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Re: Navigation - converting difference in longitude to nautical miles

C
captnwil@coastalnet.com
Wed, Apr 29, 1998 1:16 PM

I'm working on a spreadsheet to get a paper copy of all the waypoints
entered in my loran, along with calculated course, distance and time
information as a backup to the loran.  In order to do that, I need to
convert the difference in lat/lon bedtween two locations (waypoints)
into nautical miles.

The Naval Institute Press published a very ueful book, "The Calculator
Afloat" which has all the formula.  There are different formula for
different types of calculations.  The one below is for Great Circle
distances.

D :  Distance between locations
L1 : Latitude of departure
L2 :Latitude of destination
Lo1 : Longitude of departure
Lo2 : Longitude of destination
DLo : Difference in longitude in departure and destination
C    : Initial Heading

cos D = sin L1 * sin L2 + cos L1 * cos L2 * cos DLo

cos C = (sin L2 - cos D * sin L1) / (sin D * cos L1)

tan C = (sin DLo)  /  (cos L1 * tan L2 - sin L1 * cos DLo)

The symbol * means times.

Good Luck

CaptnWil
40 Pier Pointe
New Bern NC 28562
(252) 636-3601
captnwil@coastalnet.com

>I'm working on a spreadsheet to get a paper copy of all the waypoints >entered in my loran, along with calculated course, distance and time >information as a backup to the loran. In order to do that, I need to >convert the difference in lat/lon bedtween two locations (waypoints) >into nautical miles. The Naval Institute Press published a very ueful book, "The Calculator Afloat" which has all the formula. There are different formula for different types of calculations. The one below is for Great Circle distances. D : Distance between locations L1 : Latitude of departure L2 :Latitude of destination Lo1 : Longitude of departure Lo2 : Longitude of destination DLo : Difference in longitude in departure and destination C : Initial Heading cos D = sin L1 * sin L2 + cos L1 * cos L2 * cos DLo cos C = (sin L2 - cos D * sin L1) / (sin D * cos L1) tan C = (sin DLo) / (cos L1 * tan L2 - sin L1 * cos DLo) The symbol * means times. Good Luck CaptnWil 40 Pier Pointe New Bern NC 28562 (252) 636-3601 captnwil@coastalnet.com