(32S II) Position, Distance & Bearing Calculations

[Gil]

A1)
Radius Equator WGS84 (Ra) : 6378137 m
Radius Pole WGS84 (Rb) : 6356752.314245179497563966599633655156798171311085497338848571651283208522086835​1009394057094507133

A2)
Acccoring to
International Union of Geodesy and Geophysics,
Earth radius (2Ra+Rb) / 3 :
(about) 6371008.77141505983252 m
Mean Earth circumference = 2×pi× Mmean Earth radius
= (about) 40030228.7044 m for 360 degrees (circle)
=40030228.7044/360 m for 1 degree (longitude)
=40030228.7044/360/60 for 1/60 of degree (or 1' longitude)
=40030228.7044/360/60 = about 1853.25132891 m for 1' (longitude)

B)
Depending on where you are located, this value (of about 1853...) of "your" nautical mile might vary (for 1' longitudel
—> by convention, nautical mile defined later as = exactly 1852.000000 m.

C)
1 nautical mile —> exactly 1.852 km
60 nautical mile —> 1.852 × 60 = exactly 111.12 km

D)
1 mile —> exactly 1760 yards
1 yard —> exactly .9144 m
Therefore, 1 mile —> 1760 × 0.9144 = exactly 1609.344 m, or 1.609344 km

E)
1 nautical mile —> exactly to 1852/1609.344 mile
= about 1. 15077944802354251173148810944086534637715740077944802354251173148810944086534637​71574007794480235 mile

F)
60 nautical miles —> 60 × 1. 15077944802354251173148810944086534637715740077944802354251173148810944086534637​71574007794480235
= about 69. 04676688141255070388928656645192078262944404676688141255070388928656645192078262​94440467668814100 miles
= about 69.05 or 69.047 miles

Regards,
Gil