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The Motion of a Free Asymmetric Top in n Dimensions
Author(s) -
Julian William H.,
Zund Joseph D.
Publication year - 1986
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1986752171
Subject(s) - principal axis theorem , inertia , motion (physics) , center of mass (relativistic) , dimension (graph theory) , rotation (mathematics) , space (punctuation) , mathematics , euclidean space , mathematical analysis , moment of inertia , principal (computer security) , physics , classical mechanics , stability (learning theory) , geometry , pure mathematics , computer science , energy–momentum relation , machine learning , operating system
The motion and dynamical stability of a free asymmetric top about its center of mass is investigated in a Euclidean space of dimension n . It is shown that each stationary rotation in which only two principal axes of inertia of the top move is stable if and only if no other principal axis has a coefficient of inertia intermediate to those of the two moving axes.