Title: Optimal control of satellite formations due to oblateness perturbations
Authors: F.A. Abd El-Salam
Addresses: Department of Mathematics, Faculty of Science, Taibah University, Madina, KSA; Department of Astronomy, Faculty of Science, Cairo University, 12613 Cairo, Egypt
Abstract: The nonlinear satellite dynamics, including gravitational perturbations of zonal harmonics up to is utilised to search for the optimal fuel cost for maintaining a formation is investigated. The system dynamics were developed in an Earth-centred inertial coordinate frame using the methods of Hamiltonian dynamics. Continuous dynamic optimisation theory was used to minimise fuel requirements, resulting in a continuous thrust. The uncontrolled reference trajectory of the formation was restricted to a circular inclined orbit. Additionally, further fuel savings are discussed with possible modifications to orbit altitude, formation radius, and variations in the defined performance index.
Keywords: optimal control; satellite formations; nonlinear dynamics; gravitational perturbations; oblateness perturbations; formation flying; zonal harmonics; fuel costs; system dynamics; Hamiltonian dynamics; continuous dynamic optimisation; continuous thrust; circular inclined orbit; fuel consumption; fuel savings; orbit altitude; formation radius; satellites.
DOI: 10.1504/IJSPACESE.2016.081571
International Journal of Space Science and Engineering, 2016 Vol.4 No.2, pp.138 - 165
Received: 10 Sep 2016
Accepted: 22 Oct 2016
Published online: 13 Jan 2017 *