Bill,
It's been a long time between use of my 51 so batts were removed for months. However, I installed fresh batts and programmed a couple of freqs for a few minutes, then removed then cover with the two batts for a few minutes. Then refit the cover and found the two freqs were still programmed.
As I recall, this scanner has a cap charge which should hold the memory for a day or so.
Edit: However, the OM doesn't mention this issue.