Talk:Haversine formula: Difference between revisions
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(Explain recommendation to use mean earth radius) |
(→Different results: Make addendum instead of change if you can?) |
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I've change the recommended radius to the mean earth radius. This choice minimizes the RMS relative error and is consistent with the choice which conserves the volume and the area of the earth (in the limit of small flattening). The previous recommendation was the "quadratic mean radius". Unfortunately, its derivation contained a flaw in the way azimuths were sampled, so it does not minimize any reasonable error metric. For an extended discussion see this [https://en.wikipedia.org/wiki/Talk:Great-circle_distance/Archive_1 archived talk page for Great-circle distances] on Wikipedia. [[User:Cffk|cffk]] ([[User talk:Cffk|talk]]) 22:48, 10 February 2014 (UTC) |
I've change the recommended radius to the mean earth radius. This choice minimizes the RMS relative error and is consistent with the choice which conserves the volume and the area of the earth (in the limit of small flattening). The previous recommendation was the "quadratic mean radius". Unfortunately, its derivation contained a flaw in the way azimuths were sampled, so it does not minimize any reasonable error metric. For an extended discussion see this [https://en.wikipedia.org/wiki/Talk:Great-circle_distance/Archive_1 archived talk page for Great-circle distances] on Wikipedia. [[User:Cffk|cffk]] ([[User talk:Cffk|talk]]) 22:48, 10 February 2014 (UTC) |
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:With 53 examples, it is too late to make most radical changes. Try appending a recommendation instead. --[[User:Paddy3118|Paddy3118]] ([[User talk:Paddy3118|talk]]) 07:55, 11 February 2014 (UTC) |
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