Displaced non-Keplerian orbits using impulsive thrust

Colin McInnes

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11 Citations (Scopus)
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This paper investigates new families of displaced, highly non-Keplerian orbits in
the two-body problem and artificial equilibria in the circular restricted three-body 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 non-Keplerian orbits found in previous studies. To generate approximations to artificial equilibria in the circular restricted three-body problem, periodic impulses are used to generate a sequence of connected three-body 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 languageEnglish
Pages (from-to)199-215
Number of pages17
JournalCelestial Mechanics and Dynamical Astronomy
Issue number3
Publication statusPublished - Jul 2011


  • Non-Keplerian orbits
  • circular restricted three-body problem
  • artificial equilibria
  • artificial satellites
  • displaced orbits


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