direct sunlight outside the Tropic of Cancer, according to the formula latitude difference can not be 0 degrees, then the solar height can not be 90 degrees, and 1Contradiction (noon solar altitude angle = 90 - latitude difference, there is no direct sun outside the Tropic of Cancer, according to the formula latitude difference can not be 0 degrees (latitude difference is the latitude difference between a certain place and the direct sun point), then the noon sun height can not be 90 degrees, and 1 does not contradict it).

You can use a formula: noon sun altitude angle = 90 the latitude difference between a certain place and the direct sun point, this formula can be specifically: noon sun altitude angle = 90 degrees latitude of a certain place or + the latitude of the direct sun point

When a place is in the same hemisphere as the direct point of the sun (i.e., the same north latitude or the same south latitude), use " " when the direct point of a place and the sun are in a different hemisphere (i.e., one is north latitude and the other is south latitude).

For example, in Beijing (40 degrees north latitude), the noon solar altitude angle at the summer solstice (the sun shines directly at 23 degrees 26 minutes north latitude) = 90 degrees 40 degrees 23 degrees 26 minutes 90 degrees 16 degrees 34 minutes 73 degrees 26 minutes.

Another example is Beijing (40 degrees north latitude) at the winter solstice (the sun shines directly on 23 degrees 26 minutes south latitude) at noon solar altitude angle = 90 degrees 40 degrees + 23 degrees 26 minutes 90 degrees 63 degrees 26 minutes 26 degrees 34 minutes.

The first one told you that the altitude angle of the sun at noon must be 90 degrees. The noon solar altitude angle is nothing more than the largest solar altitude angle of the day, and only the noon solar altitude angle of the direct point can be 90 degrees, and the other latitudes decrease to the poles with the direct point.

There is an additional provision in the definition of the solar altitude angle: 0°h represents the solar altitude angle.

Moreover, the sun moves between the Tropic of Capricorn, and there is no direct solar radiation at the poles, so the altitude of the Sun in the area outside the Tropic of Cancer cannot be 90°.

Twice a year.

In the Tropic of Capricorn.

between the regions, there is direct sunlight twice a year.

For the Northern Hemisphere.

One is between the spring and summer solstices and the other is between the summer solstice and the autumnal equinox.

The attack on Pei is not in the southern hemisphere, once between the winter solstice and the spring equinox, and the other is between the autumn and the winter solstice.

The point of direct sunlight moves.

Between the Tropic of Cancer there are 2 direct suns a year. Tai Min Tsai sails directly from the sun, according to the four seasons of the earth, due to the rotation of the sun, there will be different hail signs and influences on the earth. So we usually say that direct sunlight is the main reason for the change of seasons.

On the day of the vernal equinox, the sun shines directly on the earth's equator, which is the vernal equinox in the northern hemisphere and the autumnal equinox in the southern hemisphere.

The direct sun begins to move northward at the equator in the Northern Hemisphere in March, at the Tropic of Cancer in the Northern Hemisphere in June, at the beginning of the equator south of the equapole in September, and at the Tropic of Capricorn in December.

Between the Tropic of Cancer there are 2 direct suns a year.

Direct sunlight is based on the four seasons of the earth, and different phenomena and influences will occur on the earth due to the movement of the sun's rotation. So we usually say that direct sunlight is the main reason for the change of seasons.

On the day of the vernal equinox, the sun shines directly on the earth's equator, which is the vernal equinox in the northern hemisphere and the autumnal equinox in the southern hemisphere. The direct solar point begins to move northward at the equator in the northern hemisphere in March, at the Tropic of Cancer in the Northern Hemisphere in June, at the south of the equator in September, and at the Tropic of Capricorn in December.

We are located in the northern hemisphere, according to us as an example, in a year, the equatorial region is once at the spring equinox, the Tropic of Cancer is directly exposed to the sun once at the summer solstice, the equatorial region is once at the autumn equinox, and the Tropic of Cancer is once at the winter solstice, which shows that in a year, within the Tropic of Capricorn, there are at most 2 direct sun-dried pants.

The area between the Tropic of Cancer and the Tropic of Capricorn has direct sunlight twice a year.

1 time in the first year of geography.

To prove that the sun is directly shining on the Tropic of Capricorn, the following methods can be used:

Select a point on the globe and measure the latitude of that point.

The latitude where the point is located is compared with the latitude of the Tropic of Cancer to determine whether the point is on the Tropic of Cancer.

If the latitude of this point is equal to the latitude of the Tropic of Cancer, it is said that the sun is shining directly on the Tropic of Capricorn.

For example, suppose a location at 30 degrees north latitude measures its latitude at 30 degrees north latitude and the latitude of the Tropic of Cancer is degrees. This indicates that the point is on the Tropic of Cancer, because when the Sun hits the Tropic of Cancer directly, the angle between the Sun's rays and the Earth's geocentric line should be 90 degrees.

First of all, a mantra is needed: the difference in solar altitude is equal to the difference in latitude.

The sun shines directly on the Tropic of Capricorn, indicating that the Sun is at 90 degrees south latitude at 23 degrees 26 minutes. The altitude of the sun in a certain place is 70 degrees, and the difference in the altitude of the sun is 20, which means that the difference in latitude is 20, so the latitude of a certain place is 3 degrees 26 minutes south latitude or 43 degrees 26 minutes.

