Trajectory Controllability of Artificial Satellite Under the Effect of Oblateness of Earth

Abstract

This article explores the trajectory controllability of artificial satellites, taking into account the gravitational force of Earth and the force resulting from Earth’s oblateness. Controllability in this context is investigated by transforming the equations of motion into a cylindrical coordinate system and leveraging the concept of Lipschitz continuity within the nonlinear terms, coupled with the application of functional analysis.