As already mentioned, the computer booted and worked normally but date and time were forgotten after powering off and on again. The symptom fits to a defective realtime power source, which after 4 decades is no surprise. The questions were: where was the battery placed and what damage did it left there? Answering the first question would answer both.
In all documents I found online, I couldn't see enough of the PCBs or even locate the battery, so I just began disassembling the computer. Please follow these steps to do so but I also strongly suggest to take plenty of photos, so that you can refer to them later:
Now you can remove carefully the upper part of the computer case and move it to the left side. From this step I did far more disassembly than needed because I did not know where the battery was placed. If you can fix the upper case part, so that it won't move and destroy the flexible PCB that connects the display to the motherboard, then you can proceed removing the power section of the computer, as there is where the battery is hidden.
If you want to move the upper case part away, there are 2 connectors to remove near the keyboard, which I removed, as well as the bubble card interface to access them easier (be very careful with the keyboard cable, as its contacts may not stick to the flexible substrate anymore):
Now you can remove the outer 2 screws and take the power section out of the case. Be careful with its connector to the motherboard and gentle move it around until it is free.
Taking the power section apart is easy and I won't describe it in detail. As soon as access to the PCB is given, the battery is visible and I hope that you will be presented with a non-leaking 3-51FT-A battery from YUASA.
As I couldn't find a direct replacement for the 3-51FT-A battery from YUASA, I used an original VARTA 3/V80H which has the same dimensions, comparable capacity and uses NiMH technology, in the hope that it will prove itself non-leaking.
The work is easily done but be careful when placing the connector on the motherboard. I used tweezzers to get it where it belongs:
When I had removed the power section I immediately saw that the switch that selects between operating and charging was mechanical damaged but not as bad that it couldn't be repaired:
Start with re-connecting every removed connector and testing the computer before following all steps backwards that you went through when disassembling the computer.
It's no wonder that the realtime clock is happy with a new battery. :)