The steps to figure out this kind of problem are actually very simple, 6, method 1, formula: the difference in solar altitude is equal to the difference in latitude.

The sun shines directly on the Tropic of Capricorn, indicating that the Sun is at 90 degrees south latitude at 23 degrees 26 minutes. The altitude of the sun in Zhenranxiao is 70 degrees, and the difference in solar altitude is 20, indicating that the latitude difference is 20, so the latitude of a certain place is 3 degrees 26 minutes south latitude or 43 degrees 26 minutes.

Method 2: The solar altitude angle of the place h=90 - (the latitude A of the place is separated from the latitude b of the direct point of the sun).

Note: The interval between latitude a and the point of direct sunlight b is distributed on the same side of the northern and southern hemispheres, subtracting the opposite side. ）

Equation Transformation. 0,

The noon solar altitude angle 90°- The latitude distance between the local latitude and the direct point of the sun, so when the sun is directly shining on the Tropic of Capricorn, the noon solar altitude angle on the Tropic of Cancer is h 90°- 23°26' +23°26' |The two places use "+" when they are in the hemisphere).

h＝90°- 46°52'

h＝43°08

According to the annual change of the direct point of the sun, on March 21, the direct point of the sun was directly on the equator, and then in the following days, the direct point of the sun moved northward, and on June 22, the direct point of the sun fell on the Tropic of Capricorn, that is, 23 degrees 26 minutes north latitude, and then the direct point moved southward, and returned to the equator on September 23, after that, until December 22, the direct point of the sun still moved southward, and on December 22, it was directly on the Tropic of Capricorn.

From December 22 to March 21 of the following year, the point of direct fire continued to move northward and then shot directly at the Red Collapse Road again. On the 24th of the solar term, March 21 is the spring equinox, June 22 is the summer solstice, September 23 is the autumn equinox, December 22 is the winter solstice, due to the influence of the lunar calendar, the date is uncertain, but to know what day the sun shines directly on the Tropic of Cancer, we generally choose June 22, on this day on the Tropic of Cancer, people on the Tropic of Cancer can observe that at 12 o'clock at noon their shadow and their body are almost completely correct, as if there is no shadow, reaching the maximum value of the year.

The sun shines directly on the Tropic of Capricorn, at this time the height of the Tropic of Cancer is 90 degrees, and the Tropic of Cancer is located at 23 degrees 26 minutes south latitude, so 90 degrees minus 23 degrees 26 minutes is left with 2 equals 43 degrees 8 minutes.

1.When the Sun shines directly on the equator: vernal equinox, autumnal equinox – this is when the global equinox of day and night is 2

When the Sun shines directly on the Tropic of Capricorn: Summer Solstice - The Northern Hemisphere has the longest day and the shortest night, and the Sun is high at noon in the Northern Hemisphere, and the Sun is 3When the sun shines directly on the Tropic of Capricorn:

Winter solstice - the longest night and shortest day in the Northern Hemisphere, when the sun shines directly in the Northern Hemisphere, the Northern Hemisphere has long daylight hours, the Southern Hemisphere has short daylight hours, the Northern Hemisphere enters summer, the Southern Hemisphere enters winter, the Northern Hemisphere has a hot climate, and the Southern Hemisphere has a cold climate.

Calculation of the angle of solar elevation.

The angle of solar altitude at a certain time in a certain place ( ) = 90° - (local latitude - latitude of the direct sun point). For example, the solar height on the summer solstice in Ningbo (30°N) is:

90°-(30°；The solar altitude on the winter solstice in Beijing (40°N) is: 90°-[40°-(23°)]=; The height of the Sun on the day of the equatorial equinox is: 90°-(0°-0°)=90°; The height of the Sun on the equatorial winter solstice is:

90°-[0°-(When the solar altitude ( ) is 90°, then the solar altitude should be 180°- that is, the local solar altitude, so the solar altitude on the equatorial winter solstice is: 180°.

Method: The altitude angle of the sun at noon = 90 degrees - (local latitude + or - latitude of the direct sun point) where: when "+" is used, the local area and the direct sun point are located in the same hemisphere.

When used with "—", it means that the local and direct sun points are located in different hemispheres.

For example, on the day of the vernal equinox, what is the noon solar altitude angle at the Tropic of Capricorn?

90 degrees - (local latitude + or - latitude of the point where the sun shines) = 90 degrees - (north latitude - 0 degrees) = degrees.

It doesn't make sense to tell the result, the method is the most important. Do you know the direct latitude of the equinox? You know the latitude of those lines, right?

Then use the following sentence to calculate: how much is the difference between the latitude of a certain place and the latitude of the direct point of the sun, and how much is the difference between the altitude angle of the sun and 90 degrees. Such as:

The sun shines directly on the Tropic of Capricorn, and the altitude angle on the Tropic of Cancer: 90-(

Between the Tropic of Capricorn, there are two maximums and one minimum for the height of the Sun at noon (two minimums on the equator – one on the winter and one on the summer solstice).

Between the Tropic of Cancer there are two direct solar rays a year, so there are two maximums of the sun at noon, up to 90 degrees; The noon solar height is the lowest on the winter solstice in the northern hemisphere between the Tropic of Capricorn, and the lowest at noon on the summer solstice in the southern hemisphere. On the equator, the height of the sun at noon on the winter and summer solstices is the same and the smallest.