The Restricted Hill Full 4-Body Problem: application to spacecraft motion about binary asteroids

References

• Margot , J-L , Nolan , MC , Benner , LAM , Ostro , SJ , Jurgens , RF , Giorgini , JD , Slade , MA and Campbell , DB . 2002 . Binary asteroids in the near-Earth object population . Science , 296 ( 5572 ) : 1445 – 1448 .
   PubMed Web of Science ®Google Scholar
• Merline WJ Weidenschilling SJ Durda DD Margot JL Pravec P Storrs AD 2002 Asteroids do have satellites In: W.F. Bottke, A. Cellino, P. Paolicchi and R.P. Binzel (Eds.) Asteroids III Tucson University of Arizona Press
   Google Scholar
• Scheeres , DJ and Marzari , F . 2002 . Spacecraft dynamics in the vicinity of a comet . Journal of the Astronautical Sciences , 50 ( 1 ) : 35 – 52 .
   Web of Science ®Google Scholar
• Scheeres , DJ . 1998 . The Restricted Hill Four-Body problem with applications to the Earth–Moon–Sun system . Celestial Mechanics and Dynamical Astronomy , 70 : 75 – 98 .
   Web of Science ®Google Scholar
• Scheeres , DJ . 2002a . Stability in the full two-body problem . Celestial Mechanics and Dynamical Astronomy , 83 : 155 – 169 .
   Web of Science ®Google Scholar
• Scheeres , DJ . 2002b . Stability of binary asteroids . Icarus , 159 : 271 – 283 .
   Web of Science ®Google Scholar
• Scheeres DJ 2004 Stability of relative equilibria in the Full Two-Body Problem In: E. Belbruno, D. Folta and P. Gurfil (Eds.) Astrodynamics, Space Missions, and Chaos 1017 pp. 81–94 New York Annals of the New York Academy of Science
   Google Scholar
• Villac BF 2003 Dynamics in the Hill problem with applications to spacecraft maneuvers PhD thesis University of Michigan
   Google Scholar
• Maciejewski , AJ . 1995 . Reduction, relative equilibria and potential in the two rigid bodies problem . Celestial, Mechanics and Dynamical Astronomy , 63 : 1 – 28 .
   Web of Science ®Google Scholar
• Koon W-S Marsden JE Ross S Lo MW Scheeres DJ 2004 Geometric mechanics and the dynamics of asteroid pairs In: E. Belbruno, D. Fulta and P. Gurfil (Eds.) Astrodynamics, Space Missions, and Chaos 1017 pp. 11–33 New York Annals of the New York Academy of Science
   Google Scholar
• Scheeres DJ Augenstein S 2003 Spacecraft motion about binary asteroids Paper presented at the Astrodynamics Specialist Conferences, Big Sky, Montana, August 2003. Paper AAS 03–564
   Google Scholar
• Wintner A 1947 The Analytical Foundations of Celestial Mechanics Princeton NJ Princeton University Press
   Google Scholar
• Hill , GW . 1878 . Researches in the lunar theory . American Journal of Mathematics , 1 : 526
   Google Scholar
• Chauvineau , B , Farinella , P and Mignard , F . 1993 . Planar orbits about a triaxial body: applications to asteroidal satellites . Icarus , 105 : 370 – 384 .
   Web of Science ®Google Scholar
• Scheeres , DJ . 1994 . Dynamics about uniformly rotating tri-axial ellipsoids. Applications to asteroids . Icarus , 110 : 225 – 238 .
   Web of Science ®Google Scholar
• Scheeres , DJ , Ostro , SJ , Hudson , RS and Werner , RA . 1996 . Orbits close to asteroid 4769 Castalia . Icarus , 121 : 67 – 87 .
   Web of Science ®Google Scholar
• Scheeres , DJ , Williams , BG and Miller , JK . 2000 . Evaluation of the dynamic environment of an asteroid: applications to 433 Eros . Journal of Guidance, Control and Dynamics , 23 : 466 – 475 .
   Web of Science ®Google Scholar
• Scheeres , DJ , Ostro , SJ , Hudson , RS , DeJong , EM and Suzuki , S . 1998 . Dynamics of orbits close to asteroid 4179 Toutatis . Icarus , 132 : 53 – 79 .
   Web of Science ®Google Scholar
• Murray CD Dermott SF 1999 Solar System Dynamics Cambridge Cambridge University Press
   Google Scholar
• Danby JMA 1992 Fundamentals of Celestial Mechanics 2nd Edn Richmond VA Willmann-Bel
   Google Scholar