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Re: Great Circle puzzle
From: Peter Hakel
Date: 2013 Oct 27, 19:18 -0700
Using Sean’s numbers I get the following:
Initial GC course from spreadsheet sailings.xls:
30.284° (add 180°): 210.284°
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From: Peter Hakel
Date: 2013 Oct 27, 19:18 -0700
Using Sean’s numbers I get the following:
Initial GC course from spreadsheet sailings.xls:
30.284° (add 180°): 210.284°
GC distance from spreadsheet:
4878 nm (subtract from 21600 nm): 16722 nm
4878 nm (subtract from 21600 nm): 16722 nm
GC north vertex (from spreadsheet):
N 62° 49.4’
E 138° 23.7’
N 62° 49.4’
E 138° 23.7’
GC south vertex (reverse latitude, subtract 180° from longitude):
S 62° 49.4’
W 41° 36.3’
S 62° 49.4’
W 41° 36.3’
Waypoints in increments of 15° of longitude (see chart, I just eyeballed the latitudes there) are computed in spreadsheet waypoints.xls.
Here the total length is computed to
be 17131 nm, but that result works with rhumb-line segments between the GC waypoints, which is why it comes out a little larger than the GC value of 16722 nm.
Peter Hakel
Peter Hakel
PS. Some of my numbers could/should be rounded to a smaller number of significant digits, but I decided to show them essentially as computed.
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Depart: Gwadar, Pakistan 25°05'N, 62°18'E; heading ~207°.
Pass between Madagascar and Mozambique.
Pass between Nordenskjold Coast, Antarctica and the Hermite Islands, Chile.
Arrive: Olyutorskiy zaliv, Russia 59°50'N 166°21'E.
Pass between Madagascar and Mozambique.
Pass between Nordenskjold Coast, Antarctica and the Hermite Islands, Chile.
Arrive: Olyutorskiy zaliv, Russia 59°50'N 166°21'E.
Total Distance: ca. 17,000 nm
-Sean C.
File: 125390.waypoints.xls
File: 125390.sailings.xls