Rosh Hashana and Yom Kippur - Out of Order?

In Ner Israel many thoughtful students pondered the meanings and the messages of the High Holy Days - Yamim Nora'I'm

A very provocate question went as follows:

Given that RH is a day of judgment - Yom Haddin

And
Given that Yom Kippurim is a Day of Atonement and forgiveness.

The wouldn't it make MORE sense to Have Yom Kippur FIRST so that we would FIRST be forgiven all our trespasses and THEN go into the New Year with a clean slate?

Why have this "reverse" order.

Several responses were given.

A lengthy response will be given BEH during my Scholar-in-Residence Shabbat. For source material, I will focus primarily upon Kitzur Shulchan Aruch 128.

SS
RRW