What are cite a weakness or disadvantage of the newtonian approach?

Answer 1

Here are some weaknesses and disadvantages of the Newtonian approach:

• The disadvantages of Newton's method are that high-order roots can cause convergence to be slow, and the sequence may take undesirable jumps between roots or take a very large step upon encountering an inflection point.

• It's not always easy to figure out what all the forces acting on the particle are.

• It highly favors using Euclidean coordinates to describe the motion of particles. But sometimes the geometry of the situation makes Euclidean coordinates unsuitable.