Tracing a Peritrochoid

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This Demonstration shows a mechanism drawing a peritrochoid.
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Contributed by: Erik Mahieu (March 2017)
Open content licensed under CC BY-NC-SA
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The radius of the stationary circle is set to
, and
is the radius of the rolling circle.
A peritrochoid is a sum of two rotations of the rolling circle, expressed in terms of their angle vectors:
1. A rotation around the axes origin: .
2. A rotation around its center: .
The peritrochoid becomes a closed curve after rotations of the rolling circle, where
is the denominator of a rational close to
.
Reference
[1] V. I. Koutsovoulos. "Peritrochoid Curve & the Wankel Engine." Mechanical Drafting Services (Mar 6, 2017) mechdrafting.net/en/portfolio-item/peritrochoid-curve.
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