ABSTRACT
Classical mechanics seeks to explain the dynamics of particles and rigid bodies, general classes of interactive systems, rotating Earth problems, motion of charged objects, planetary motions around the Sun and modeling of biological systems. Classical mechanics has an extraordinarily rich history that began about the time of Galileo although its basic foundations were laid later by Newton in his famous treatise, the Principia. He enumerated a set of three axioms which became the cornerstone in explaining most of the qualitative features of classical mechanics. The conservative force represents a special class of force such that the work done by it, as the system evolves from one configuration to another, depends on its initial and final positions only. The method of approximations in connection with the traditional perturbation approach has a long history dating back to the times of Poincaré in the early part of the twentieth century.
