I have an ellipsoid: x^2/a+y^2/b+z^2/c=1.
a,b,c are known constants, positive real numbers (c>b>a>0).
This ellipsoid spin in an infinite speed about the axis [v;w;u] and about its center of mass (uniform mass distribution).
How can I calculate the equation of the ellipsoid or other shape that is formed by this infinite speed rotation.
for example if the ellipsoid is rotated about [0;1;0] with infinite speed the formed ellipsoid will be:
x^2/c+y^2/b+z^2/c=1.