> This doesn't actually work. If you push something down in orbit, you just make its orbit elliptical.

Came here to say this as well! The only caveat to that I can think of is if you're already low enough in orbit, the push making the satellite's orbit elliptical could put it in a drag zone, and then air would do the slowing down for you.

Also, thank you Neal Stephenson for introducing me to the wonderful would of orbital mechanics via Seveneves!

For me, accidentally losing contact with the space ship during a Kerbal space walk taught me exactly how tricky manual orbital piloting is and inspired me to learn more.

The Kerbal never got back to his ship before running out of propellant.

Also plays a role in another of his books, Anathem.

But you could just kick it in the retrograde direction and to de-orbit it. In fact you could use centrifugal force and a cable to generate a significant amount of acceleration using reaction wheels powered by solar panels which would not consume any propellant.

> If you want to lower its orbit, you need to push it back.

if you want to lower its orbit, you probably need to take a lot of complicated stuff in to account which doesn't fit into a comment. i won't charge the orbital dynamacists implementing my idea more if they replace "down" with "the optimal direction for this target, at the optimal moment".

mass of the target, cross sectional area of the target, any out gassing it might be doing, where we're trying to maneuver to next, etc, etc.

if the optimal direction ends up being exactly "down" or "back", i'll buy you a beer.

As a general rule of thumb, the only way to decrease the energy of an orbit (what most people would consider to be "lowering the orbit"), is to apply acceleration in the opposite direction that the object is traveling.

You may be to do this with atospheric drag if you add enough ellipticity but they would only be lowering the orbit indirectly.

> would only be lowering the orbit indirectly.

you know, in the wildly hypothetical world where this was implemented, i don't think the folks cutting the check would mind if you deorbited things directly, or indirectly.