Epicycloidal motion

Planar kinematic geometry - cyclic motions

-----------------------

Specification of a motion

Both centrodes of epicycloidal motion are circles. Moving centrode rolls by its external circumference along the external circumference of fixed centrode. Trajectories of moving points and envelopes of moving curves are epicycloids. The epicycloidal motion is inverse to itself.

Trajectory of a point (epicycloidal motion)

Envelope of a circle (epicycloidal motion)

Envelope of a straight line (epicycloidal motion)