  The localization spectra of Lyapunov vectors in many-particle systems at low
density exhibit a characteristic bending behavior. It is shown that this
behavior is due to a restriction on the maximum number of the most localized
Lyapunov vectors determined by the system configuration and mutual
orthogonality. For a quasi-one-dimensional system this leads to a predicted
bending point at n_c \approx 0.432 N for an N particle system. Numerical
evidence is presented that confirms this predicted bending point as a function
of the number of particles N.
