Author(s)

A. I. Ismail^1,2, Fawaz D. El-Haiby³

¹Department of Mechanics, Collage of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia.
²Math. Dept., Faculty of Science, Tanta University, Tanta, Egypt.
³Faculty of Science, Umm Al-Qura University, Makkah, Saudi Arabia.

The properties and characteristics of torque free gyros with rotational symmetry and changing moments of inertia are the subject of the subsequent discussion. It shall be understood that the symmetry can be expressed by the notation (A=B) which does not presuppose geometric symmetry, where A and B are the principle moments of inertia about x and y axes respectively. We study the case of a torque free gyro upon which no external torque is acting. The equations of motion are derived when the origin of the xyz-coordinate system coincides with the gyro’s mass center c. This study is useful for the satellites, which have rotational symmetry and changed inertia moments, the antennas and the solar power collector systems.

The Gyroscopic Motions, Moments of Inertia, Satellites, Antennas, Solar Power Collector Systems

Ismail, A. and El-Haiby, F. (2016) Torque Free Axi-Symmetric Gyros with Changing Moments of Inertia. Applied Mathematics, 7, 1934-1942. doi: 10.4236/am.2016.716159.