Below is the circuit modified to use a N-MOSFET, which is more readily available. The only difference is that now the positive side is used as the common (ground) reference, but that should not affect you charger since it shouldn't care which side is referenced to common. Just connect the charger polarity as shown in place of the simulated load resistor.
I also changed to a standard 5V zener diode for the voltage reference but the more accurate LT1634-5 I used in the other design will also work.
Edit: Corrected error in schematic.
I also changed to a standard 5V zener diode for the voltage reference but the more accurate LT1634-5 I used in the other design will also work.
Edit: Corrected error in schematic.
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