Birds Mating

I looked out there today, and there were three birds out on the balcony. Two males, and the female from yesterday. I think they are vying for her attention. I took some photos of them doing their mating ritual, I guess is what they're doing. I tried to get one of the male when he was on top of the female. I read up on that, and it appears as though the male does that to ejaculate into the female "cloacal," which is open at just the right time for mating. It only takes a minute for the semen to be inserted, according to what I read.