Flemish Posted February 14, 2023 Posted February 14, 2023 This equation is true for a rocket: where, m is mass, v is velocity, g is 9.81, k is constant, u is the velocity at which mass is being ejected and gamma is the rate at which mass is being ejected. I have drawn up two methods, the Euler's method and perturbation theory. I need a third method and can't seem to think of any. All suggests would be great.
sethoflagos Posted February 14, 2023 Posted February 14, 2023 (edited) Have a look at http://star-www.dur.ac.uk/~tt/MSc/Lecture2.pdf It recommends Runge-Kutta for accuracy. Edited February 14, 2023 by sethoflagos
Flemish Posted February 16, 2023 Author Posted February 16, 2023 On 2/14/2023 at 8:31 PM, sethoflagos said: Have a look at http://star-www.dur.ac.uk/~tt/MSc/Lecture2.pdf It recommends Runge-Kutta for accuracy. Do you have any analytical method for this?
sethoflagos Posted February 16, 2023 Posted February 16, 2023 1 hour ago, Flemish said: Do you have any analytical method for this? It's many years since I used these methods. There are many hits for Runge-Kutta on the internet but I've no idea which would be best for you. I think the appropriate form to use is RK4. Maybe others can recommend an appropriate text book. It might help if you indicated your preferred language and level of maths education.
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