We present results on the size, density, chemical potential, and lifet
ime of a Bose-Einstein condensate as a function of the number of conde
nsate atoms for parameters appropriate to the time-averaged orbiting p
otential trap in which a Bose condensate of Rb-87 atoms was recently f
ormed [M. H. Anderson et al., Science 269, 198 (1995)]. These results
were obtained by solving the time-independent nonlinear Schrodinger eq
uation with anisotropic harmonic trapping potential. We also find vort
ex solutions for the trap and the critical rotation frequency required
for their formation.