One way to distinguish the center tap (common wire) from a coil-end wire is by measuring the resistance. Resistance between common wire and coil-end wire is always half of the resistance between coil-end wires. This is because there is twice the length of coil between the ends and only half from center (common wire) to the end. A quick way to determine if the stepper motor is working is to short circuit every two pairs and try turning the shaft. Whenever a higher than normal resistance is felt, it indicates that the circuit to the particular winding is closed and that the phase is working.
After the retaining ring is removed, the entire assembly that spins can be removed. There may be some resistance that feels like removing magnets from each other. Underneath the cup of all outrunner brushless motors is a series of coils. On some motors, between the coils, are hall effect probes. Hall effect probes detect the spinning magnetic field and provide a pulse out of the brushless motors to the electronics. From this pulse the electronics can precisely control the speed of the motor
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