2012/04/30 by J. A. Hanna, James Hanna
Engineering · Mathematics · Physics and Astronomy · #Experimental and Theoretical Physics Studies #Fluid dynamics and aerodynamics studies #Planetary Science and Exploration #cond-mat.soft #math-ph #math.MP #physics.class-ph
paper · pdf · doi:10.1088/1751-8113/46/23/235201
published as J. Phys. A: Math. Theor. 46 235201 (2013) · added to discussion and made small revisions to text
arxiv created 2013/05/02 · openalex publication_date 2013/05/16 · arxiv updated 2013/05/22 · openalex created_date 2020/07/02 · openalex updated_date 2026/08/05
Analytical expressions are provided for the configurations of an inextensible, flexible, twistable inertial string rotating rigidly about a fixed axis. Solutions with trivial radial dependence are helices of arbitrary radius and pitch. Non-helical solutions are governed by a cubic equation whose roots delimit permissible values of the squared radial coordinate. Only curves coplanar with the axis of rotation make contact with it.