Performance analysis of GPS based orbit determination via numerical methods for a LEO satellite

Abstract

Determination and control of the satellite's orbit is acting vital role on space mission. Accuracy in calculations for position and velocity of such a satellite is important for fulfilling the tasks. The motion of a Low Earth Orbit (LEO) satellite can be modelled with Keplerian equations. In this study, we use Keplerian equations to construct dynamic model of LEO satellite and analyze performances of three numerical methods (Newton-Raphson, Bancroft and Matlab fsolve) in Global Positioning System (GPS) based trilateration problem solving.