We present the excitation spectrum of a double Bose-Einstein condensat
e for the JILA time orbiting potential trap including the effects of g
ravity. We consider two cases: (i) fixed scattering lengths and equal
numbers of each atomic species as a function of the number of atoms an
d (ii) fixed intraspecies scattering lengths and a fixed, equal number
of atoms in each state as a function of interspecies scattering lengt
h. The spectra reveal the rich dynamics of the system and in particula
r show simultaneous collective excitations of both condensates. [S1050
-2947(98)06302-1].