Abstract
In both uniform gravitational field and Newtonian central gravitational field, the conditions of stability and instability of the permanent rotation of the Steklov gyro with linear damping or nonlinear damping torques are studied by the Liapunov direct method and the first approximation method. Additionally, some new theorems are used in finding the stability and asymptotic stability of the gyro motion. In the Newtonian central gravitational field for the sake of high accuracy, the second order term of 1/R in the expression of potential energy has been considered, where R is the distance between the mass center of the gyro and the center of the earth. Numerical results are presented to show the domains of attraction in two cases by using a cell-to-cell mapping, the effects of types of damping torque and the system parameters on the gyro motion are also discussed in these cases.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.