Triangle Formation Design in Eccentric Orbits Using Pseudospectral Optimal Control

Abstract

In this paper, we further a general framework for the formation design of distributed space systems. Based on constrained nonlinear optimal control theory, the formation of multi-spacecraft is designed by Pseudospectral methods. The approach deals with the full nonlinear dynamics without using any linearization/approximation techniques; and is applicable to elliptical reference orbits. The method is tested on various formation problems including equilateral triangular formation over eccentric orbits. This framework provides a united and straightforward way to design large-scale formation for distributed space systems.