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Topic: Making a loop
Replies: 4   Last Post: Jun 10, 2013 1:06 PM

 Messages: [ Previous | Next ]
 Derek Goring Posts: 3,922 Registered: 12/7/04
Re: Making a loop
Posted: Jun 10, 2013 4:56 AM

On Monday, June 10, 2013 8:18:08 PM UTC+12, Dylan wrote:
> I am trying to make a loop that will store the values of theta and r in arrays so I can make a plot using the polar command. It is supposed to be a plot of the orbit of Mercury using initial force. I have used a similar loop to plot projectile motion. Unfortunately I keep receiving this error:
>
>
>
> In an assignment A(I) = B, the number of elements in B and I must be the same.
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>
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> Can anyone give me some advice as what I should do? Here is the code:
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>
>
> m=3.285*10^23;
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> rp=46*10^9;
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> vp=58977;
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> M=1.989*10^30;
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> G=6.67384*10^-11;
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> Frp=m.*M.*G./rp.^2;
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> ptheta=0.1;
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>
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> L=m*rp*vp;
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> v=vp;r(1)=rp;Fr=Frp;theta(1)=ptheta;
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>
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> k=1;dt=.1;
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> while min(theta)> 0
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> Fr=m.*M*G./r^.2;
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> v=v+(-1./m.*Fr+L.^2./(m.^2.*r.^3))*dt;
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>
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> r(k+1)=r(k)+v.*dt;
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> theta(k+1)=theta(k)+L.^2./(m.*r.^2);
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> t(k+1)=t(k)+dt;
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> k=k+1;
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>
>
> end
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>
>
> polar (theta,r)

You are using r as a scalar, whereas it is in fact a vector.
Perhaps it should be r(k)^2?
Or perhaps there should be a summation to reduce r.^2 to a scalar?

Incidentally, this is a very inefficient way of doing things because the vectors r, theta and t are growing inside the loop. This means that every time you increment them they need to be re-written off to core in a contiguous block. If/when k gets large, the loop will slowly grind to a halt and Matlab will eventually crash.
Before the loop, you need to preallocate the vectors:
noit=10000;
r=zeros(noit,1);theta=r;t=r;
then inside the loop you need to break out when the iterations reach the limit:
if k == noit,break,end

Date Subject Author
6/10/13 Dylan
6/10/13 Derek Goring
6/10/13 Dylan
6/10/13 Torsten
6/10/13 Martin