Displaced non-Keplerian orbits using impulsive thrust

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McInnes, Colin (2011) Displaced non-Keplerian orbits using impulsive thrust. Celestial Mechanics and Dynamical Astronomy, 110 (3). pp. 199-215. ISSN 0923-2958 (https://doi.org/10.1007/s10569-011-9351-5)

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Abstract

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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