The design of an electrodynamic tether is a complex task that involves the control of dynamic instabilities, optimization of the generated power (or the descent time in deorbiting missions), and minimization of the tether mass. The electrodynamic forces on an electrodynamic tether are responsible for variations in the mechanical energy of the tethered system and can also drive the system to dynamic instability. Energy sources and sinks in this system include the following: 1) ionospheric impedance, 2) the potential drop at the cathodic contactor, 3) ohmic losses in the tether, 4) the corotational plasma electric field, and 5) generated power and/or 6) input power. The analysis of each of these energy components, or bricks, establishes parameters that are useful tools for tether design. In this study, the nondimensional parameters that govern the orbital energy variation, dynamic instability, and power generation were characterized, and their mutual interdependence was established. A space-debris mitigation mission was taken as an example of this approach for the assessment of tether performance. Numerical simulations using a dumbbell model for tether dynamics, the International Geomagnetic Reference Field for the geomagnetic field, and the International Reference Ionosphere for the ionosphere were performed to test the analytical approach. The results obtained herein stress the close relationships that exist among the velocity of descent, dynamic stability, and generated power. An optimal tether design requires a detailed tradeoff among these performances in a real-world scenario. = area of the tether cross section = semimajor axis of the tethered system orbit = mechanical energy of the tethered system = motional electric field = eccentricity of the tethered system orbit = resultant of the gravitational force = resultant of the perturbation forces = nondimensional Lorentz torque = switching function between passive and active tethers = angular momentum = thickness of a thin-tape tether = current along the tether = central inertia tensor = short-circuit current = inclination of the tethered system orbit = nondimensional current along the tether = tether length = characteristic tether length = nondimensional tether length = gravitational torque on the center of mass = torque of the perturbation forces = mass of the tethered system = electron mass = ion mass = point mass at the lower end of the tether = point mass at the upper end of the tether = density of ionospheric plasma = tether perimeter = electron charge = tether radius = tether resistance
00= position vector = time of descent = tether line unit vector = bias voltage of tether with respect to plasma = potential drop at cathodic contactor = gravitational potential energy = plasma voltage = tether voltage = nondimensional potential drop at the cathodic contactor = velocity of a tether element = inertial velocity of the tethered system = plasma velocity = power dissipated by electrodynamic forces in a tether element = cathodic electric load = arbitrary value...