  We consider a spherical particle levitating above a liquid bath owing to the
Leidenfrost effect, where the vapour of either the bath or sphere forms an
insulating film whose pressure supports the sphere's weight. Starting from a
reduced formulation based on a lubrication-type approximation, we use matched
asymptotics to describe the morphology of the vapour film assuming that the
sphere is small relative to the capillary length (small Bond number) and that
the densities of the bath and sphere are comparable. We find that this regime
is comprised of two formally infinite sequences of distinguished limits which
meet at an accumulation point, the limits being defined by the smallness of an
intrinsic evaporation number relative to the Bond number. These sequences of
limits reveal a surprisingly intricate evolution of the film morphology with
increasing sphere size, starting from the formation of a neck-bubble morphology
typical of a Leidenfrost drop levitating above a flat solid substrate and
ultimately reaching a uniform-film morphology similar to that in the case of a
large liquid drop levitating above a liquid bath.
