DTM said:
I wonder if taking off from the southern coast of Texas and landing on the west coast of Florida has been considered...
That's some 4000 to 5000 mile distance. The 1st stage would have to be aloft for some much greater time for such a scenario.
Data on range-altitude is not all that easy to find for the launch. Perhaps on some of the videos it shows some velocities and times, range, altitude.
First stage separation would be about Mach 6 to 10, altitude 60 miles and range perhaps between 50 to 100 miles ( I am assuming). At seperation, gravity and air drag would be the forces on the component. Gravity would have an affect upon the vertical velocity. Air drag would have an affect upon the vertical velocity AND the horizontal velocity. In the meantime, the Earth is still rotating under the component. At some point, during descent most likely, where the air becomes more thick, the horizontal velocity will more match the rotational velocity of the earth, as a guess about 10 to 20 miles up.
At that point, there is a fuel penalty to pay for horizontal motion of the stage and to re-cover the range distance to launch site.
( The range here is not the same range at separation - it could be less than or greater than, depending upon flight criteria. Note that if one launches fully vertical, the drop point would be somewhere west of the launch pad. For the vehicle to remain above the lanch pad as it ascends, as seen from the launch pad, some horizontal motion must be applied to the vehicle to give it a "boosted" velocity in the eastward direction just to keep up with the Earth at the vehicles higher altitude)
Another fuel penalty to pay would be for the controlled vertical descent, where the component has to decelerate from some vertical velocity downward ( air resistance would take it down lower from the Mach 6 at separation - not sure of the value when they start controlled descent with the engines) against the pull of gravity, to a zero velocity at the Earth's surface.
No doubt that more fuel is needed for recoverable components with controlled descent, than with throw away components.
No doubt that the flight path to launch a payload most efficiently is different than for the flight path to most efficiently recover the component back at the launch site.
Somewhere in between is a sweet spot for least amount of fuel to do both, when one trades one against the other.
The extra cost of fuel per launch then has to be comparable to the cost savings of re-use over several launches to break even. If you can re-use multiple times than one could show a real cost savings over the lifetime of the re-usable component(s).