Long-Term Cluster Flight of Multiple Satellites Using Differential Drag

The idea to use differential drag for satellite formation keeping emerged in the mid-1980s, when the feasibility of differential-drag-based control was proven, assuming linearized relative dynamics for two satellites. Unlike previous work in differential-drag-based formation keeping, the present work develops a nonlinear method suitable for missions in excess of a year. It is shown that the differential mean eccentricity is uncontrollable for near-circular orbits, and hence a nonlinear differential-drag-based controller for matching the drag-related secular component of the semimajor axis is developed. An asymptotic stability proof for the controller is provided. Moreover, two new methods for differential-drag-based cluster keeping of multiple modules are developed, thus expanding existing literature, which usually deals with two satellites only. The results are validated using simulations based on the forthcoming Space Autonomous Mission for Swarming and Geolocation with Nanosatellites, showing that diff...

[1]  Oliver Montenbruck,et al.  Autonomous Formation Flying for the PRISMA Mission , 2007 .

[2]  P. Gurfil,et al.  Integrable approximation of J2-perturbed relative orbits , 2012 .

[3]  Jean de Lafontaine,et al.  Linearized Dynamics of Formation Flying Spacecraft on a J2-Perturbed Elliptical Orbit , 2007 .

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

[5]  Kyle T. Alfriend,et al.  Satellite Relative Motion Using Differential Equinoctial Elements , 2005 .

[6]  W. H. Clohessy,et al.  Terminal Guidance System for Satellite Rendezvous , 2012 .

[7]  Keisuke Yoshihara,et al.  Differential Drag as a Means of Spacecraft Formation Control , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[8]  Thomas Carter,et al.  Orbits and Relative Motion in the Gravitational Field of an Oblate Body , 2008 .

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

[10]  P. Gurfil,et al.  The SAMSON Project – Cluster Flight and Geolocation with Three Autonomous Nano-satellites , 2012 .

[11]  H. Schaub,et al.  Impulsive Feedback Control to Establish Specific Mean Orbit Elements of Spacecraft Formations , 2001 .

[12]  K. Alfriend,et al.  State Transition Matrix of Relative Motion for the Perturbed Noncircular Reference Orbit , 2003 .

[13]  Riccardo Bevilacqua,et al.  Multiple spacecraft rendezvous maneuvers by differential drag and low thrust engines , 2009 .

[14]  Steven G. Tragesser,et al.  GUIDANCE FOR RELATIVE MOTION OF LOW EARTH ORBIT SPACECRAFT BASED ON RELATIVE ORBIT ELEMENTS , 2004 .

[15]  Pini Gurfil,et al.  Optimal Fuel-Balanced Impulsive Formationkeeping for Perturbed Spacecraft Orbits , 2008 .

[16]  Desmond George King-Hele,et al.  The effect of the earth’s oblateness on the orbit of a near satellite , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

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

[18]  I. Michael Ross.  Linearized Dynamic Equations for Spacecraft Subject to J Perturbations , 2003 .

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

[20]  W. Wiesel.  Relative Satellite Motion About an Oblate Planet , 2002 .

[21]  Blake B Hajovsky.  Satellite Formation Control Using Atmospheric Drag , 2007 .

[22]  Pini Gurfil,et al.  Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations , 2011 .

[23]  David Mishne,et al.  Formation Control of Satellites Subject to Drag Variations and J2 Perturbations , 2002 .

[24]  Pini Gurfil,et al.  Adaptive Neural Control of Deep-Space Formation Flying , 2003 .

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

[26]  Kamesh Subbarao,et al.  Nonlinear Control of Motion Synchronization for Satellite Proximity Operations , 2008 .

[27]  R. Battin.  An introduction to the mathematics and methods of astrodynamics , 1987 .

[28]  H. Schaub,et al.  J2 Invariant Relative Orbits for Spacecraft Formations , 2001 .

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