  We study numerically the excitations of off-centered vortices in a
Bose-Einstein condensate. The displacement of a single vortex and the
separation of a doubly quantized vortex are considered. We find that the
core-localized excitations of the precessing vortices continue to feature the
property which implies that the vortices are unstable. The core-localized,
dipolar, and quadrupolar excitations are found to deform continuously as
functions of vortex displacements and intervortex separation.
