Referenzen

07 Tennis racket theorem
When an object with different principal moments of inertia about each axis is thrown while it rotates, it can suddenly start rotating around an axis different from the one it was initially rotating about. Investigate how the rotational motion of such an object is affected by relevant parameters during its free fall.
Referenzen  Referenz einreichen
  •  Vorführexperimente, Videos

  • Ellipsoids and The Bizarre Behaviour of Rotating Bodies

    more complete explanation as a "reaction" of the Veritasium video

    https://www.youtube.com/watch?v=l51LcwHOW7s

  • https://www.youtube.com/watch?v=1h4zlDRjV0c

    Here he derives the equations of motion for the four-mass rigid body used in the simulations of the "Rigid Body Motion and the Dzhanibekov Effect" video. The analysis uses the Lagrange multiplier method, which yields explicit formulas for the internal forces that hold the rigid body together.

    The Dzhanibekov Effect: Equations and Simulations

  • Rigid Body motion and the Dzhanibekov effect

    Explanation of the Dzhanibekov effect on a rotating rigid body and its relationship to the interaxial theorem

    https://youtu.be/NJLdW4DHRcA?si=NdDu4Dd6m8Kaw3oq

  • The Bizarre Behavior of Rotating Bodies

    This video offers an intuitive explanation of the Dzhanibekov Effect (Tennis Racket Theorem).

    https://www.youtube.com/watch?v=1VPfZ_XzisU

  •  Wissenschaftliche Artikel

  • An asymmetrical body: Example of analytical solution for the rotation matrix in elementary functions and Dzhanibekov effect

    They solve the Poisson equations, obtaining their exact solution in elementary functions for the rotation matrix of a free asymmetrical body with angular velocity vector lying on separatrices. This allows to discuss the temporal evolution of Dzhanibekov’s nut directly in the laboratory system, where it is observed. Qualitative analysis of the solution shows that it properly describes a single-jump Dzhanibekov effect.

    https://www.sciencedirect.com/science/article/pii/S1007570424004428

  • Janibekov’s effect and the laws of mechanics

    They present a simple geometric interpretation of the motion observed by V.A. Janibekov. For understanding this theory, it is sufficient to know the corresponding equations within the limits of the initial course of mechanics, which is available for students of the first and second years of education at a technical university.

    https://link.springer.com/article/10.1134/S1028335813080041

  • The tennis racket effect in a three-dimensional rigid body

    They propose a complete theoretical description of the tennis racket effect. They describe the asymptotics of the phenomenon and conclude about the robustness of this effect with respect to the values of the moments of inertia and the initial conditions of the dynamics. An analytical formula is derived to estimate the twisting effect in the general case. Different examples are discussed.

    https://arxiv.org/pdf/1606.08237

  • The Tennis Racket Theorem, an Analysis and Numerical Simulation of the Intermediate Axis Theorem

    The aim of this paper is to reproduce the phenomenon of the intermediate axes theorem also known as the Dzhanibekov effect or the Tennis Racket effect. A Rigid Body Dynamic model with six degrees of freedom was developed to reproduce the Euler’s law of motion.

    http://venus.ceride.gov.ar/ojs/index.php/mc/article/view/6244

  • The twisting tennis racket

    This paper describes, analyzes, and explains the twisting phenomenon which occurs in a triaxial rigid body (such as a tennis racket) when it is rotating about an axis initially near its unstable intermediate principal axis.

    https://link.springer.com/article/10.1007/BF01049489

  •  Online-Ressourcen

  • Tennis racket theorem

    Wikipedia overview of the phenomenon

    https://en.wikipedia.org/wiki/Tennis_racket_theorem

  •  Sonstiges

  • Alles auf einen Schlag

    deutschsprachiger Artikel im "Physik Journal" zum Phänomen
    für DPG-Mitglieder downloadbar über Link, sonst Mail an mitmachen@gypt.org

    https://pro-physik.de/zeitschriften/physik-journal/2025-11/