As the start of my book, or possibly PhD on the ear positions of the Italian greyhound this is a good'n - the parasol position adopted by Satie in full sunshine, (ear hat head). Possibly used to cool the brain, shade the eyes, or it could be the full alert ear position, the length of ear in this particular runty dog causing a 'flopping' characteristic.
I can't remember if he adopts the same method in the rain — more umbrella rather than parasol, it's so long since we saw any of the afore-mentioned wet substance — would actually be rather good to have a good downpour . . .