How to calculate distances with latitude and longitude.

Same as Cartesian coordinate system.

1. Use latitude and longitude.

Roughly calculate the distance of the green branches.

The Earth's equator orbits the Earth in one circle of kilometers.

And a circle is divided into 360°

And every 1 ° (degree) there are 60'

The length of each degree and one second at the equator is calculated as follows:

And every minute has 60 seconds.

Every second counts.

The formula for calculating the distance between any two points is.

d Where: point a longitude and latitude a and a respectively

The longitude and latitude of point b are b and b, respectively, and d is the distance.

The distance of one minute of latitude in all places on the earth is approximately equal to a kilometer, that is, a degree of latitude is equal to a kilometer.

The actual length of a minute on the line of longitude at different latitudes is different, National Highway 219.

It is basically between 29 and 38 degrees east longitude, and the meridian at 29 degrees is about a kilometer long, and the meridian at 38 degrees is about a kilometer long.

tg = rod length shadow length.

In any place on the earth, as long as there is a watch, a bamboo pole, and a tape measure, you can know the local latitude and longitude. However, the table must be proofread against the country's standard time.

The method is as follows: 1. Calculate the two minutes first.

For example, in a certain place in China, the shortest time of the rod shadow is 13:20 at noon, and the ratio of the rod length to the shadow length is 1, then it can be seen that the place is 45° north latitude (tg 1), and the ratio of the rod length to the shadow length of 100° east longitude (from 120° to 1 hour minus 15°, 4 minutes minus 1°) needs to be found in the table, and a special angle is used here.

2. The algorithm for calculating the longitude of the two solstices does not change the latitude in the northern hemisphere winter solstice, and the summer solstice can be added or subtracted on any day.

3. Correction value algorithm: that is, the difference in the number of days from two minutes or two solstices is multiplied by 94 365For example, on February 17, 2013, the difference between the vernal equinox on February 17, 2013 and March 22, 2013 is 33 days, that is, the direct point of the sun is in the southern latitude.

So the latitude obtained at noon today is (arctg

In any place on the earth, as long as there is a watch, a bamboo pole, and a tape measure, you can know the local latitude and longitude. However, the table must be proofread against the country's standard time.

1.The longitude and latitude of two points on the earth are known: (x1, y1), x2, y2), where x1, x2 are longitudes, and y1, y2 are latitudes.

Depending on the calculation program needs to be converted to radians ( .

The radius of the Earth is r= km.

then the distance between the two points d=r*arcos.

2.On the same meridian on the earth, the latitude difference is one degree, and the actual distance is 111 kilometers; In the equatorial longitude difference of one degree, the actual distance is 111 kilometers, in other parallels, for each degree difference in longitude, the actual distance is 111 * longitude cos longitude, for example, at 30 degrees north latitude, the longitude difference is 5 degrees, the actual distance is: 111 * 5 * cos30 degrees.

Here's how to calculate the distance between latitude and longitude:

Calculate the distance d between latitude and longitude on the earth, and the longitude and latitude of two points on the earth are known: (x1,y1), x2,y2), where x1,x2 is longitude and y1,y2 is latitude;

Depending on the calculation program, it needs to be converted into radians (*The radius of the earth is r= km, then the distance between the two points d=r*arcos[cos(y1)*cos(y2)*cos(x1-x2)+sin(y1)*sin(y2)].

Assuming that in a certain place in China, the shortest time of the rod shadow is 13:20 noon, and the ratio of the rod length to the shadow length is 1, then it can be seen that the place is 45° north latitude (tg = 1), and the ratio of the rod length to the shadow length of 100° east longitude (from 120° to 1 hour minus 15°, 4 minutes minus 1°) needs to be found in the table. The algorithm for calculating the longitude of the two solstices does not change: the latitude is on the winter solstice + in the northern hemisphere, and the summer solstice can be corrected by adding or subtracting the correction value on any day.

Latitude and longitude. The distance between them is calculated as follows:

Calculate the distance d between latitude and longitude on the earth, and know the latitude and longitude of two points on the earth: (x1, y1), (x2, y2), where x1, x2 is latitude and longitude, and y1, y2 is latitude and longitude;

If the radius of the earth.

is r=km, then the distance between two points is d=r*arcos[cos(y1)*cos(y2)*cos(x1-x2)+sin(y1)*sin(y2)].

Assuming that the shortest time for the occurrence of the polar shadow in China is 13:20 at noon, and the ratio of rod length to shadow length is 1, it can be seen that the area is 45° north latitude (tg = 1) and 100° east longitude (from 120° to 1 hour minus 15°, and the ratio of rod length minus 1° to shadow length is found in Table A.

The algorithm for calculating the double day longitude is in the Northern Hemisphere.

Winter Solstice + and Summer Solstice - Corrected values for increasing and subtracting constant latitude on any day.

Summary. Here's how to calculate the distance between latitude and longitude:

Calculate the distance d between latitude and longitude on the earth, and the longitude and latitude of two points on the earth are known: (x1,y1), x2,y2), where x1,x2 is longitude and y1,y2 is latitude;

How do you calculate the distance between latitude and longitude?

Hello, glad to answer for you It takes some time to type, so please wait.

The method of calculating the distance between latitude and longitude is as follows: calculate the distance d between latitude and longitude on the earth, and the latitude and longitude of two points on the earth are known: (x1, y1), x2, y2), where x1, x2 are longitudes, and y1, y2 are latitudes;

Depending on the calculation program, it needs to be converted into radians (*The radius of the earth is r= km, then the distance between the two points d=r*arcos[cos(y1)*cos(y2)*cos(x1-x2)+sin(y1)*sin(y2)].

Assuming that in a certain place in China, the shortest time of the rod shadow is 13:20 at noon, and the ratio of the rod length to the shadow length is 1, then it can be seen that the place is 45° north latitude (tg = 1), and the ratio of the rod length to the shadow length of 100° east longitude (from 120° to 1 hour minus 15°, 4 minutes minus 1°) needs to be found in the table.

The algorithm for calculating the longitude of the two solstices does not change: the latitude is on the winter solstice + in the northern hemisphere, and the summer solstice can be corrected by adding or subtracting the correction value on any day.

What is the straight-line distance between 100°06:18 E and 41°36'25 N, 100°09:43 E, 41°39:11 N?

Look at what I sent you, dear.

On the same meridian, the latitude is one degree apart, and the distance is 111 km

On the same parallel, the longitude is one degree apart, and the distance difference is 111 km multiplied by the number of degrees of cos. On the equator, the longitude differs by one degree, and the distance differs by 111 km

Those that are not on the same latitude or the same meridian are considered separately, and the specific problems are analyzed on a case-by-case basis.