The length of the three axes of Poinsot's ellipsoid is equal to half of the three values obtained by diagonalizaing the tensor representing this quantity.  Those three values, known as principle ones of these, also appear on the left hand side of the
The length of the three axes of Poinsot's ellipsoid is equal to half of the three values obtained by diagonalizaing the tensor representing this quantity.  Those three values, known as principle ones of these, also appear on the left hand side of the Euler equation.  Two of the three principle ones are equal in the case of a symmetrical top, and all three are equal for a spherical top.  The parallel axis theorem can be used to find one of these along a different axis, and in general, it is equal to the integral of the radius squared times the differential mass element.  FTP what is this quantity, the rotational analog of mass?
The length of the three axes of Poinsot's ellipsoid is equal to half of the three values obtained by diagonalizaing the tensor representing this quantity.  