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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 ...
Dzhanibekov was born Vladimir Aleksandrovich Krysin (Russian: Владимир Александрович Крысин) in the remote area of Iskandar in what was then Bostanliq District, South Kazakhstan Region, Kazakh SSR (since 1956 – Tashkent Region, Uzbekistan) [1] on 13 May 1942. His family moved to Tashkent soon after his birth.
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.
Layer cake representation. In mathematics, the layer cake representation of a non-negative, real-valued measurable function defined on a measure space (,,) is the formula = (,) (),
The Routh array is a tabular method permitting one to establish the stability of a system using only the coefficients of the characteristic polynomial.Central to the field of control systems design, the Routh–Hurwitz theorem and Routh array emerge by using the Euclidean algorithm and Sturm's theorem in evaluating Cauchy indices.
A table of constants that includes the same approximation of the square root of 2 as YBC 7289 is the tablet YBC 7243. The constant appears on line 10 of the table along with the inscription, "the diagonal of a square". [2] [4] [5] The mathematical significance of this tablet was first recognized by Otto E. Neugebauer and Abraham Sachs in 1945.
[1] Schelkunoff equivalence principle, introduced by Sergei Alexander Schelkunoff, [6] [7] [8] substitutes the closed surface with a perfectly conducting material body. In the case of a perfect electrical conductor, the electric currents that are impressed on the surface won't radiate due to Lorentz reciprocity. Thus, the original currents can ...
The Tits alternative is an important ingredient [2] in the proof of Gromov's theorem on groups of polynomial growth. In fact the alternative essentially establishes the result for linear groups (it reduces it to the case of solvable groups, which can be dealt with by elementary means).