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Code of Federal Regulations (Last Updated: July 5, 2024) |
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Title 47 - Telecommunication |
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Chapter I - Federal Communications Commission |
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SubChapter B - Common Carrier Services |
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Part 22 - Public Mobile Services |
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Subpart B - Licensing Requirements and Procedures |
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Applications and Notifications |
§ 22.157 - Distance computation.
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The method given in this section must be used to compute the distance between any two locations, except that, for computation of distance involving stations in Canada and Mexico, methods for distance computation specified in the applicable international agreement, if any, must be used instead. The method set forth in this paragraph is considered to be sufficiently accurate for distances not exceeding 475 km (295 miles).
(a) Convert the latitudes and longitudes of each reference point from degree-minute-second format to degree-decimal format by dividing minutes by 60 and seconds by 3600, then adding the results to degrees.
(b) Calculate the mean geodetic latitude between the two reference points by averaging the two latitudes:
(c) Calculate the number of kilometers per degree latitude difference for the mean geodetic latitude calculated in paragraph (b) of this section as follows:
(d) Calculate the number of kilometers per degree of longitude difference for the mean geodetic latitude calculated in paragraph (b) of this section as follows:
(e) Calculate the North-South distance in kilometers as follows:
(f) Calculate the East-West distance in kilometers as follows:
(g) Calculate the distance between the locations by taking the square root of the sum of the squares of the East-West and North-South distances:
(h) Terms used in this section are defined as follows:
(1) LAT1
dd and LON1dd are the coordinates of the first location in degree-decimal format.(2) LAT2
dd and LON2dd are the coordinates of the second location in degree-decimal format.(3) ML is the mean geodetic latitude in degree-decimal format.
(4) KPD
lat is the number of kilometers per degree of latitude at a given mean geodetic latitude.(5) KPD
lon is the number of kilometers per degree of longitude at a given mean geodetic latitude.(6) NS is the North-South distance in kilometers.
(7) DIST is the distance between the two locations, in kilometers.