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Sounds like a tumbling satellite to me. They can be like that - the quick flash, then nothing for a few seconds, then a flash again, seemingly in the same spot. If you can get some optical aid on them you can see that they have a series of flashes as they tumble but most of them aren't very bright. And they do move, just very slowly. It's very easy to be tricked to thinking its stationary, your eyes/brain are actually pretty bad at judging slow movements.
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