We report the results of constant-temperature, constant-density, molecular-
dynamics simulations of the melting transition of Kr atoms physisorbed onto
small Lennard-Jones spheres. Adlayer depletion takes place when free bound
ary conditions are used but utilization of a soft reflecting shell results
in a broad melting transition at around T=65K without any appreciable hyste
resis. We introduce structural and bond-orientational parameters and utiliz
e thermodynamic parameters to monitor the behavior of the system; The spher
ical geometry causes compression of the neighbor distances with respect to
those for the corresponding planar case, causing enhanced interaction of th
e neighbor shells via interstitials/vacancies, the nature of which is furth
er elucidated using the bond-orientational information. Quantities related
to the radial degree of freedom change slowly during melting, and bond-orie
ntational order of the Kr lattice persists well into the fluid.