axes of inertia

axes of inertia

[′ak‚sēz əv in′ər·shə]
(physics)
The three principal axes of inertia, namely, one about which the moment of inertia is a maximum, one about which the moment of inertia is a minimum, and one perpendicular to both.
References in periodicals archive ?
Since 1750 when Euler first discovered and defined principal axes of inertia (PAI), it has been used to establish a body coordinate system for different methods [15-21].
The ADCS only includes one three-axis magnetometer and three magnetorquers mutually orthogonal and aligned with the principal axes of inertia, which define the body fixed reference frame ([F.sub.b]).
To simplify the analysis, it is assumed that the gimbal rotation axes are aligned with the principal axes of inertia so that the inertia matrix is diagonal and J = diag([J.sub.x], [J.sub.y], [J.sub.z]); [[??].sub.0] is the net torque vector imposed on the rotation axes; [[??].sub.c] is the moment-arm vector from center of gravity (CG) of rotation axes to geometric center [O.sub.s] of the seeker; [[??].sub.0] is the acceleration vector of geometric center [O.sub.s].
Assuming that the actuator is axisymmetric and the principal axes of inertia of the upper leg are consistent with the corresponding axes of frame [[??].sup.i], the principal moments of inertia are denoted by [mathematical expression not reproducible], and the following expression can be obtained:
Correspondence analysis determines the principal axes of inertia and for each axis the corresponding eigenvalue, which is the same as the inertia of the cloud in the direction of the axis.
The disturbances cause the engine to rotate around three principal axes of inertia. Cylinder firing disturbances cause engine vibration around the roll axis and, in this axis, disturbances are more acutely disruptive and cause very strong vibration.
The disturbances cause the engine to rotate around three principal axes, known as axes of inertia. Cylinder firing disturbances cause engine vibration around the roll axis and, in this axis, disturbances are more acutely disruptive and cause very strong vibration.