You are seeing Venus and the moon. In early January of this year, the moon and Venus are close together in the sky, just after dark (see link below). Though the first quarter moon isn't achieved until Jan 5 (meaning it's less than "half lit" in video), the webcam is clearly sensitive in low light and shows the dimmer celestial body well, while overexposing the brighter moon (and thereby losing some of the shape).
I also grabbed a screen capture from the Jan 2 video; the two light balls in the upper right are Venus and the moon, with the latter reflecting off the water.
http://earthsky.org/astronomy-essent...saturn-mercury