LINEAR AND NON-LINEAR MODELLING OF SPACECRAFT RELATIVE MOTION IN THE PROXIMITY OPERATION AT LOW EARTH ORBIT

This paper provides a closed-form relative motion dynamics model with an extensive survey of the current literature with prominence approaches between various and their contribution to the overall field of study. Hence, difficulty is seen in the formation of a benchmark to determine the dynamics models that are applicable for deep space mission scenario and in the evaluation of the efficacy of newly developed relative motion solutions. In addition, illustrates the steps followed in finding an approximate model for a linear and nonlinear system using CW Equation and which make three explicit assumptions: (1) considering two spacecraft model which obey Keplerian motion, (2) close proximity operation between the chief and deputy, and (3) locating chief in near circular orbit. The method has been found to be useful in obtaining linearized approximation whose accuracy is more than that of the traditional approach of linearization about the origin.