Hypocycloidal motion

Planar kinematic geometry - cyclic motions

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Specification of a motion

Both centrodes of hypocycloidal motion are circles. Moving centrode rolls by its external circumference along the internal circumference of fixed centrode. Trajectories of moving points and envelopes of moving curves are hypocycloids. The hypocycloidal motion is inverse to pericycloidal motion.

Trajectory of a point (hypocycloidal motion)

Envelope of a circle (hypocycloidal motion)

Envelope of a straight line (hypocycloidal motion)