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cdown1-Visitor
1-Visitor
February 18, 2015
Question

3D point on Sphere

  • February 18, 2015
  • 3 replies
  • 1930 views

I have created a point on a sphere, which is constrained by 2 planes to give me a 3D position.


How ever is there a way to create the sphere as a part of positioning the point so as it will give me all of the features I need to pattern the point for different 3D positions?


I'm not too sure I have explained myself too well, see picture.


say the centre of the sphere is a sample, and the point on the sphere is a port position, I would like to pattern the point to different positions and different sphere diameters.


Hope that makes sense


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3 replies

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davehaigh13-Aquamarine
13-Aquamarine
February 18, 2015
This is from a document I created many years ago. Essentially you need to define your points from the center of the sphere in spherical coordinates. You can use the equations on this page to convert between Cartesian and spherical coordinates.
[cid:image001.png@01D04B6C.4BBC30C0]

David Haigh
D
davehaigh13-Aquamarine
13-Aquamarine
February 18, 2015
I saw it might be easy to miss the Rho vector in the illustration so I filled it in with red.
[cid:image002.png@01D04B6D.78219690]

David Haigh
Phone: 925-424-3931
Fax: 925-423-7496
Lawrence Livermore National Lab
7000 East Ave, L-362
Livermore, CA 94550

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R
rrich1-Visitor
1-Visitor
February 18, 2015
Another possible way is to position points relative/offset to a CSYS. See attached file. Pnt0 and pnt2 are part of a table of points that are positioned to a csys via radius of sphere and angles to x and y planes. Pnt1 was created at the intersection of the sphere surface and two planes.

Ron
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