Published Paper Details:

The field of Theoretical Mathematics has a number of methods and techniques to obtain specific parameters for a given set of data that relates to frequency, time, acceleration and velocity. Newton-Gregory Forward Interpolation Method is one such technique that can be applied for the real-time analysis of motion of physical objects through mathematical modeling. The physical motion of objects involves trajectory path analysis, projectile motion analysis that can relate to the jet plane taking off or a rocket being shot or the motion of a stone or rod in a specific projectile path. The motion of the particle or member can be for a given period of time with certain parameters like positions known and the corresponding velocity and acceleration can be obtained. This novel research idea involves performing the motion analysis of a physical member or particle that moves in a circular path for a specific period of time using Newton-Gregory Forward Interpolation Method and validating the same through the software application Python IDLE 3.10. The study basically involves giving the input as time periods and the corresponding positions of the member to obtain the velocity and accelerations. The same parameters are given as input to the python and the required mathematical code is developed to be executed to obtain the solution.