Plotting cone and hyperbola

I have the equation of hyperbola from the fitted data. I wants to plot that hyperbola with cone to visualise actual emission processes.

Y = 7.46/(x+5.10) -0.86 is the hyperbola fit equation.

Is it possible to plot 3D image of this hyperbola inside a cone?

Your help is appreciated.

Answer 1

[darova]

Here is an example

[T,R] = meshgrid(linspace(0,2*pi,20),0:5);
[X,Y] = pol2cart(T,R);
Z = R;
% Y = 7.46/(x+5.10) -0.86 is the hyperbola fit equation.
Z1 = 7./(R+5);
surf(X,Y,Z)
surface(X,Y,Z1)

[Angira Mahida]

Can I extract properties of fitted cone?How?

How to turn this into two cones, like sand clock?

[darova]

Maybe better be to create sandclock from two parts

[T,Z] = meshgrid(linspace(0,2*pi,20),-3:.1:3);
R = abs(Z);
mid = R < 1;
R(mid) = (1+R(mid))/2;
[X,Y] = pol2cart(T,R);
surf(X,Y,Z)

Experiment to get the result you want

[Angira Mahida]

Does this cone have hyperbola too?

if we would be facing this side of the come, how would I know where the hyperbola is or which part is coverd by the given hyperbola?

Sorry I am super confused. Thank you so much.

[darova]

Can you explain your question? Here is the change i made

Please draw simple sketch or something

[Angira Mahida]

This is the conic model I am observing, So we can see through one of the cone facing towards earth and there is a quantity that follows hyperbolic nature which is coming from inside the cone. So i am trying to plot a cone which has a hyperbola inside it to see what part of the 'see through' is covered by that hyperbola.

Thank you.

[darova]

I don't get what you want

[T,Z] = meshgrid(linspace(0,2*pi,20),-3:.1:3);
R = abs(Z);
mid = R < 1;
R(mid) = sqrt(2-Z(mid).^2);
[X,Y] = pol2cart(T,R);
surf(X,Y,Z)

[Angira Mahida]

Oh No!

i just need a conic section with the hyperbola.

Let me tell you the other way.

A 3D plot like this,

where the equation of the hyperbola is,

and coefficients are, a = 7.45, b= -5.10, c = -0.86.

is it possible?

Thank you :)

[darova]

Doesn't look like cone crossection

x = -5:.2:5;
y = 7.46./(x+5.10) -0.86;
plot(x,y)

[Angira Mahida]

How can we fit a hyperbola in a given data?

That is not in the list of given fit equations in cftool.

also Could this be rectangular hyperbola?