The Motion of a Free Asymmetric Top in  n  Dimensions | Zendy

Julian William H. | Zendy; Zund Joseph D. | Zendy

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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.

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