So just to be clear, from everything we've agreed on in these last few posts: on FE, the straight-line distance between Chile and NZ is, give or take, approximately 19000 miles. Agreed?

that is not even close; you are waaay too high. It's more like 4500 Km. I did the exact calculation myself from Auckland to Santiago using their specific latitudes and longitudes.

Here is my post: http://theflatearthsociety.org/forums/viewtopic.php?t=7663&sid=7ebcdc3b67913e75c7206f358a51cde7

Wow. Good job, except that you got it all wrong.

Your first mistake? You used the diameter of the spherical earth, for calculations involving the surface of the earth.

Your second mistake? You used the same radius in both equations. For the surface area of the round earth, you are using a completely different radius than you are for the spherical earth.

Your third mistake? When calcualting the surface area of the earth, you used the diameter, instead of the radius.

Should I continue?

Nah, I don't even want to bother. Here is how to do it the right way:

Surface area of RE=4*pi*(6,378.1 km)^2= 511,185,932.523 m^2

Surface area of FE=pi*(40,076/2)^2= 1,261,416,818.729 m^2

I will convert from polar coordinates to cartesian coordinates, then just use the distance formula.

Santiago:

theta = -70.75

length from north pole = 123.47 degrees * 111.32 km (distance between one degree of latitude) = 13,744.95 km

x = length*cos(theta) = 4,531.58

y = length*sin(theta) = -12,976.46

Auckland:

theta = 174.8

length = 14,123.45

x = -14,065.32

y = 1,280.04

Distance between two points:

sqrt((x2-x1)^2+(y2-y1)^2) = 23,432.72 km

(This is all on the flat earth model)

Speed = distance / time

Speed = 23,432.72 / 11.33

Speed = 2,067.59 km/h

In closing;

You fail. The numbers you were criticizing for being too big were, in fact, too small.