200716-2145 EDT
I have found one datasheet for the SSR-40 DA. Rather poor, but does provide some insight to the device.
This part apparently uses a Triac as the output switch. In turn that means the device turns off at close to a load current zero crossing. The external load determines whether that is a source voltage crossing or not.
Apparently, if a low impedance control voltage between 3 and 32 V DC is used to control the SSR, then turn on occurs at the next input supply voltage zero crossing after application of the input control signal. No maximum impedance of this source is provided.
This SSR apparently responds to a resistive signal across the control terminals to make the device a phase shift dimmer. In this mode alone I would not call the device an SSR.
If something else controls the input resistor, then we have combined the SSR function with a phase shift dimmer.function,
The datasheet provides no information on trigger phase angle with respect to input resistance.
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