WOLFRAM|DEMONSTRATIONS PROJECT

Hypotrochoid from Collinear Orbiters

​
angular velocity
4
phase
coordinate
radius of circle for B
offset
time
This Demonstration shows the trajectory of a red point
C
on the segment
AB
that connects two black points
A
and
B
that travel around two circles. The location of
C
is fixed in terms of the ratio
|AC|/|AB|
. The phase or offset does not change the shape of the green orbit. The angular velocity of
C
determines the number of lobes of the green curve it lies on.