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24 Mar 2020
Suppose a point moves along a circle with radius r as shown in the figure below. The point travels a distance s along the circle in time 
.
The angular speed of the point is 
Suppose a point moves along a circle with radius r as shown in the figure below. The point travels a distance s along the circle in time .
The angular speed of the point is
Sixta KovacekLv2
23 May 2020
of radius 
rolls on the inside of a larger circle of radius 
centered at the origin. Let 
be a fixed point on the smaller circle, with initial position at the point 
as shown in the figure. The curve traced out by 
, the hypocycloid is called an asteroid. Show that in this case the parametric equations can be reduced to
and 
