01 May 1. Convert the lat/long positions given in Table 1 above from degrees:minutes:seconds
1. Convert the lat/long positions given in Table 1 above from degrees:minutes:seconds
(DMS) to decimal degrees (DDeg). Be careful with this conversion, especially for negative
angles.
4 pts 2. Write a function to find the great circle distance between two points on the (spherical)
globe assuming the mean Earth radius is R = 6371 km.
The central angle between two points specified in Lat/Long, (1,
1)
and (2,
2)
is
= cos1
(sin 1
sin 2
+ cos 1
cos 2
cos()),
so the arc length is
d = R
in what ever units R is in (i.e. km in the above value for R).
Ref: https://en.wikipedia.org/wiki/Great-circle_distance
Hint:
1. Note that in traditional navigation usage lat/long are traditionally specified in degrees,
but the above equation requires radians for .
2. The above equation is ill-conditioned for small angles, so it would be better to use
the (now almost forgotten) haversine function.
For testing your algorithm, you should try something that AirNZ would fly on a local
short hop, say Auckland to Gisborne. You can extract lat/long positions from Google
Maps (or Google Earth).
1 % Distance Map Between Gisb
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