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  2. Tennis racket theorem - Wikipedia

    en.wikipedia.org/wiki/Tennis_racket_theorem

    The tennis racket theorem or intermediate axis theorem, is a kinetic phenomenon of classical mechanics which describes the movement of a rigid body with three distinct principal moments of inertia. It has also been dubbed the Dzhanibekov effect , after Soviet cosmonaut Vladimir Dzhanibekov , who noticed one of the theorem's logical consequences ...

  3. Vladimir Dzhanibekov - Wikipedia

    en.wikipedia.org/wiki/Vladimir_Dzhanibekov

    In 1985 he demonstrated stable and unstable rotation of a T-handle nut from the orbit, subsequently named the Dzhanibekov effect. The effect had been long known from the tennis racket theorem, which says that rotation about an object's intermediate principal axis is unstable while in free fall. In 1985 he was promoted to the rank of major ...

  4. Poinsot's ellipsoid - Wikipedia

    en.wikipedia.org/wiki/Poinsot's_ellipsoid

    As described in the tennis racket theorem, rotation of an object around its first or third principal axis is stable, while rotation around its second principal axis (or intermediate axis) is not. The motion is simplified in the case of an axisymmetric body, in which the moment of inertia is the same about two of the principal axes.

  5. File:Dzhanibekov effect.ogv - Wikipedia

    en.wikipedia.org/wiki/File:Dzhanibekov_effect.ogv

    The following other wikis use this file: Usage on ar.wikipedia.org مبرهنة مضرب التنس; Usage on de.wikipedia.org Dschanibekow-Effekt

  6. Hartman–Grobman theorem - Wikipedia

    en.wikipedia.org/wiki/Hartman–Grobman_theorem

    The theorem owes its name to Philip Hartman and David M. Grobman. The theorem states that the behaviour of a dynamical system in a domain near a hyperbolic equilibrium point is qualitatively the same as the behaviour of its linearization near this equilibrium point, where hyperbolicity means that no eigenvalue of the linearization has real part ...

  7. Gimbal lock - Wikipedia

    en.wikipedia.org/wiki/Gimbal_lock

    While only two specific orientations produce exact gimbal lock, practical mechanical gimbals encounter difficulties near those orientations. When a set of gimbals is close to the locked configuration, small rotations of the gimbal platform require large motions of the surrounding gimbals.

  8. January 1978 - Wikipedia

    en.wikipedia.org/wiki/January_1978

    Traveling on Soyuz 27 were the mission commander, Soviet Air Force Lieutenant Colonel Vladimir Dzhanibekov, and veteran cosmonaut and flight engineer Oleg Makarov, who had flown on Soyuz 12. Soyuz 27 docked with the space station and joined Soyuz 26 cosmonauts Yuri Romanenko and Georgy Grechko, who had been on Salyut 6 since December 10. [40]

  9. D'Alembert's paradox - Wikipedia

    en.wikipedia.org/wiki/D'Alembert's_paradox

    The divergence theorem says that = (). The right-hand side is an integral over an infinite volume, so this needs some justification, which can be provided by appealing to potential theory to show that the velocity u must fall off as r −3 – corresponding to a dipole potential field in case of a three-dimensional body of finite extent ...