TITLE:
Torque Free Axi-Symmetric Gyros with Changing Moments of Inertia
AUTHORS:
A. I. Ismail, Fawaz D. El-Haiby
KEYWORDS:
The Gyroscopic Motions, Moments of Inertia, Satellites, Antennas, Solar Power Collector Systems
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.16,
October
18,
2016
ABSTRACT: 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.