How to find the intersection of a rotated plane and a sphere.

Asked Jun 06 '23 at 17:29

Active Jun 06 '23 at 17:39

Viewed 37 times

Suppose I have a plane described in the following form which is rotated t degrees.

$x = u * cos(t)$

$y = v$

$z = -u * sin(t)$

And a sphere such as

$x = sin(v')cos(u')$

$y = sin(v')sin(u')$

$z = cos(v')$

For instance, consider the following diagram

I want to get the equation describing the ellipse which is the intersection of the sphere and the plane.

edited Jun 06 '23 at 17:39

asked Jun 06 '23 at 17:29

Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. – Community Jun 06 '23 at 17:34
2

I think you may use some ideas from the answer to Determine Circle of Intersection of Plane and Sphere – user170231 Jun 06 '23 at 18:03
Quick beginner guide for asking a well-received question + please avoid "no clue" questions. – Anne Bauval Jun 15 '23 at 15:52

0 Answers0