Paul, that second shot is priceless. Is your cat that nearsighted, or is it trying to bite the moth through the screen?
I thought the front antennae were very unusual.
These are the antennae of the male - the branches bear sensors that detect the scent ectohormones (pheromones) emitted by the females, which helps them locate their females for mating. Females have smaller, thinner antennae.