## Curve of Constant Precession

A curve whose Centrode revolves about a fixed axis with constant Angle and Speed when the curve is traversed with unit Speed. The Tangent Indicatrix of a curve of constant precession is a Spherical Helix. An Arc Length parameterization of a curve of constant precession with Natural Equations

 (1) (2)

is
 (3) (4) (5)

where
 (6)

and , and are constant. This curve lies on a circular one-sheeted Hyperboloid
 (7)

The curve is closed Iff is Rational.

References

Scofield, P. D. Curves of Constant Precession.'' Amer. Math. Monthly 102, 531-537, 1995.