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1-Visitor
December 9, 2011
Question

Circle around an ellipse

  • December 9, 2011
  • 6 replies
  • 3573 views

Can anyone help?

A circle rotates tangentially around a fixed ellipse, given the dimensions of the circle and the ellipse, and the angle of rotation,

the problem is to find the centre distance between the circle and the ellipse at any given rotation angle??

6 replies

19-Tanzanite
December 9, 2011

What are you defining as the rotation angle? If you mean the rotation angle of the circle, then for a large ellipse and a small circle there will be many possible distances for any given angle.

24-Ruby IV
December 10, 2011

Brian Webber wrote:

Can anyone help?

A circle rotates tangentially around a fixed ellipse, given the dimensions of the circle and the ellipse, and the angle of rotation,

the problem is to find the centre distance between the circle and the ellipse at any given rotation angle??

Thanks Brian!

It is a fine idea for the Groupe Fine Math curves in Mathcad

I wiil do it!

23-Emerald I
December 10, 2011

I'm not sure why this solution fails in some areas; but you could extrapolate the curve.

24-Ruby IV
December 10, 2011

See the video and sheet in attach:

circle-elipse.png

23-Emerald I
December 10, 2011

Great video!

Where's the math?

24-Ruby IV
December 11, 2011

Fred Kohlhepp wrote:

Great video!

Where's the math?

Thanks and sorry - see the attach!

But the sheet is not ready - I would like by students help to create a curve - like here http://communities.ptc.com/videos/2082 (A Cardioid).