In 1902 he participated in an effort to redetermine with greater precision the longitude difference between London and Paris.
2.
Replace " ? " 2 with declination and longitude difference with hour angle, and change the sign ( since the hour angle is positive westward instead of east ).
3.
The direct series are developed in terms of the longitude difference from the central meridian, expressed in radians : the inverse series are developed in terms of the ratio x / a.
4.
Local time on the Babylonian meridian was indeed about 642 parts ( 35 minutes and 40 seconds ) later than ( ahead of ) the meridian of Jerusalem, corresponding to a longitude difference of 8?5 '.
5.
There are infinitely many solutions; the shortest one is that which covers the actual longitude difference, i . e . does not make extra revolutions, and does not go " the wrong way around ".
6.
When switching from 700 stadia per degree to 500, he ( or Marinos ) expanded longitude differences between cities accordingly ( a point first realized by P . Gosselin in 1790 ), resulting in serious over-stretching of the Earth's east-west scale in degrees, though not distance.
7.
It confirms that the truncation error of the ( eighth order ) Redfearn series is less than 1 mm out to a longitude difference of 3 degrees, corresponding to a distance of 334 km from the central meridian at the equator but a mere 35 km at the northern limit of an UTM zone.
8.
On the other hand the difference of the Redfearn series used by Geotrans and the exact solution is less than 1 mm out to a longitude difference of 3 degrees, corresponding to a distance of 334 km from the central meridian at the equator but a mere 35 km at the northern limit of an UTM zone.
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