Optimal Continuous Maneuvers for Satellite Formation Reconfiguration in J2-perturbed Orbits

This paper focuses on the fuel-minimum in-plane spacecraft reconfiguration maneuver in J2 perturbed near-circular orbits. The reconfiguration problem is posed as a nonlinear optimal control problem and it is solved by two techniques, namely the Mixed-integer Linear Programming and the Particle Swarm Optimization. The control is assumed to be a piecewise constant function and a linear dynamics model based on relative orbit element parameterization is used to derive the fueloptimal solution. Simulation results demonstrate the efficiency of both proposed methods, pointing out the performance in terms of computing time and accuracy.

[1]  Anil V. Rao,et al.  Optimal Reconfiguration of Spacecraft Formations Using the Gauss Pseudospectral Method , 2008 .

[2]  Giuseppe Di Mauro,et al.  Guidance Solutions for Spacecraft Planar Rephasing and Rendezvous Using Input Shaping , 2018 .

[3]  Jonathan P. How,et al.  Spacecraft Formation Flying: Dynamics, Control and Navigation , 2009 .

[4]  S. Vadali,et al.  Formation Establishment and Reconfiguration Using Impulsive Control , 2005 .

[5]  Dario Spiller,et al.  Minimum-Time Reconfiguration Maneuvers of Satellite Formations Using Perturbation Forces , 2017 .

[6]  Gabriella Gaias,et al.  Impulsive Maneuvers for Formation Reconfiguration Using Relative Orbital Elements , 2015 .

[7]  Jason J. Westphal,et al.  Formation establishment and reconfiguration using differential elements in J2-perturbed orbits , 2014 .

[8]  Dirk Brouwer,et al.  SOLUTION OF THE PROBLEM OF ARTIFICIAL SATELLITE THEORY WITHOUT DRAG , 1959 .

[9]  Dario Spiller,et al.  Particle Swarm Optimization for Time-Optimal Spacecraft Reorientation with Keep-Out Cones , 2016 .

[10]  Bruce A. Conway,et al.  Optimal finite-thrust rendezvous trajectories found via particle swarm algorithm , 2012 .

[11]  F. Bernelli-Zazzera,et al.  Optimization of Low-Thrust Trajectories for Formation Flying with Parallel Multiple Shooting , 2006 .

[12]  J. Junkins,et al.  Analytical Mechanics of Space Systems , 2003 .

[13]  Simone D'Amico,et al.  New Closed-Form Solutions for Optimal Impulsive Control of Spacecraft Relative Motion , 2016 .

[14]  C. Floudas.  Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications , 1995 .

[15]  Michael N. Vrahatis,et al.  Parameter selection and adaptation in Unified Particle Swarm Optimization , 2007, Math. Comput. Model..

[16]  Jonathan P. How,et al.  Spacecraft trajectory planning with avoidance constraints using mixed-integer linear programming , 2002 .

[17]  Dario Spiller,et al.  Continuous maneuvers for spacecraft formation flying reconfiguration using relative orbit elements , 2018, Acta Astronautica.

[18]  David G. Luenberger,et al.  Linear and nonlinear programming , 1984 .

[19]  Jonathan P. How,et al.  The Basics of Analytical Mechanics, Optimization, Control and Estimation , 2010 .

[20]  Simone D'Amico,et al.  New Closed-Form Solutions for Optimal Impulsive Control of Spacecraft Relative Motion , 2016 .

[21]  A. Acikmese,et al.  A Convex Guidance Algorithm for Formation Reconfiguration , 2006 .

[22]  Simone D'Amico,et al.  Autonomous Formation Flying in Low Earth Orbit , 2010 .

[23]  R. H. Lyddane.  Small eccentricities or inclinations in the Brouwer theory of the artificial satellite , 1963 .