Using the ellipse graph.

In polar coordinates (r,t), the equation of an ellipse with one of its foci at the origin is r(t) = a(1 - e2)/(1 - (e)cos(t)) I'm confused how to set this up, as I have never occurred an ellipse graph before. where a is the size of the semi-major axis (along the x-axis) and e is the eccentricity. Plot ellipses using this formula, ensuring that the curves are smooth by selecting an appropriate number of points in the angular (t) coordinate Thank you.

function untitled3

   a = 1/2(b);

   e = 0.5;

   t = linspace(0,2*pi);

   r = a(1 - e.^2)./(1 - (e)*cos(t));

   plot(r,t)

   axis equal

end

Answer 1

[Image Analyst]

You need to define b using a and e, not assume b is already defined like you did.

[John Lutz]

Still does not work, really confused on this.

t = linspace(0,2*pi);

e = 2*pi;

a = 1/2.*(2*pi);

r = (a.*(1 - e.^2) ./ (1 - ((e)*cos(t))));

axis equal

plot(r,t);

also this doesn't work either, tried many times to get this to work but it doesn't.

Answer 2

[Henry Giddens]

Your equation ends up with some negative values - (which I'm not sure can be correct?), but if you are using polar coordinates, then use the polarplot or polar commands:

polarplot(t,abs(r))

Answer 3

[Ali Nafar]

L=0.5;

e=0.5;

phi0=0;

phi=linspace(0,2*pi);

rho=L*(1-e^2)./(1-e*cos(phi-phi0));

polar(phi,rho)