What is the external normal of an ellipsoid at a certain point (x,y,z)? How do I compute it?

Thanks,

Yuval

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- Oct 27th 2008, 04:46 AMyuvalrocellipsoid
What is the external normal of an ellipsoid at a certain point (x,y,z)? How do I compute it?

Thanks,

Yuval - Oct 27th 2008, 07:27 PMThePerfectHacker
Let be your ellipsoid. Define the function .

Now use the property that is orthogonal to the ellipsoid .

Thus, is orthogonal to the ellipsoid.

It remains to put a in front of it if you want it to be internal or external.

Put the right sign and you have your outward normal vector.