Formulae For Calculating Great Circle Heading and Distance Information

From the 1982 ARRL antenna book.

1.  cos(D) = (sin(A) * sin(B)) + (cos(A) * cos(B) * cos(L))

2.  cos(C) = (sin(B) - (sin(A) * cos(D))) / (cos(A) * sin(D))

WHERE:

A = YOUR latitude in degrees.
B = latitude of the other location in degrees.
L = YOUR longitude minus that of the other location. (Algebraic difference.)
D = Distance along path in degrees of arc.
C = True bearing from north if the value for sin(L) is positive.  If
sin(L) is negative, true bearing is 360 - C.

To convert degrees of arc to statute miles, multiply by 69.041.
To convert degrees of arc to kilometers, multiply by 111.111.

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Last Upated: March 26, 2006