first of all, thanx
second of all by complex i meant, it was complex method (tedious)
i already tried separation of variables ages ago and got a solution but i can't use that in the physical process I am applying it to because of certain limits to the solution.
im looking at more of an...
well... the type of engine is chemical rocket/electrical/ion... that is i can use them all or just one of them or any two of them... its basically multistage and its powered flight. so u have thrust coming in the force equation and its no longer conic, angular momentum is also not conserved!
i tried separation of vriables, but the solution is a complex one and since i apply to a real physical process, some results are not meaningful... as for laplace transform in time, cud u help me with that.
i want to know if integral methods, similarity solutions can be applied
im looking for an exact analytical solution for the following
(1/alpha) * dT/dt = d2T/dr2 + (1/r)*dT/dr
where d is actually dou(partial diff.)
subject to the boundary conditions,
a<=r<=infinity
t>=0
T=Ts (constant) at t=0;
-dT/dr + HT = H(Tf) at r=a; where H, Tf are...
lemme start of by saying hi...
i came across this forum on a search in google and found it nice...
i got a nice problem that i cud use help on
we all know the ususal orbital mechanics of the conic sections. this type of orbit occurs only in unpowered flight (where u don't use any...