 | | 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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| Yu.N. Chelnokov, "Inertial Navigation in Space Using the Regular Quaternion Equations of Astrodynamics," Mech. Solids. 54 (2), 157-168 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
2 |
Pages |
157-168 |
| DOI |
10.3103/S0025654419030063 |
| Title |
Inertial Navigation in Space Using the Regular Quaternion Equations of Astrodynamics |
| Author(s) |
Yu.N. Chelnokov (Institute of Precision Mechanics and Control, Russian Academy of Sciences, Saratov, 410028 Russia, ChelnokovYuN@gmail.com) |
| Abstract |
Quaternion equations are proposed for the ideal operation of spatial inertial navigation systems with an azimuthally stabilized platform and a gyrostabilized platform that keeps its orientation invariant in inertial space, quaternion equations for the ideal operation of strapdown inertial navigation systems in the regular four-dimensional Kustaanheimo–Stiefel variables with consideration of
zonal, tesseral, and sectorial harmonics of the Earth’s gravitational field. The equations are dynamically similar to the regular equations of perturbed spatial two-body problem in the Kustaanheimo–Stiefel variables, which enables to use the results obtained in regular celestial mechanics and astrodynamics theory in inertial astronavigation. The development of operational algorithms for these navigation systems using these equations is considered. |
| Keywords |
astrodynamics, spacecraft, inertial navigation, platform and strapdown inertial navigation systems, regular quaternion equations of inertial navigation, Kustaanheimo–Stiefel variables |
| Received |
03 June 2018 |
| Link to Fulltext |
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| << Previous article | Volume 54, Issue 2 / 2019 | Next article >> |
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