Maybe this has been glaringly obvious to everyone else, but yaknow, it really just dawned on me...
Heiwa's whole claim with regards to the LOI burn is that - with no experimental data, real world experience, or even a computer model to point to - he FEELS THAT you can't get that much change of velocity with that amount of fuel. That's just personal incredulity.
Not quite. He's misapplying kinetic energy (by redefining the boundaries of the system) and hence getting a nonsensical result. Specifically, he claims that the equation [jstex]\frac{1}{2}m_i v_i^2 - \frac{1}{2}m_f v_f^2 = e[/jstex]is true, where e is the enthalpy of combustion for the fuel and mi is the mass of the spacecraft before the burn including fuel, and mf is the mass of the spacecraft after the burn excluding expended fuel. Of course this won't conserve KE, and of course he gets nonsense results.
You, and I and most everyone else in this forum know his results are nonsense, and we know why - he didn't do the KE calculation correctly.
But how does
he know it's nonsense? About the actual mass of fuel used, on his website he states:
I would expect that about at least 8 times (!) more fuel/energy had to be used to slow down the heavy - 32.7 ton - space ship.
My point is, from where did he get that expectation? Typically, when someone gets an answer to a calculation that seems wrong, they go back over their calculations to see where they made a mistake, or they check the answer by using a different calculation method, or they get someone else to check their figures.
There's no indication that Heiwa has done
any of these. Having no expertise in astronautics, he just "feels" that the number he got is too high. His calculation method was wrong, of course, but whether his result is right or wrong is almost irrelevant. It's only his personal incredulity that tells him it "can't" be right - he could just as easily be saying the same thing if he had done the calculation correctly.
I think that definitely fits squarely in the category of "not even wrong".