The laws of physics are not deterministic?
"The laws of physics are deterministic" and "The universe is deterministic" are two quite different things. The first does not imply the second.
In the same way NASA engineers calculate the determined paths of planets/moons for space missions; there is no guess work.
Perhaps you are not aware that NASA mission are highly instrumented. As the mission proceeds, measurements are made, and on the basis of those measurements corrections are made to the flight path (by firing small rockets). This hardly counts as evidence for determinism.
Above all, without an understanding of the basic physics of a problem, we'd be shooting in the dark because our predictions would be utterly useless if the universe were not deterministic.
This is false. In order for physics to be highly useful, it suffices that the laws of physics give very good approximations. It is not necessary that they be exactly correct.
Perhaps you are the one who lacks an understanding of the basic physics.