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Curvature of the ellipsoid

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larry-scott
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Iƒ??m having great difficulty in calculating the effective radius of a line at latitude and along a given azimuth. 144 mi long, WGS84?ÿ

looking for an online calculator or spreadsheet. Iƒ??ve spent too much time with the algebra and for some reason I get impossible values. Calculating R(N) and R(M) just isnƒ??t working today.

midpoint:
Latitude 39.79770,?ÿazimuth ?ÿ265.39386


 
Posted : May 8, 2020 9:19 am
john-hamilton
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I get 6386737.812, computed in excel, checked on calculator.?ÿ

Here are the formulas I used, from a slide I made in 2012 for a presentation at Trimble Dimensions

and a chart I made:

?ÿ


 
Posted : May 8, 2020 10:09 am
jacob-wall
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I added the results of the Radii of Curvature in Meridian and Prime Vertical to the results of this online calculator which can get you part of the way there.


 
Posted : May 8, 2020 12:10 pm
whh114
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Latitude 39 47 51.72

Azimuth 265 23 37.9

Radius in Prime Vertical: 6386901.672 m

Radius in Meridian: 6361593.227 m

Gaussian mean radius: Rg = 6374234.889 m

Radius at Azimuth: 6386737.812

?ÿ


 
Posted : May 8, 2020 12:24 pm
larry-scott
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@jacob-wall

thanks for the link. I’m having difficulty with data entry. 


 
Posted : May 8, 2020 4:52 pm

larry-scott
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@whh114

thank you very much. Now I’ll have to figure what the hell I’m doing wrong. 


 
Posted : May 8, 2020 4:53 pm