Spacecraft Formation Design and Control in Keplerian Elliptic Orbits

作者:Yamada Katsuhiko*; Kimura Masaya; Shima Takeya; Yoshikawa Shoji
来源:Journal of the Astronautical Sciences, 2011, 58(2): 195-220.
DOI:10.1007/BF03321165

摘要

In this paper, formation flying between a chief spacecraft moving in an elliptic orbit and a deputy spacecraft is studied. First, by using a state transition matrix (STM) of the Tschauner-Hempel equations, which describe the relative motion between the chief and deputy spacecraft, two formation trajectories that suppress relative distance variations are obtained. These trajectories are extensions of an along-track formation and a general circular orbit wherein the chief spacecraft moves in a circular orbit. The effects of the J(2) perturbation on the trajectories are considered in the initial conditions. Further, the solution of the formation reconfiguration that minimizes the L-2-norm of the deputy control forces is derived. A control law that realizes the reconfiguration trajectory by using a finite number of impulses is also derived. Finally, numerical examples of the construction of the formation trajectories are shown.

  • 出版日期2011-6