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Abstract
This paper investigates new families of displaced, highly nonKeplerian orbits in
the twobody problem and artificial equilibria in the circular restricted threebody problem. The families of orbits presented extend prior work by using periodic impulses to generate displaced orbits rather than continuous thrust. The new displaced orbits comprise a sequence of individual Keplerian arcs whose intersection is continuous in position, with discontinuities in velocity removed using impulses. For frequent impulses the new families of orbits approximate continuous thrust nonKeplerian orbits found in previous studies. To generate approximations to artificial equilibria in the circular restricted threebody problem, periodic impulses are used to generate a sequence of connected threebody arcs which begin and terminate at a fixed position in the rotating frame of reference. Again, these families of orbits reduce to the families of artificial equilibria found using continuous thrust.
the twobody problem and artificial equilibria in the circular restricted threebody problem. The families of orbits presented extend prior work by using periodic impulses to generate displaced orbits rather than continuous thrust. The new displaced orbits comprise a sequence of individual Keplerian arcs whose intersection is continuous in position, with discontinuities in velocity removed using impulses. For frequent impulses the new families of orbits approximate continuous thrust nonKeplerian orbits found in previous studies. To generate approximations to artificial equilibria in the circular restricted threebody problem, periodic impulses are used to generate a sequence of connected threebody arcs which begin and terminate at a fixed position in the rotating frame of reference. Again, these families of orbits reduce to the families of artificial equilibria found using continuous thrust.
Original language  English 

Pages (fromto)  199215 
Number of pages  17 
Journal  Celestial Mechanics and Dynamical Astronomy 
Volume  110 
Issue number  3 
DOIs  
Publication status  Published  Jul 2011 
Keywords
 NonKeplerian orbits
 circular restricted threebody problem
 artificial equilibria
 artificial satellites
 displaced orbits
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 1 Finished

VISIONSPACE  VISIONARY SPACE SYSTEMS: ORBITAL DYNAMICS AT EXTREMES OF SPACECRAFT LENGTH SCALE (ERC ADVANCED GRANT)
McInnes, C.
European Commission  FP7  European Research Council
1/02/09 → 30/09/14
Project: Research