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"Orbital insertion burns and deorbit burns each typically require a velocity change of about 100–500 ft/sec
The velocity change required for orbital adjustment is approximately 2 ft/sec (0.61 m/s) for each nautical mile of altitude change"
thought this might help
Thank you, we do know the rules of thumb from the Shuttle Crew Operations Manual, which is one primary reference for SSU. No need for a necroposting there.
Also the problem is not finding an approximate solution to the problem, but a rather exact one.