For last time, the method that was used to calculate rhumb line distances given in the article were based on a mid-latitude calculation method for a spherical earth. All course angles that I provided in the tables were rounded to the nearest whole degree. If you want to see them to the nearest decimal point I can provide that. It should also be emphasized that the purpose of this article was to come up with approximate noontime locations based on data available to us. To that end I believe I was quite successful. I also have log card data from several of Olympic voyages over the same route of travel and was able to check that using the same tools I used to derive the Titanic positions. In these they gave the actual noon coordinates as well as distances run for each day. I am quite confident that the method I used to estimate Titanic's locations are about as good as anyone can get without having the Titanic's logbook data in hand.