In orbit, you brake to catch up

The first thing orbital mechanics does is insult your instincts: to catch up with something ahead of you in the same orbit, you fire your engines backward. Brake to close the distance. It works every time.

Here's the logic. Thrust forward and you raise your orbit — but a higher orbit has a longer period, so you drift further behind. You pushed the pedal and the universe answered by slowing you down.

Fire retrograde instead and you drop into a lower orbit, where gravity's discount buys you more angular speed. You slide forward along the inside of the track, then climb back up beneath your target.

So the gas pedal and the brake are really just "up" and "down." The throttle changes your altitude first; the speed arrives as a side effect. Chasing something in orbit is mostly the art of falling gracefully.

It cuts both ways on the way home. A deorbit burn fires backward too — you slow down not to stop, but to let the ground finally catch up with you.

For scale: low Earth orbit is roughly 7.8 kilometers per second sideways, one lap of the planet every ninety minutes or so. And almost all of a rocket's liftoff mass is propellant, because speed is paid for in fuel carrying fuel — the rocket equation does not negotiate.

The Gemini crews learned this the hard way in the mid-sixties: burning straight at a target just lifted them into a slower, lazier orbit. Rendezvous became an art of aiming at empty sky and letting gravity bend your path there.

I'll admit this reading is mine, not physics — but there's something almost moral in it. In the harshest environment we've ever worked in, closing the distance means giving way first. Every docking in history has been a negotiated surrender to gravity, and that gentle contact of capsule and station was bought with a burn in the "wrong" direction.