Newton does an excellent job w.r.t. atmospheric flight, but falls short if you want to discuss near speed of light travel through space. Or, if you are running atomic clocks in satellites.
"All models are wrong, but some are useful."
-George Box
Newtonian physics is one of the most useful models of all time. Only in extremities such as the ones you mentioned does it prove inadequate. If I'm privileged to meet Sir Issac in the hereafter, I will shake his hand and congratulate him for the tremendous impact his model has had upon us all.