Thanks again! You are right in that I too missed the k^2 in the denominator (amongst other typos)
I will recheck everything and formally derive the solution which I will post.
Cheers,
-Sharat
JJacquelin,
Many thanks again for your help. Could you kindly review the attached where I've re-derived the last step (I think you had a k in the coefficient of df/dT in your last equation that should not be there) and compared it to a transformed version of Bessel's Differential Equation from...
Thanks! This looks neat. But what about the initial conditions for f and f'?
I could of course solve the 2nd order linear ODE and substitute f and f' back into the expression for V, but I'll have two constants and only one initial condition.
Or do I apply the condition (f'=0 at T=0 which...
The equation of motion of a rocket with mass depletion during ascent and subject to drag forces can be written as
M(t) dV/dt = A - M(t)g - BV^2 (Eq. 1)
with initial condition V(t=0) = 0 (V is velocity and t is time)
Let us assume a linear mass depletion according to...