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the formula to draw the Spherical circle

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dose anyone know the formula to draw the Spherical circle like below, thanks.360č½Æä»¶å°åŠ©ę‰‹ęˆŖå›¾20190714221612.jpg360č½Æä»¶å°åŠ©ę‰‹ęˆŖå›¾20190608193306.jpg

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Message 1 of 8
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Do you know about spherical polar coordinates, as well as lines of longitude and latitude?  If we call the Radius "R = 1", the Polar angle "Phi", and the Azimuth angle "Theta", a circle of Longitude at a fixed Theta (and R) is simply drawn by having Phi go from 0 to pi (assuming 0 is the North Pole), while a circle of Latitude fixes Phi and lets Theta go from 0 to 2 pi (this will, of course, draw around the back side of the Globe, but you can just draw the front half-sphere by letting Theta go from 0 to pi).

 

Note that this is a 3-D graph (which LabVIEW can produce).  You can "do the math" and compute the equations for the 2D projection of the 3D plot, of course ...

 

Bob Schor

 

Bob Schor

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Message 2 of 8
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There's a 2D polar plot in Graphics & Sound>Picture Plots...

 

That might not answer the question. Or actually it does imply a "yes" (yes, somebody knows the formula to draw the Spherical circle).

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Message 3 of 8
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Your two grids are not the same, but look up "Wulff net" and "Schmidt net" to see which one is closer to your needs.

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Message 4 of 8
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Dear altenbach,

 

          Thanks for you reply, it seem like the Schmidt net after compare the graph, do you know how to draw it ?

thanks for your help in advance.

360č½Æä»¶å°åŠ©ę‰‹ęˆŖå›¾20190715210400.jpg

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Message 5 of 8
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I have found the formula in the attached, I will try to draw this Schmidt net (equal-area projection)。

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Message 6 of 8
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I have finished this graph.

360č½Æä»¶å°åŠ©ę‰‹ęˆŖå›¾20190726163842.jpg

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Message 7 of 8
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Solution
Accepted by topic author ronke
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Message 8 of 8
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