Wow, calm down, CydeWeys, you're scaring me. To be clear: No source, imprecise sentence, should have added a ton of buts and ifs, but that would make the quest

Wow, calm down, CydeWeys, you're scaring me. To be clear: No source, imprecise sentence, should have added a ton of buts and ifs, but that would make the question twice as long and thrice as boring. I meant it more in a philosophical way. For example: I don't think rockets start on course with a precision of 1e-3, and even if they do, small atmospheric changes will probably cause errors greater than that. I assume the feedback loop of the guidance systems easily smooth over errors this small. So while the theoretical trajectory calculations need more precision, the real world guidance might do not. Another consideration: Is e.g. the length of the rocket know this precise? If temperature on a day changes over a range of e.g. 10 degrees, the materials might expand and contract more than 1e-3. Now that's NASA. There are clearly things requiring much smaller errors. My CPU litography being off a factor 1e-3 will not end well. I meant the quest in my everyday life. If I build a round table for my home, 3.14 will probably serve me well enough on the drawing table. At what point will random Joe Shmoe notice when pi is not exactly 3.14