Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Aslanov, Vladimir S.. 2015. Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1052961
Modern Language Association (MLA)
Aslanov, Vladimir S.. Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments. Advances in Mathematical Physics No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1052961
American Medical Association (AMA)
Aslanov, Vladimir S.. Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1052961
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052961