Skepdick wrote: ↑Fri Jul 12, 2019 10:07 pmBut you do have to figure out what the error-margin in Newton's model is and whether it's tolerable for the task at hand. Only then do you conclude that you don't need Einstein.
Anyone with enough mathematical chops to be anywhere near NASA's telemetry department would know that the margin of error, something in the order of inches on a mission like Apollo 8, is tolerable.
Skepdick wrote: ↑Fri Jul 12, 2019 10:07 pmI think it was an interview with Frank Borman (from Apollo 8 ) where he mentioned that they landed 1.5 miles away from intended landing site.
Well, Apollo 8 only landed in the Pacific ocean. The main problem was that NASA assumed that the Moon is gravitationally smooth. It isn't, there are several mass concentrations that bolloxed the predictions. Exactly the same would have happened if NASA had used general relativity.
Skepdick wrote: ↑Fri Jul 12, 2019 10:07 pmIs that a lot? It would be if they were aiming to dock with anything. Imagine missing the ISS by 1.5 miles...
Bit of a roundabout journey, going to the Moon to reach something that is only 400km away.