  The problem of determining the splitting of the normal bundle of rational
space curves has been considered in the 80s in a series of papers by Ghione and
Sacchiero and by Eisenbud and Van de Ven. With our approach we are able to
obtain results for curves embedded in $\bbP^m$ for $m\geq 3$ and we find an
interesting interplay between the Waring decomposition of binary forms and the
splitting of the normal bundle.
