How to plot recursive function/how to avoid infinite recursion?

Hey there

Im trying to plot the following equation

a(n+1)=a(n)+b(n+1)*0.0215

where

b(n+1)=b(n)+(9.81/0.94)*sin(a(n))*0.0215

a(0)=65

b(0)=0

Is it possible to plot the first line as a graph in Matlab, untill a reaches reaches 65 again (should be a U shaped curve)?

I've tried a few things but the error message tells me there is an infinite recursion.

Any help is greatly appriciated.

[Dyuman Joshi]

"I've tried a few things but the error message tells me there is an infinite recursion."

Please share your code you have written yet.

Answer 1

[Florian Bidaud]

a(1) = 65;
b(1)= 0;
i = 1;
while a(i)>a(1) || i==1
    b(i+1) = b(i) + 9.81/0.94*sin(a(i))*0.0215;
    a(i+1) = a(i) + 0.0215*b(i+1);
    i = i+1;
end

plot(a)

[Studentguy]

Thank you so much!

[Florian Bidaud]

You're welcome ! Please accept the answer if you're happy with it :)