Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments
The attitude motion is studied of asymmetric dual-spin gyrostats which may be modeled as free systems of two rigid bodies, one asymmetric and one axisymmetric. Exact analytical solutions of the attitude motion are presented for all possible ratios of inertia moments of these bodies. The dynamics of...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/323714 |
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| author | Vladimir Aslanov |
| author_facet | Vladimir Aslanov |
| author_sort | Vladimir Aslanov |
| collection | DOAJ |
| description | The attitude motion is studied of asymmetric dual-spin gyrostats which may be modeled as free systems of two rigid bodies, one asymmetric and one axisymmetric. Exact analytical solutions of the attitude motion are presented for all possible ratios of inertia moments of these bodies. The dynamics of free gyrostats with zero internal torque is considered. The dimensionless nonlinear equations of the gyrostat are written in Serret-Andoyer canonical variables. The previously known exact solutions are complemented by new several solutions in terms of Jacobi elliptic functions. The results of the study can be useful for the analysis of dual-spin spacecraft dynamics. |
| format | Article |
| id | doaj-art-c7556bb461da4c5eac9de8b6c014cca1 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c7556bb461da4c5eac9de8b6c014cca12025-02-03T05:45:51ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/323714323714Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia MomentsVladimir Aslanov0Department of Theoretical Mechanics, Samara State Aerospace University, 34 Moskovskoe Shosse, Samara 443086, RussiaThe attitude motion is studied of asymmetric dual-spin gyrostats which may be modeled as free systems of two rigid bodies, one asymmetric and one axisymmetric. Exact analytical solutions of the attitude motion are presented for all possible ratios of inertia moments of these bodies. The dynamics of free gyrostats with zero internal torque is considered. The dimensionless nonlinear equations of the gyrostat are written in Serret-Andoyer canonical variables. The previously known exact solutions are complemented by new several solutions in terms of Jacobi elliptic functions. The results of the study can be useful for the analysis of dual-spin spacecraft dynamics.http://dx.doi.org/10.1155/2015/323714 |
| spellingShingle | Vladimir Aslanov Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments Advances in Mathematical Physics |
| title | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_full | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_fullStr | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_full_unstemmed | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_short | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_sort | behavior of a free dual spin gyrostat with different ratios of inertia moments |
| url | http://dx.doi.org/10.1155/2015/323714 |
| work_keys_str_mv | AT vladimiraslanov behaviorofafreedualspingyrostatwithdifferentratiosofinertiamoments |