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|Title:||Computing the inertia operator of a rigid body||Authors:||Lawton, W.
|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|
|Appears in Collections:||Staff Publications|
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