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No special provisions for rad hardening needed?
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Core memory is very resistant to radiation. When the Shuttle computers were upgraded to semiconductor memory, radiation became an issue. The solution was to add six extra bits of storage to each word and use ECC. A background process scanned for errors and corrected them. The computer could encounter 100 bit flips per flight, so radiation was significant. (There was even an incident where a single cosmic ray flipped 14 bits.) The other problem with semiconductor memory was its volatility, so the computer had NiCd batteries for backup power to the RAM.

For details on how radiation affected the Space Shuttle's computers, see this paper: https://klabs.org/DEI/Processor/shuttle/oneill_94.pdf

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On the topic of ferromagnetic computing, was there ever any serious investigation of Parametron type machines for at least parts of the flight control or other critical systems where interruptions would have been very serious?
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I assume you're interested in magnetic core logic computers in general, not specifically Parametrons. In the late 1950s, NASA considered core-transistor logic for a spacecraft navigation computer due to its lower power consumption. The prototype version of the Apollo Guidance Computer (1962) used core-transistor logic. But improvements in transistors made core-transistor logic less appealing, not to mention the arrival of ICs. At the end of 1962, NASA decided to use ICs for the Apollo Guidance Computer and abandoned core-transistor logic. The updated AGC kept the core memory and core rope ROM of the earlier AGC, though.
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Yes, those engineering discussions must have been interesting. By that point people had a fair amount of experience in Earth orbit but between the relative newness of space and the relative newness of computers there must have been significant new engineering. Maybe the ICBM programs had some lessons.
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Please write an article about that French computer Project idea: find 64kb kb of such memory and connect it somehow into Apple2, atari and other 8bit cpus hehe

It must be possible to have some hardware adapter to map RAM into that type of memory.

Or even over serial...

ps. Related story: around 10 years ago Texas Instruments started to use FRAM in some of their 16 bit MCUs (msp430 family)

It works exactly like core memory - data still intact after power resets.

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FRAM is a somewhat common retrofit for battery-backed SRAM: https://bastelblog.runlevel3.de/en/restore/ds1250-fram-repla...
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