Earlier quoted context omitted.
Not aeronautics, but control systems engineer and I've seen the explanation. The rocket engine they use is too powerful to hover and move towards the destination in a slow adjustment loop. And there is no throttle control on the engine, 70% minimum which is still too powerful. In order to land you turn the engine off and wait to pick up some vertical speed, then in the last N seconds you turn the engine on to kill th…
Thanks, that's very helpful. > The rocket engine they use is too powerful to hover and move towards the destination in a slow adjustment loop. And there is no throttle control on the engine, 70% minimum which is still too powerful I've seen this a lot, and I've also read about how many times each engine can be re-lit. Can you talk a bit about why the engines have a limited number of times they can be lit? If there we…
The limited number of times the Merlin 1D can be relit is probably referring to the re-usability aspect (from memory they tested "cycling" the engine something like 40 times in qualification testing, but it's a little unclear exactly what a cycle entails). It's the associated "coking" of the engine with hot and sticky carbon/soot from the incomplete combustion of the kerosene that's been speculated to be a major hinderance to the long-term engines survivability.
Other than consumables, it's probably the high (and variable) latency in the switching time that restarting the engine in quick succession that would make it problematic, in addition to the engine damaging aspects you mentioned.
Hover-slamming a first-stage with a Merlin 1D has been heavily tested by F9R-Dev1/2 - it's a completely workable solution that minimizes engine restarts over the flight profile to 3 (boostback, re-entry burn, hoverslam).
While the switching the engine may be made to be workable solution which can effectively throttle the engines between 0% and 70%, a hoverslam with a vehicle with thrust/weight ratio > 1 gives less stress on the entire (~$40 million F9R first stage) vehicle to be reused.