 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V.F. Chub, "Exact Geodesic Precession Related Solutions of the Inertial Navigation Equations," Mech. Solids. 49 (3), 237-252 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
3 |
Pages |
237-252 |
| DOI |
10.3103/S0025654414030017 |
| Title |
Exact Geodesic Precession Related Solutions of the Inertial Navigation Equations |
| Author(s) |
V.F. Chub (Korolev Rocket and Space Corporation "Energiya," ul. Lenina 4A, Korolev, Moscow oblast, 141070 Russia, v.chub@mail.ru) |
| Abstract |
Various cases of uniform circular motion of an object subjected to gravitational acceleration are considered. Special attention is paid to the exact geodesic precession related solution of the relativistic inertial navigation equations. |
| Keywords |
geodesic precession, conformal group, quaternions and biquaternions, inertial navigation equations, gyrostabilized platform |
| References |
| 1. | V. F. Chub,
"Exact Thomas Precession Related Solutions of the Inertial Navigation Equations,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 3-18 (2014)
[Mech. Solids (Engl. Transl.)
49 (2), 113-126 (2014)]. |
| 2. | V. F. Chub,
"On the Possibility of Application of one System of Hypercomplex Numbers in Inertial Navigation,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 3-23 (2002)
[Mech. Solids (Engl. Transl.)
37 (6), 1-17 (2002)]. |
| 3. | V. F. Chub,
"Use of the Conformal Group in the Theory of Inertial Navigation,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 3-17 (2006)
[Mech. Solids (Engl. Transl.)
41 (5), 1-12 (2006)]. |
| 4. | R. C. Langford,
"Inertial System Transducers Based on New Physical Principles,"
AIAA Paper No. 65-401, AIAA 2nd Annual Meeting,
July 26-29, 1965
[Voprosy Raketn. Tekhn. (Russ. Transl.),
No. 9, 68-90; No. 10, 62-71 (1966)]. |
| 5. | V. Ph. Zhuravlev,
"On Some Details of the Unique Experiment `Gravity Probe-B',"
Giroskop. Navigats.,
No. 1, 3-9 (2009). |
| 6. | V. V. Kiselev,
"The Fifth Classical Test of the General Theory of Relativity,"
Priroda,
No. 10, 74-75 (2011). |
| 7. | O. V. Baburova and B. N. Frolov,
"The `Gravity Probe B' Experiment, Interaction between the Orbital Moment
and Gauge Field, and a Gravidiamagnetic Effect,"
Izv. Vyssh. Uchebn. Zaved. Fiz.
54 (1), 111-112 (2011)
[Russ. Phys. J. (Engl. Transl.)
54 (1), 124-126 (2011)]. |
| 8. | E. Levchenko,
"Gravity Probe-B: The End of a Long Story,"
Novosti Kosmonavt.
21 (7), 48-49 (2011). |
| 9. | Yu. N. Eroshenko,
"Physics News on the Internet (Based on Electronic Preprints),"
Uspekhi Fiz. Nauk
181 (6), 678 (2011)
[Phys. Uspekhi (Engl. Transl.)
54 (6), 659 (2011)]. |
| 10. | N. I. Krobka,
"Quantum Micromechanics: Gyros Based on de Broglie Waves and Quantum
Nature of Superfluid Liquids. Development Trend and State of Design,"
Giroskop. Navigats.,
No. 3, 36-55 (2009). |
| 11. | V. G. Peshekhonov,
"Gyroscopic Systems: Current Status and Prospects,"
Giroskop. Navigats.,
No. 1, 3-16 (2011). |
| 12. | V. T. Vodnev, A. F. Naumovich, and N. F. Naumovich,
Basic Mathematical Formulas. Reference Book,
Ed. by Yu. S. Bogdanov
(Vysshaya Shkola, Minsk, 1995)
[in Russian]. |
|
| Received |
29 June 2011 |
| Link to Fulltext |
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