Sure. But the question asked was not about what value NASA use, but what precision you need for space travel. The rule of thumb I use when looking at noisy estimates is that you should shoot for twice the precision (one extra bit of information) that you have in your noisiest other value (or of your total noise - they're usually about the same thing). Any less precision than that and your estimate gets worse, but more precision doesn't materially improve your estimate. I don't know a rigorous proof for this but you can hand wave it from the Nyquist-Shannon sampling theorem [0].
So how much uncertainty comes from other sources when deciding on an initial burn for your trip to Mars? Contributing factors could be your fine control over the thrust from the rocket engine, but also solar radiation, gravity or - I suspect this is biggest - attitude control.
I'd guess NASA can achieve a precision of better than 1/500 but probably not 1/50,000, so they'd need about 5 or 6 digits of pi. But I'm interested in hearing a more educated guess!
So how much uncertainty comes from other sources when deciding on an initial burn for your trip to Mars? Contributing factors could be your fine control over the thrust from the rocket engine, but also solar radiation, gravity or - I suspect this is biggest - attitude control.
I'd guess NASA can achieve a precision of better than 1/500 but probably not 1/50,000, so they'd need about 5 or 6 digits of pi. But I'm interested in hearing a more educated guess!
[0] https://en.m.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_samp...