A monolith tumbling in space

2010

Do you remember TMA-2 orbiting Jupiter? A rectangular cuboid whose sides extend in the ratio of 1 : 4 : 9 has the principal moments of the ratio 1^2+4^2:4^2+9^2:9^2+1^2, or 17:97:82.

An object whose three principal moments are all different is called an asymmetrical top. According to the tennis racket theorem, or as is described in Landau and Lifshitz, the rotation around axis with moment of inertia I2 is unstable, while the ones with I1 and I3 are both stable, assuming that I1 > I2 > I3.

By the way, I was wrong in writing Ibody=(1,2,4) in my previous article, because this can never happen. Again from Landau and Lifshitz:

noneof