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... In my last message I said
that, to the extent that the radius of the Earth is NOT negligible,
the required launch speed depends on both the ratio R_earth/R_orbit
and the ratio v_orbit/v_esc. I should have added that it also
depends on the direction of launch in exactly the way Tore has
indicated.
It should also be noted, however, that "escape velocity" in a case
like this does not produce "zero veocity at infinity" except,
perhaps, wrt the Earth at one point in its orbit.
--
John Mallinckrodt