equilibrium positions

Equilibrium Analysis of the Tethered Tug Debris System with Fuel Residuals

The problem of tethered transportation of space debris is considered. The system consists of orbit tug, tether, and passive spacecraft with fuel residuals. The planar motion on circular orbit is studied in the orbital frame. Nonlinear motion equations are obtained by Lagrangian formalism. They consider action of the space tug-thrust and gravitational moments. Two variants of stable positions of relative equilibrium are defined. They depend on main parameters of the tethered system: aspect ratio and mass ratio.