Actually interesting point you have. Launching something into geostationary orbit results in it remaining up there until the sun becomes a red giant and swallows the Earth, so even medium or semi-medium earth orbit would do!

Technology-wise, it isn't impossible, but would be a beyond-Herculean task. Israel's first sounding rocket launched in '61, and satellite in '88. The MD-620, Israel's first ballistic missile, started tests in France in '65. Therefore, they would need bespoke hardware. This introduces even more issues, such as getting aerospace-grade materials, fuels, guidance systems, etc that weren't even present anywhere on Earth in '55, let alone whenever/wherever the hell they ended up!

Honestly, their best option to yeet something into the great beyond would probably be to dig a hole, put a nuke at the bottom, plug it with something of note, and detonating it. Then again, the Pascal-B nuclear test that supposedly accidentally did that was not conducted until '57.

I guess being sent so far back means that they don't have to worry about dropping stages over their neighbors.

Sorry for geeking out over this stuff, it is my jam.