There is no such thing as stationary, not really.
If you somehow managed to achieve "true stationary", space dust would rip you to shreds in seconds.
( Dave Trouser ; the people's choice - 75% agree, Fri 29 Nov 2024, 12:44, archived)

There is no pen

(2 Can Chunder - Work account arbeit macht frei!, Fri 29 Nov 2024, 13:41, archived)

Stationary in relation to the rotating earth.

( Undulating Tentacles of Love getting fun down to acceptable levels, Fri 29 Nov 2024, 13:55, archived)

You'd have to work out if that location would still be close enough for the Earth to still block the Sun.

( Dave Trouser ; the people's choice - 75% agree, Fri 29 Nov 2024, 18:21, archived)

FFS you people need to get good at KSP.
You can have a sun-synchronous orbit that processes to match the rotation and orbit of the Earth's orientation relative to the sun.

The normal way to do it is to keep line of sight with the sun, to power the solar panels or to directly observe the sun itself. The same orbit offset by 180 degrees would keep the satellite in the Earth's shadow.
( brb Learn Ukrainian and prepare for a referendum, Fri 29 Nov 2024, 19:27, archived)

Meh, science trolling isn't the fun it used to be.

( brb Learn Ukrainian and prepare for a referendum, Fri 29 Nov 2024, 19:37, archived)

It is when you fall for it.

( Dave Trouser ; the people's choice - 75% agree, Sat 30 Nov 2024, 12:04, archived)

Please cite examples.

( brb Learn Ukrainian and prepare for a referendum, Sat 30 Nov 2024, 15:47, archived)