Perturbed Motions of a Rotating Symmetric Gyrostat
The aim of the present paper is to provide analytical solutions for the perturbed problem of the behaviour of a symmetric gyrostat about a fixed point. This gyrostat is acted upon by a gyrostatic momentum $l_s (s = 1, 2, 3)$, variable restoring moment $k$ and perturbing moments $M_i (i = 1, 2, 3)$....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research
2015-06-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/644 |
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| Summary: | The aim of the present paper is to provide analytical solutions for the perturbed problem of the behaviour of a symmetric gyrostat about a fixed point. This gyrostat is acted upon by a gyrostatic momentum $l_s (s = 1, 2, 3)$, variable restoring moment $k$ and perturbing moments $M_i (i = 1, 2, 3)$. The moment $k$ is introduced in view of the rotation of gyrostat under the action of electro-magnetic field. The solutions are achieved when the third component of the gyrostatic momentum is different from zero $(l_3 \neq 0)$. The averaging method is applied to investigate the first order approximate solutions of resonant and non-resonant cases. |
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| ISSN: | 0867-888X 2450-8071 |