ZK DAN,
You may want to consider your theory again. It would seem that you are out of phase with reality.
During the Southern Summer the Sun is at it's apparent most southerly point on Dec 22 of 23'27"(tilt of earth axis as I recall) and therefore at sunset would be at it's southmost point not most northerly as you suggest.
I chose not to resort to Spherical Trig because I felt that Crash & Burn wanted a concise and easily perceived explanation.
