The second time derivative of this quantity is related to the kinetic and Chandrasekhar potential energy tensors by the virial theorem, and the third time derivatives of its trace-free part appear in the equation for the luminosity of gravitational radiation.
The second time derivative of this quantity is related to the kinetic and Chandrasekhar potential energy tensors by the virial theorem, and the third time derivatives of its trace-free part appear in the equation for the luminosity of gravitational radiation. This tensor quantity's intermediate eigenvalue corresponds to unstable rotation. In cases where it reduces to a scalar, it is given by the square of the radius of gyration times the mass, and in some cases this quantity can be calculated using Steiner's parallel axis theorem. FTP name this rotational analog of mass whose product with angular acceleration equals torque.
The second time derivative of this quantity is related to the kinetic and Chandrasekhar potential energy tensors by the virial theorem, and the third time derivatives of its trace-free part appear in the equation for the luminosity of gravitational radiation.
{moment of inertia}