ISS is a great one to watch for this effect. Take last nights high pass, potentially visible from horizon to horizon. When it first appears in the west it seems almost stationary. Most of it's movement is towards you (radial). As it gets closer more of it's motion is across your line of sight (angular). When overhead or "abeam" (ISS never goes overhead up here) all its motion is angular. You see the full effect of it's 17000 miles per hour orbital velocity. As it recedes everything is in reverse. Until eventually it's almost stationary as it fades on your easterly horizon. The change in apparent speed is smooth and steady. Nothing to do with flight dynamics or anything. It's entirely a visual perspective effect. Should an object change its apparent speed abruptly or change it's path in any way it is almost certainly within the atmosphere under powered flight. The only orbital parameter that the space shuttle could change significantly whilst in orbit was it's altitude (and thus its orbital period). To rendezvous with ISS the shuttle had to be launched in a fairly narrow window as ISS's orbital plane passed overhead. The shuttle was then effectively fired at it like a bullet. All the directional adjustments to ensure correct orbital insertion were done with the engines while in the atmosphere. Once in orbit all the shuttle had to do, and could do, was play catch up and dock. Then to come home, it would turn blunt end forwards and fire its thrusters in the direction of travel to "de-orbit" . Again, no significant directional control was possible until back in the atmosphere when aerodynamics came into play and the wings did all the work. These limitations (on any orbiting craft) are why the crew of Space Shuttle Columbia could not take refuge on ISS even if they had been aware of the damaged wing on that fateful mission. That flight was not in ISS's orbital plane and there was no way of getting there.