Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
Issued 6 times a year
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V. F. Chub, "On the possibility of application of one system of hypercomplex numbers in inertial navigation," Mech. Solids. 37 (6), 1-17 (2002)
Year 2002 Volume 37 Number 6 Pages 1-17
Title On the possibility of application of one system of hypercomplex numbers in inertial navigation
Author(s) V. F. Chub (Moscow)
Abstract A hypercomplex number system (generalized quaternions) is defined to extend the concept of Hamilton's and Clifford's biquaternions. Characteristic properties of numbers of this system, as well as their potentials for representing space and time translations, rotations, and boosts, are analyzed. Special attention is given to group properties of space-time transformations. The developed formalism is utilized to derive the relativistic equations of inertial navigation in the gravitation-free space.
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Received 1 March 2001
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