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45 degrees North

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The answer "45 degrees North" is incorrect. Since the Earth is an oblate ellipsoid, the actual halfway point lies 16.0385 km north of the 45th parallel. As best I can calculate, based on the WGS84 ellipsoid, this parallel is 45 degrees, 8 minutes, 39.544 seconds North latitude, or 45.14432 degrees North.

45 degrees North lies 4,984.944 km from the Equator, or only 49.84% of the 10,001.966 km to the North Pole. The point specified above lies exactly halfway at 5,000.983 km away.

My estimate is based on the Delambre series for the WGS84 ellipsoid, using the formula m(φ) = 6367449.146φ − 16038.509 sin 2φ + 16.833 sin 4φ − 0.022 sin 6φ + 0.00003 sin 8φ where m(φ) is the distance from the equator and φ is the latitude.

(Source: wikipedia)

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11y ago

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