Not sure I can see that as the noise for a couple reasons??? Not to say it should not be checked but that solenoid is the solid state version we call a BIM for battery isolation manager and it should not be clicking in any way I could explain.
The idea is that we want the coach battery connected to the chassis/start battery. To do that, we need to provide 12VDc to the coil of the BIM.
We do that in two ways for two different reasons. One is when we have a weak start battery and want to use the coach batteries for a "jump start" without jumper cables. So we have a dash switch to push while we crank.
The second use is far more common as battery is sent from a point called "ignition hot" when we have the RV engine running and we want to put a bit of charge back into the coach batteries we may have been using overnight!
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I marked the control battery(LR) and ground (MG) in blue. When we put 12VDC on those two small lugs it energizes a coil that pulls the contacts to connect the Red and green marked lines that go to coach and chassis batteries!
So looking at theory? It's always dangerous to assume things but there really seems to be no reason battery should be reaching this BIM/solenoid before dawn when we are not pushing the boost button or starting the engine!
This is a pretty big relay at nearing small hand size and they are something we can often hear as a thump but if it is doing it repeatedly, there is something wrong somewhere.
But if looking in this compartment and hearing the noise, there are a couple suspect smaller relay up and to the right that may be prone to repeated clicks? Maybe a hand on them to feel for the movement?
But the trick will be catching it while it is actually doing the deed is a whole different headache! Small little square boxes that are there to add mystery to a trip? That other item they show is one of the battery disconnect relays and would not seem to suddenly decide to come alive after all night?