If a satellite is to be inserted into a retrograde orbit (opposite to Earth rotation direction) is it accelerated straight in the desired "westwards" direction until (after overcoming Earth rotation speed) orbital speed is attained, or is it first inserted into a prograde orbit and then some engines of lower thrust but better specific impulse are used to gradually turn its orbit, through polar, into retrograde - or maybe is some other trick used?

• I can delete this answer if you feel it's not helpful. If you mean to restrict to Earth orbit, it might be good to change the title to "...retrograde geocentric/Earth orbits..." or something similar. The bump in activity will give you a few points as well ;-) – uhoh Apr 16 '19 at 7:59
• I think we had a discussion somewhere about how to turn a prograde into a retrograde orbit. One solution was to accelerate to almost escape velocity and then "fall back" to earth and the other solution was to use the moon. I think while both are possible they are not very useful except maybe if you fly as secondary payload and got a lot of time. Maybe someone can find it. – Christoph Apr 16 '19 at 9:20
• update: I will delete it, now that it was pointed out I was completely wrong! – uhoh Apr 16 '19 at 10:05
• @uhoh: Ah, and there I was thinking how a maneuver that would be good 60km/s "the straightforward way" was optimized to get completed... – SF. Apr 16 '19 at 10:15
• @Christoph That first approach is called a bi-elliptic transfer (en.wikipedia.org/wiki/Bi-elliptic_transfer). In the case of an object like the sun, reversing your orbit can take a little more delta-V than twice that of the solar excape velocity (~32 km/s) if you don't mind sending it out to beyond pluto and waiting a couple of hundred years. Otherwise, you gotta stump up the budget for 60 km/s. – Ingolifs Apr 16 '19 at 22:53