Natural and non-natural spacecraft formations near the L₁ and L₂ libration points in the Sun–Earth/Moon ephemeris system

References

• Micro Arcsecond X-Ray Imaging Mission (MAXIM) [Online] Available at, http://maxim.gsfc. nasa.gov
   Google Scholar
• Stellar Imager Homepage [Online] Available at, http://bires.gsfc.nasa.gov/~si/
   Google Scholar
• Terrestrial Planet Finder (TPF) [Online] Available at, http://planetquest.ipl.nasa.gov/TPF/ tpf_index.html
   Google Scholar
• Terrestrial Planet Finder (TPF) Book [Online] (May 1999) Available at, http://planetquest.jpl.nasa.gov/TPF/tpf_book/index.html
   Google Scholar
• Vassar , RH and Sherwood , RB . 1985 . Eormationkeeping for a pair of satellites in a circular orbit . Journal of Guidance, Control and Dynamics , 8 : 235 – 242 .
   Web of Science ®Google Scholar
• Ulybyshev , Y . 1998 . Long-term formation keeping of satellite constellation using linear quadratic controller . Journal of Guidance, Control, and Dynamics , 21 ( 1 ) : 109 – 115 .
   Web of Science ®Google Scholar
• Chao CC Pollard JE Janson SW 1999 Dynamics and control of cluster orbits for distributed space missions AAS/AIAA Space Flight Mechanics Meeting, 7–10 February 1999 Breckenridge CO AAS AAS Paper 99-126
   Google Scholar
• de Queiroz , MS , Kapila , V and Yan , Q . 2000 . Adaptive nonlinear control of multiple s/c formation flying . Journal of Guidance, Control, and Dynamics , 23 ( 3 ) : 385 – 390 .
   Web of Science ®Google Scholar
• Kapila , V , Sparks , AG , Buffington , JM and Yan , Q . 2000 . Spacecraft formation flying: dynamics and control . Journal of Guidance, Control, and Dynamics , 23 ( 3 ) : 561 – 563 .
   Web of Science ®Google Scholar
• Sparks A 2000 Satellite formationkeeping control in the presence of gravity perturbations American Control Conference, 28–30 June 2000 Chicago IL ACC
   Google Scholar
• Stansbery DT Cloutier JR 2000 Nonlinear control of satellite formation flight AIAA Guidance, Navigation, and Control Conference and Exhibit, 14–17 August 2000 Denver CO AIAA AIAA Paper 2000-4436
   Google Scholar
• Tan Z Bainum PM Strong A 2000 The implementation of maintaining constant distance between satellites in elliptic orbits AAS/AIAA Space Flight Mechanics Meeting, 23–26 January 2000 Clearwater FL AAS pp. 667–683
   Google Scholar
• Wang Z Khorrami F Grossman W 2000 Robust adaptive control of satellite formationkeeping for a pair of satellites American Control Conference, 28–30 June 2000 Chicago IL ACC
   Google Scholar
• Yan Q Yang G Kapila V de Queiroz MS 2000 Nonlinear dynamics nad output feedback control of multiple spacecraft in elliptic orbits American Control Conference, 28–30 June 2000 Chicago IL ACC
   Google Scholar
• Yedevalli RK Sparks AG 2000 Satellite formation flying control design based on hybrid control system stability analysis American Control Conference, 28–30 June 2000 Chicago IL ACC
   Google Scholar
• Irvin DJ Jr. Jacques DR 2001 Linear vs. nonlinear control techniques for the reconfiguration of satellite formations AIAA Guidance, Navigation, and Control Conference and Exhibit, 6–9 August 2001 Montreal Canada AIAA AIAA Paper 2001-4089
   Google Scholar
• Sabol , C , Burns , R and McLaughlin , C . 2001 . Satellite formation flying design and evolution . Journal of Spacecraft and Rockets , 38 ( 2 ) : 270 – 278 .
   Web of Science ®Google Scholar
• Schaub , H and Alfriend , KT . 2001 . Impulsive spacecraft formation flying control to establish specific mean orbit elements . Journal of Guidance, Control, and Dynamics , 24 ( 4 ) : 739 – 745 .
   Web of Science ®Google Scholar
• Starin SR Yedavalli RK Sparks AG 2001 Spacecraft formation flying manoeuvers using linear quadratic regulation with no radial axis inputs AIAA Guidance, Navigation, and Control Conference and Exhibit, 6–9 August 2001 Montreal Canada AIAA AIAA Paper 2001-4029
   Google Scholar
• Vadali SR Vaddi SS Naik K Alfriend KT 2001 Control of satellite formations AIAA Guidance, Navigation, and Control Conference and Exhibit, 6–9 August 2001 Montreal Canada AIAA AIAA Paper 2001-4028
   Google Scholar
• Simó , C , Gómez , G , Llibre , J , Martinez , R and Rodriguez , J . 1987 . On the station keeping control of halo orbits . Acta Astronautica , 15 ( 6/7 ) : 391 – 397 .
