Displaced non-Keplerian orbits using impulsive thrust

作者：McInnes Colin R^*

来源：Celestial Mechanics and Dynamical Astronomy, 2011, 110(3): 199-215.

DOI：10.1007/s10569-011-9351-5

• Non-Keplerian orbits
• Circular restricted three-body problem
• Artificial equilibria
• Artificial satellites
• Displaced orbits

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.

• 出版日期2011-7