A free trader's drive is only, what, 4-5% efficient? 500 megawatt plant shoving a 2300 metric ton ship around at 1G? Lots and lots of waste heat in the process? Ought to be able to grab some of that waste heat to apply thrust in-atmosphere, keep velocity up where you need it. Just needs an intake and some sort of jet affair applying heat from the reactor to the atmospheric gas passing through, could be part of the existing maneuver drive since these ships spend time in-atmosphere. Striker implies I can achieve 6 to 14 times as much thrust for the same power output if the engine's designed purely for shoving out a working fluid, so designing an engine that diverts a wee bit of waste heat to boost my in-atmosphere thrust enough to give me the needed edge ought to be within reason.
Let's see, I'm really bad at this:
Drag equation's F
d=1/2pv^2C
dA
(I don't know how to do superscripts here)
p (mass density) for earth atmosphere's very roughly 1.2. Let's use that for Jupiter - it's wrong, but I have an idea that this same thing works for getting ships out of terrestrial atmospheres, so I want to use this number for the moment.
C
d (coefficient of drag), let's call it 0.04 for a streamlined ship - and, yes, we can argue about it later.
A (reference area) for a free trader - Wikipedia uses the square of the cube root of the volume for an "airship". For a 2700 cubic meter free trader, that's about 194.
For a velocity of 60 kilometers per second (Jovian escape velocity) I get a F
d of 279,360 kg.m/s^2. Presumably, that's what I'm losing to friction with the atmosphere. That could increase by an order of magnitude depending on what the actual coefficient of drag for a particular ship is. Anything past that and my ship's velocity's increasing.
Now, of course, my thrust goes down as the atmosphere gets thinner, but then friction also goes down as the atmosphere gets thinner. All I have to do is neutralize gravity and establish enough of an upward velocity to get to vacuum in a reasonable time.
My Free Trader maneuver drive's delivering 23 million kg.m/s^2 at 1G, but all of that is countering gravity if I'm battling a 1G field. Still, - and I'm pretty bad at this, so I may have missed something - it looks like I've got plenty of spare power to deliver escape velocity in an atmosphere, especially if my primary drive is cancelling out gravity. If we assume the maneuver drive includes some sort of fusion jet, it doesn't take much to give the ship enough extra push to get away from the planet.
This is the part where you tell me what I got wrong.