Optimal Electrodynamic Tether Phasing ManeuversWe study the minimum-time orbit phasing maneuver problem for a constant-current electrodynamic tether (EDT). The EDT is assumed to be a point mass and the electromagnetic forces acting on the tether are always perpendicular to the local magnetic field. After deriving and non-dimensionalizing the equations of motion, the only input parameters become current and the phase angle. Solution examples, including initial Lagrange costates, time of flight, thrust plots, and thrust angle profiles, are given for a wide range of current magnitudes and phase angles. The two-dimensional cases presented use a non-tilted magnetic dipole model, and the solutions are compared to existing literature. We are able to compare similar trajectories for a constant thrust phasing maneuver and we find that the time of flight is longer for the constant thrust case with similar initial thrust values and phase angles. Full three-dimensional solutions, which use a titled magnetic dipole model, are also analyzed for orbits with small inclinations.
Bitzer, Matthew S. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Hall, Christopher D. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
August 24, 2013
September 24, 2007
Publication: Proceedings of the 20th International Symposium on Space Flight Dynamics