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Regular Precession of a Gyrostat in Three Force Fields
- Authors: Ol’shanskii V.Y.1
-
Affiliations:
- IPTMU RAS
- Issue: Vol 87, No 4 (2023)
- Pages: 571-588
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138879
- DOI: https://doi.org/10.31857/S0032823523040100
- EDN: https://elibrary.ru/MEVCBL
- ID: 138879
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Abstract
The article gives a solution to the problem of possible conditions of regular precession in the motion of a gyrostat around a fixed point under the action of two uniform and one inhomogeneous field. For the known case with equal precession and proper rotation velocities, new solutions are indicated with the precession axis deviated from the symmetry axis of the inhomogeneous field. New cases of regular precession are found, when the ratio of precession and proper rotation velocities is equal to two or one second. Application of the results to precession in orthogonal fields and to precession of a solid are considered.
About the authors
V. Yu. Ol’shanskii
IPTMU RAS
Author for correspondence.
Email: olshanskiy_vlad@mail.ru
Russia, Saratov
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