Implementation and performance of formation flying using differential drag

Abstract Formation flying using only differential drag forces is possible in low Earth orbit. The effectiveness of this technique is addressed for a practical satellite mission. Formation control algorithms typically rely on knowledge of the mean relative position between spacecrafts but this information is not readily available from sensor data and must be approximated using instantaneous sensor data for position and velocity. Several different approaches of obtaining the mean relative position are presented and compared. Two independent controllers are required to achieve precise formation control, one for secular formation maneuvers and another for periodic motion. The performance of each controller is examined using different methods for obtaining estimates of mean relative positions.

[1]  A. Ng,et al.  Differential Drag as a Means of Spacecraft Formation Control , 2007, 2007 IEEE Aerospace Conference.

[2]  Michael Athans,et al.  Optimal Control , 1966 .

[3]  Prasenjit Sengupta,et al.  Averaged Relative Motion and Applications to Formation Flight Near Perturbed Orbits , 2008 .

[4]  Thomas Carter,et al.  Rendezvous equations in a central-force field with linear drag , 2002 .

[5]  Riccardo Bevilacqua,et al.  Decoupled-natural-dynamics Model for the Relative Motion of two Spacecraft without and with J2 Perturbation , 2010 .

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

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

[8]  Thomas Carter,et al.  Clohessy-Wiltshire Equations Modified to Include Quadratic Drag , 2002 .

[9]  Balaji Shankar Kumar,et al.  Time-Optimal Low-Thrust Formation Maneuvering Using a Hybrid Linear/Nonlinear Controller , 2009 .

[10]  Jean de Lafontaine,et al.  Performance Assessment of the Drag-Based Formation Control for the JC2Sat Mission , 2010 .

[11]  Carolina Lee Leonard,et al.  Formationkeeping of spacecraft via differential drag , 1991 .

[12]  Charles E. Roberts An analytic model for upper atmosphere densities based upon Jacchia's 1970 models , 1971 .

[13]  Riccardo Bevilacqua,et al.  Rendezvous Maneuvers of Multiple Spacecraft Using Differential Drag Under J2 Perturbation , 2008 .

[14]  R. Sedwick,et al.  High-Fidelity Linearized J Model for Satellite Formation Flight , 2002 .

[15]  Michael Mathews,et al.  Efficient spacecraft formationkeeping with consideration of ballistic coefficient control , 1988 .

[16]  E. Bergmann,et al.  Orbital Formationkeeping with Differential Drag , 1987 .

[17]  Yoshihide Kozai,et al.  The motion of a close earth satellite , 1959 .

[18]  Hidekazu Hashimoto,et al.  JC2Sat-FF : An International Collaboration Nano-Sat Project Overview of the System Analyses and Design , 2008 .

[19]  A. Ng,et al.  Intersatellite Separation Mechanism for the JC2Sat Formation-Flying Missions , 2011 .

[20]  Balaji Shankar Kumar,et al.  A Bang -Bang Control Approach to Maneuver Spacecraft in a Formation with Differential Drag , 2008 .

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

[22]  D. Vallado Fundamentals of Astrodynamics and Applications , 1997 .