ordering ls -U

From: Dan Jacobson (jidanni_at_jidanni.org)
Date: 04/08/04 

Date: Thu, 08 Apr 2004 06:54:39 +0800

Let's say there's a program that processes a directory of files in ls -U order.
I wish to manipulate the order of these files.
If I am successful, ls -U will show them in my preferred order. I then
can run the program.

Probably I need to make a fresh directory, move the files into it in
the order I want, then rename that fresh directory to the old
directory's name. Linux 2.4.24.
Tips before I start?