High-Order Analytical Solution of Relative Motion Equation for Satellite Formation Flying in Elliptical Orbit

Ting Wang, Hanlun Lei, Bo Xu, Tian Guan, Jun Guo

2014

Abstract

The paper studied relative motion equation for satellite formation flying with large separations. The configuration is traditionally designed by the periodic solutions of the C-W equation in circle reference orbit or Lawden equation in elliptic reference orbit. Hence, the linear solutions are more suitable for the configuration with small scale formation than large scale formation. However, in some specific situations, it is necessary to use satellites with large separations. Then the paper studied relative motion based on the nonlinear equations in an elliptic reference orbit. The solution is expanded as series form with respect to the eccentricity of the reference orbit, in-plane amplitude and out-of-plane amplitude. Taking the Lawden periodic solution as starting point, the high-order analytical solution is constructed by Lindstedt-Poincare method. Particularly, as the eccentricity is zero, the analytical solution degenerated to express the relative motion in circle reference orbit. Finally, the practical convergence of the analytical solution is discussed in order to examine its validity and applicability.

Paper Citation

in Harvard Style

Wang T., Lei H., Xu B., Guan T. and Guo J. (2014). High-Order Analytical Solution of Relative Motion Equation for Satellite Formation Flying in Elliptical Orbit.In Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-040-6, pages 256-263. DOI: 10.5220/0004996902560263

in Bibtex Style

@conference{icinco14,
author={Ting Wang and Hanlun Lei and Bo Xu and Tian Guan and Jun Guo},
title={High-Order Analytical Solution of Relative Motion Equation for Satellite Formation Flying in Elliptical Orbit},
booktitle={Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2014},
pages={256-263},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004996902560263},
isbn={978-989-758-040-6},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - High-Order Analytical Solution of Relative Motion Equation for Satellite Formation Flying in Elliptical Orbit
SN - 978-989-758-040-6
AU - Wang T.
AU - Lei H.
AU - Xu B.
AU - Guan T.
AU - Guo J.
PY - 2014
SP - 256
EP - 263
DO - 10.5220/0004996902560263