Wow, that's a great problem. Imagine putting up 10 junk collectors the consist of solar panels a super capacitor and a giant electromagnet-all bundled up in a l

Wow, that's a great problem. Imagine putting up 10 junk collectors the consist of solar panels a super capacitor and a giant electromagnet-all bundled up in a little space drone. The earth tracks garbage maneuvers the drone near the orbital path of the junk, and when the junk comes close pulses the magnet. The junk decelerates, the drone accelerates and then eventually merge orbits. Junk captured. Onto the next one. As most of the acceleration and deceleration is provided by the kinetic energy of the space junk, the drone needs very little reaction mass as it only has to adjust its angular momentum now and then.