Determination of distances using a QTH locator. Encyclopedia of radio electronics and electrical engineering

Encyclopedia of radio electronics and electrical engineering / Amateur radio calculations

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For an ultrashortwave it is very important to be able to accurately determine the distance between correspondents. Usually this is done like this: the correspondent's location on the map is determined by the QTH locator, and then the distance is measured with a ruler. At the same time, as experience shows, significant errors are made: firstly, due to the fact that there is still no single map of QTH locators, secondly, errors in measurements are possible, and thirdly, due to the fact that they are produced in a straight line, and not in an arc of a circle of the radius of the Earth.

The proposed formula allows, without using a map, to determine the distance between correspondents on routes up to 2000 km. In this case, the error in determining distances at mid-latitudes will not exceed 1...1,5 km (the side size of the small square of the QTH locator). This formula can be recommended for use in scoring in VHF competitions, which will eliminate the discrepancy in scoring and greatly facilitate the work of the judging panel. The distance between correspondents is calculated using the following formula:

where R is the distance in kilometers;
j is the latitude of the more southerly station (out of two);
N₁- coordinate number of the first letter of the QTH-locator;
N₂ - the same, the second letter;
N₃ - the first digit of the QTH locator:
N₄ - the second digit of the QTH locator (if the second digit is zero, then N₄=10);
N_5SH, N_5D - coordinate numbers of the last letter of the QTH-locator;

A is the coordinate number of the own locator in longitude (it is defined in the same way as the first term in parentheses);

B - the same, by latitude (defined as the second term in parentheses)

4cos values²j (defined by the number N3N4, which is the digital part of the QTH locator, for example, for SPI9e N₃N₄=19), N₁, N₂, N_5SH, N5D for the corresponding letters and numbers of the QTH locator are given in the table.

The table is calculated for the coordinate grid of QTH locators from AA to ZZ, i.e. from 40 to 65 ° N. sh. and 0 to 50° W. e. If the correspondent is located to the west of 0° W. or south of 40 ° N. sh., for example, ZN38J (England) or IZ12e (Central Asia), then N₁ and N₂ they begin to count with a minus sign in the opposite direction, i.e. Z \u1d -2, Y \u3d -50, X \u14d -XNUMX, etc. If the correspondent is located east of XNUMX ° W. etc., for example, EQXNUMXa (Sverdlovsk), then the score N₁ continues on, i.e. A=25, B=27, ..., E=30, etc.

Consider two examples:

1. Determine the distance between I correspondent UK3AAC (SPI9e) and II - UA3TCF (WQ14a):

A₁₁=22+0,1*4+0,02=22,42;

B₁₁=16-0,125*1+0,96=16,84.

More southerly station UK3AAC, since N_I² <N_II², therefore, 4cos²j=1,27, then

2. Determine the distance between UK3AAC and DL7SW (F051g):

A₁₁=5+0,1*1+0,02=5,12;

В₁₁=14-0,125*5+0,89=14,27.

More southerly station DL7SW, hence 4cos²j=1,37, then

Author: S. Bubennikov (UK3AAC); Publication: N. Bolshakov, rf.atnn.ru

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