   Web of Science ®Google Scholar
• Howell , KC and Keeter , T . 1995 . Station-keeping strategies for libration point orbits—target point and Floquet mode approaches . Advances in the Astronautical Sciences , 89 ( 2 ) : 1377 – 1396 .
   Google Scholar
• Barden , BT and Howell , KC . 1998a . Formation flying in the vicinity of libration point orbits . Advances in Astronautical Sciences , 99 ( 2 ) : 969 – 988 .
   Google Scholar
• Barden , BT and Howell , KC . 1998b . Fundamental motions near collinear libration points and their transitions . The Journal of the Astronautical Sciences , 46 ( 4 ) : 361 – 378 .
   Web of Science ®Google Scholar
• Barden BT Howell KC 1999 Dynamical issues associated with relative configurations of multiple spacecraft near the Sun–Earth/Moon L1 point AAS/AIAA Astrodynamics Specialists Conference, 16–19 August 1999 Girdwood AK AAS AAS Paper 99-450
   Google Scholar
• Howell KC Barden BT 1999 Trajectory design and stationkeeping for multiple spacecraft in formation near the Sun–Earth L1 point IAF 50th International Astronautical Congress, 4–8 October 1999 Amsterdam the Netherlands IAF/IAA IAF/IAA Paper 99-A707
   Google Scholar
• Folta D Carpenter JR Wagner C 2000 Formation flying with decentralized control in libration point orbits International Symposium: Spaceflight Dynamics, June 2000 Biarritz France
   Google Scholar
• Scheeres DJ Vinh NX 2000 Dynamics and control of relative motion in an unstable orbit AIAA/AAS Astrodynamics Specialist Conference, 14–17 August 2000 Denver CO AIAA AIAA Paper 2000-4135
   Google Scholar
• Gómez G Lo M Masdemont J Museth K 2001 Simulation of formation flight near Lagrange points for the TPF mission AAS/AIAA Astrodynamics Conference, 30 July–2 August 2001 Quebec Canada AAS AAS Paper 01-305
   Google Scholar
• Gurfil P Kasdin NJ 2001 Dynamics and control of spacecraft formation flying in three-body trajectories AIAA Guidance, Navigation, and Control Conference and Exhibit, 6–9 August 2001 Montreal Canada AIAA AIAA Paper 2001-4026
   Google Scholar
• Hamilton NH 2001 Formation flying satellite control around the L2 Sun–Earth libration point MS thesis George Washington University Washington DC
   Google Scholar
• Luquette RJ Sanner RM 2001 A non-linear approach to spacecraft formation control in the vicinity of a collinear libration point AAS/AIAA Astrodynamics Conference, 30 July–2 August 2001 Quebec Canada AAS AAS Paper 01-330
   Google Scholar
• Gurfil P Idan M Kasdin NJ 2002 Adaptive neural control of deep-space formation flying American Control Conference, 8–10 May 2002 Anchorage AK ACC pp. 2842–2847
   Google Scholar
• Howell KC Marchand BG 2003 Control strategies for formation flight in the vicinity of the libration points AAS/AIAA Space Flight Mechanics Conference, 9–13 February 2003 Ponce Puerto Rico AAS AAS Paper 03-113
   Google Scholar
• Marchand BG Howell KC 2003 Formation flight near L1 and L2 in the Sun–Earth/Moon ephemeris system including solar radiation pressure AAS/AIAA Astrodynamics Specialists Conference, 3–8 August 2003 Big Sky MT AAS AAS Paper 03-596
   Google Scholar
• Marchand BG Howell KC 2004 Aspherical formations near the libration points of the Sun–Earth/Moon system AAS/AIAA Space Flight Mechanics Meeting, 7–12 February 2004 Maui HI AAS AAS Paper 04-157
   Google Scholar
• McInnes CR 1999 Solar Sailing: Technology, Dynamics and Mission Applications, Springer–Praxis Series in Space Sciences and Technology UK Praxis Publishing Ltd.
   Google Scholar
• Mueller J 1997 Thruster options for microspacecraft: a review and evaluation of existing hardware and emerging technologies 33rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, 6–9 July 1997 Seattle WA AIAA AIAA Paper 97-3058
   Google Scholar
• Gonzales AD Baker RP 2001 Microchip laser propulsion for small satellites 37th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, 8–11 July 2001 Salt Lake City UT AIAA AIAA Paper 2001-3789
   Google Scholar
• Phipps , C and Luke , J . 2002 . Diode laser-driven microthrusters—a new departure for micropropulsion . AIAA Journal , 40 ( 2 ) : 310 – 318 .
   Web of Science ®Google Scholar
• http://space-power.grc.nasa.gov/ppo/projects/eo1/eo1-ppt.html
   Google Scholar
• Nayfeh AH Mook DT 1979 Nonlinear Oscillators New York John Wiley
   Google Scholar
• Howell , KC and Pernicka , HJ . 1988 . Numerical determination of Lissajous trajectories in the restricted three-body problem . Celestial Mechanics , 41 : 107 – 124 .
   Web of Science ®Google Scholar