Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.1352051
Title: Computing the inertia operator of a rigid body
Authors: Lawton, W. 
Noakes, L.
Issue Date: Apr-2001
Citation: Lawton, W., Noakes, L. (2001-04). Computing the inertia operator of a rigid body. Journal of Mathematical Physics 42 (4) : 1655-1665. ScholarBank@NUS Repository. https://doi.org/10.1063/1.1352051
Abstract: We prove that the inertia operator A of a rigid body is genetically determined, up to a scalar multiple, by the curve Ω in R3 that describes its angular velocity in the body. The precise condition is that Ω not be contained in a two-dimensional subspace of R3. We derive two indirect methods to compute A from the values of O over an arbitrary interval, and a direct method to compute A from the second-and fourth-order moments of Ω. The direct method utilizes moment identities derived from symmetries in Euler's equation. © 2001 American Institute of Physics.
Source Title: Journal of Mathematical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/103032
ISSN: 00222488
DOI: 10.1063/1.1352051
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