Actually, the latitudes of the race are such that it cannot go out of the ring 45o S and 60o S. Apparently, the definition of the Southern Sea is south of parallel 60o S. This gives a (-45o) - (-60o) = + 15o = 15 x 60 = 900'. Knowing that one nautical mile corresponds to one arc minute along the meridian, this gives a corridor of width 900 nautical miles (this is clearly stated in the rules of the race (http://www.antarcticacup.com/x_maps.cfm)). The minimum length of the path is if they travelled along the southmost ring with radius (see figure below):
(http://img25.imageshack.us/img25/3320/lec3pic1.jpg)
r = R cos(-60o) = R/2
This gives a circumference of:
s = 2 π r = π R
But, instead of using the radius of the Earth (a hypothetical quantity), let us relate it to the length of a meridian between the North Pole and the Equator L (This corresponds to an arc suspending an angle of 90o = 90 x 60' = 5,400' or, by the definition of nautical miles 5,400 n. mi.). That would correspond to quarter of a circle with radius R on RE and would have a length:
L = R π/2 => R = 2 L/π
Substituting this in the above formula, we get:
s = 2 L
We now ask ourselves: What is the radius of a circle on a FE with this circumference. Obviously:
r = s/(2 π) = L/π = 5,400 n mi/3.14 = 1,720 n mi
This corresponds to a latitude that is 1,720' / 60 = 28.7o south of the North Pole, or latitude of 61.3o N.
I give you a point according to Google Maps that has this latitude:
http://maps.google.com/maps?f=d&source=s_d&saddr=61.3,+-44.121094&daddr=&hl=en&geocode=&mra=ls&sll=63.548552,-41.660156&sspn=10.021377,39.375&ie=UTF8&ll=62.915233,-150.46875&spn=92.291177,360&z=2 (http://maps.google.com/maps?f=d&source=s_d&saddr=61.3,+-44.121094&daddr=&hl=en&geocode=&mra=ls&sll=63.548552,-41.660156&sspn=10.021377,39.375&ie=UTF8&ll=62.915233,-150.46875&spn=92.291177,360&z=2)
Also, I give you these pictures:
| (http://media.mcclatchydc.com/smedia/2007/12/10/16/46-10web-ENV-GREENLAND-MC.standalone.prod_affiliate.91.jpg) | (http://lineout.thestranger.com/files/2007/12/antarctica-summer-400.jpg) |