this was on an overcast rainy day
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Similar to my Crosstour Action 4K, which also did a decent job of recording plates in daylight, but was useless doing the same at night, hence my obsession - the GoPro Hero 7 Black does a decent job at night when plates are not too far away, at 1/480S. Video will look extremely dark at 1/960s. There won't be much viewable when played back on-camera, but I'm hoping post brightening will reveal all. I expect colour information will be scant.
don't think it would work in low light or dusk though - I might try it . I'm recording at 2.7k/30fps with electronic stabilisation on, there are some settings that I might have a play with.
I'm pretty sure my old Crosstour Action 4K could have been capable of recording number plates at night, if shutter speed was a user assignable setting... but no, functionality provided by the user interface copied the older GoPros.
ISO 100 is ok at 1/960s, which is the ISO the GoPro is set to automatically switch to for bright scenes, such as when pointed at the rising sun. The first part is ISO 800 when the scene was darker, the clues are car headlights and graininess. It was all underexposed, had to be brightend in post processing. Colours were lack lustre at such high shutter speed, hence boosted too much.
Frame grabs of innocent white car's plate which appears in the above video:
Another blameless BMW plate.
Other, brighter frames from original video. Screengrabs using VLC, bear in mind my VLC is set to brighten a little.