Mechanics of Solids (about journal) 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

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V. Ph. Zhuravlev, "On the limiting accuracy of a free gyro," Mech. Solids. 41 (4), 1-4 (2006)
Year 2006 Volume 41 Number 4 Pages 1-4
Title On the limiting accuracy of a free gyro
Author(s) V. Ph. Zhuravlev (Moscow)
Abstract The drift of an ideal spherical gyro in the absence of external torques is studied. Under these conditions, the gyro drift is caused by thermal vibrations of its crystal lattice.

A similar drift was studied in [1], where the Dulong and Petit law, which holds at room temperatures, was used to describe the dependence of the total vibration energy of elementary particles on the absolute temperature.

Near the absolute zero, this law should be replaced by the Debye law.

The results obtained below are valid without restrictions on the temperature.
References
1.  R. Mathey, "Dérive du gyroscope électrostatique," C. R. Acad. Sci. Paris, Vol. 264, Ser. A, No. 21, pp. 912-913, 1967.
2.  Yu. Martynenko, Motion of a Rigid Body in Electric and Magnetic Fields [in Russian], Nauka, Moscow, 1988.
3.  A. Yu. Ishlinskii, Orientation, Gyros, and Inertial Navigation [in Russian], Nauka, Moscow, 1976.
4.  I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Random Processes [in Russian], Nauka, Moscow, 1977.
5.  Ch. Kittel, Introduction to Solid State Physics, London, Chapman & Hall, 1953.
6.  R. Cannon, "Requirements and design of a special gyro for measuring general relativity effects from an astronomical satellite," in Issues of Gyro Engineering [Russian translation], pp.129-151, Mir, Moscow, 1967.
Received 12 October 2005
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