Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.110..199m&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 110, Issue 3, pp.199-215
Astronomy and Astrophysics
Astronomy
Non-Keplerian Orbits, Circular Restricted Three-Body Problem, Artificial Equilibria, Artificial Satellites, Displaced Orbits
Scientific paper
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.
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