Flemish Posted February 14, 2023 Share 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. Link to comment Share on other sites More sharing options...
sethoflagos Posted February 14, 2023 Share 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 Link to comment Share on other sites More sharing options...
Flemish Posted February 16, 2023 Author Share 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? Link to comment Share on other sites More sharing options...
sethoflagos Posted February 16, 2023 Share 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. Link to comment Share on other sites More sharing options...
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now