Skip to main content
University of North Dakota
University of North Dakota
    • Email
    • Blackboard
    • Campus Connection
    • Employee Self-Service (HRMS)
    • Starfish
    • Degree Map
  • Directory
  • Calendar
  • Scope of this search:
College of Arts & Sciences
College of Arts & Sciences
  • About
  • Academics
  • Current Students
  • Faculty & Staff
  • Research
University of North Dakota
  • About
  • Academics
  • Current Students
  • Faculty & Staff
  • Research
  • Request Info
  • Visit
  • Apply
Scope of this search:
  • Request Info
  • Visit
  • Apply
Scope of this search:
College of Arts & Sciences
  • Home
  • Academics
  • Physics & Astrophysics
  • Colloquia
  • 2017 18
  • Colloquium: Christian Peterson
Skip Section Navigation
  • Physics & Astrophysics
  • Courses
  • Scholarships
  • Research
  • Faculty & Staff
  • News & Events
  • Colloquia Show/hide children
    • 2017-2018
    • 2015-2016
    • 2014-2015
    • 2013-2014
    • 2012-2013

Colloquium: Christian Peterson

Christian Peterson
Department of Physics and Astrophysics
University of North Dakota
Grand Forks, ND
 
 

Euler’s Rotation Equations for a Freely Rotating Object and the Dzhanibekov Effect

Euler’s rotation equations, a set of non-linear coupled ODE’s, are solved analytically in the non-inertial or body frame of reference in terms of Jacobi’s Elliptic functions. The solution constructs a transformation between the stationary and rotating frames by giving the time dependence of the Euler angles, ϕ, θ, and ψ that define three factors of the rotation matrix.A computer animation of the elliptic function solution is then applied to explain the flipping motion of a spinning T-handle in zero gravity, known as the Dzhanibekov effect, seen in several famous videos on the internet.

Department of Physics & Astrophysics
Witmer Hall Room 213
101 Cornell St Stop 7129
Grand Forks, ND 58202-7129
P 701.777.2911
physics@UND.edu
  • Facebook
We use cookies on this site to enhance your user experience.

By clicking any link on this page you are giving your consent for us to set cookies, Privacy Information.

College of Arts & Sciences

Columbia Hall, Room 1930
501 N Columbia Rd Stop 8038
Grand Forks, ND 58202-8038

UND.artssci@UND.edu |  701.777.2749
  • Instagram
  • Facebook
  • Twitter
  • LinkedIn
  • Library
  • Essential Studies
  • One-Stop
  • Registrar
  • Bookstore
  • Contact UND
  • Campus Map
  • Employment
  • Tech Support
  • Make a Gift
University of North Dakota

© 2022 University of North Dakota - Grand Forks, ND - Member of ND University System

  • Accessibility & Website Feedback
  • Terms of Use & Privacy
  • Notice of Nondiscrimination
  • Student Disclosure Information
  • Title IX
©