 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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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 |
01 March 2001 |
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