I dont get why the speed up works only towards the outer solar system though. Why does it have to loose speed to control direction?
Notice how the probes orbit gets more eccentric but still smaller each time it approaches a planet on the left. The gravity assist is slowing it down, again in the solar reference frame.
Basically, using a flyby to apply retrograde speed is not much more than accelerating prograde and then using the gravity of a planet to A) move your orbital position without a speed change and/or B) redirect your acceleration.
Ah thanks this made sense. I guess if I was spinning something on a string I would have to slow it down for the orbit to shrink.