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We study numerically the excitations of off-centered vortices in aBose-Einstein condensate. The displacement of a single vortex and theseparation of a doubly quantized vortex are considered. We find that thecore-localized excitations of the precessing vortices continue to feature theproperty which implies that the vortices are unstable. The core-localized,dipolar, and quadrupolar excitations are found to deform continuously asfunctions of vortex displacements and intervortex separation.Comment: 8 pages, 9 figures. Introduction and Conclusion are fully revised.  Definitions of angular momenta and usage of the time-dependent Bogoliubov  Eqs. are newly clarifie

Instabilities of off-centered vortices in a Bose-Einstein condensate