The dynamics of rapidly rotating bodies

M. Carmeli

doi:10.1007/BF00738321

The dynamics of rapidly rotating bodies

M. Carmeli

Department of Physics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

The dynamics of rapidly rotating bodies is formulated in a rotationally invariant form in all frames rotating with constant angular velocities relative to each other. This includes the energy, angular momentum, rotational frequency, and moment of inertia. The transformation between these quantities, when expressed in different frames, is then given explicitly and expressed in terms of both the angular momentum and the rotational frequency variables. Comparison with the approximate formula for the Routhian is made, and some consequences of physical interest are drawn.

Original language	English
Pages (from-to)	889-904
Number of pages	16
Journal	Foundations of Physics
Volume	15
Issue number	8
DOIs	https://doi.org/10.1007/BF00738321
State	Published - 1 Aug 1985

ASJC Scopus subject areas

General Physics and Astronomy

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10.1007/BF00738321

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title = "The dynamics of rapidly rotating bodies",

abstract = "The dynamics of rapidly rotating bodies is formulated in a rotationally invariant form in all frames rotating with constant angular velocities relative to each other. This includes the energy, angular momentum, rotational frequency, and moment of inertia. The transformation between these quantities, when expressed in different frames, is then given explicitly and expressed in terms of both the angular momentum and the rotational frequency variables. Comparison with the approximate formula for the Routhian is made, and some consequences of physical interest are drawn.",

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N2 - The dynamics of rapidly rotating bodies is formulated in a rotationally invariant form in all frames rotating with constant angular velocities relative to each other. This includes the energy, angular momentum, rotational frequency, and moment of inertia. The transformation between these quantities, when expressed in different frames, is then given explicitly and expressed in terms of both the angular momentum and the rotational frequency variables. Comparison with the approximate formula for the Routhian is made, and some consequences of physical interest are drawn.

AB - The dynamics of rapidly rotating bodies is formulated in a rotationally invariant form in all frames rotating with constant angular velocities relative to each other. This includes the energy, angular momentum, rotational frequency, and moment of inertia. The transformation between these quantities, when expressed in different frames, is then given explicitly and expressed in terms of both the angular momentum and the rotational frequency variables. Comparison with the approximate formula for the Routhian is made, and some consequences of physical interest are drawn.

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U2 - 10.1007/BF00738321

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JO - Foundations of Physics

JF - Foundations of Physics

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The dynamics of rapidly rotating bodies

Abstract

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