>>2618445Right smack dab in the middle of sunset and sunrise. Or, in more technical terms, when the sun is at its closest to "nadir" (the point on the celestial sphere directly below you) for the night.
The two biggest concentrations of satellites are LEO satellites and Geostationary satellites. GS sats are too far away to give off bright flares, so we'll focus on LEO satellites. LEO is defined as below 1,200 miles ASL. I couldn't find data on the average orbital altitude for LEO satellites, but SpaceX Starlink satellites orbit roughly around 350 miles.
You see satellites because of sunlight reflecting off the body and solar panels. In order for Earth's shadow to obscure every LEO satellite in your entire sky, the sun has to be within 10 degrees of Nadir. In order to not see Starlink sats, the sun must be within 42 deg of Nadir. If you can even see Geostationary satellites, any GS sat within 8.4 degrees of the antisolar point will be in shadow.
That said, any location above 33.5 degrees (or below -33.5 degrees) in latitude will never be able to fully escape LEO satellite hell, as there will always be a portion of the night sky where satellites can exit Earth's shadow.
