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I want to be able to select a range from within a variable to control the length of the ellipse I'm plotting. I want the range of the variable to be under a certain value. For example, I want to extract the values of x, under -4000 for a variable x = [1000:-2:-5000].

atx = 30000;

Rb = 42164.17;

nu = 157.67;

e = 0.781;

RE = 6378;

Ra = 200 + RE;

theta = linspace(0,2*pi,1000);

theta1 = linspace(0,pi,1000);

xre = RE.*cos(theta);

yre = RE.*sin(theta);

plot(xre,yre,"Color","Black", "LineWidth", 2);

hold on

x2 = Rb.*cos(theta);

y2 = Rb.*sin(theta);

axis("square")

plot(x2,y2,"Color","Black");

hold on;

axis("square")

plot(Rb*cosd(nu),Rb*sind(nu),'rx',"MarkerSize",20, "Color","Black");

hold on;

x3 = atx.*cos(theta1)-atx+Ra;

y3 = atx.*sqrt(1-e^2).*sin(theta1);

x4 = x3(:,1:674);

y4 = y3(:,1:674);

axis("square")

plot(x4,y4,'--',"Color","Blue");

hold on;

My code here is trying to plot an elliptical orbit transfer trajectory between a circular starting and circular final orbit given the transfer ellipse's semi-major axis, I've added a figure to show what I want to achieve. In the code I've added, the number 674 represents when the value of x3> -Rb. This is so that the transfer ellipse does not exceed the outer orbit.

If there is a more efficient way to do this, please let me know!

the cyclist
on 14 May 2021

Take a look at this small example.

First, define a smaller x vector:

x = 1000:-1000:-6000

The variable

x_is_small = (x < -4000)

is a logical variable that is True where x<-4000, and False otherwise.

You can use that variable to index into other variable, such extracting the values of x that are less than -4000:

small_x_values = x(x_is_small)

We could also have just done that without defining the intermediate variable:

x(x<-4000)

I hope that helps.

the cyclist
on 18 May 2021

There's some confusion here. The code x(x < -4000) definitely pulls out the values of x that are less than -4000, regardless of how x was derived.

Here is your code, where instead of selecting the hard-coded value of 674, I set the condition x3 > - Rb.

atx = 30000;

Rb = 42164.17;

nu = 157.67;

e = 0.781;

RE = 6378;

Ra = 200 + RE;

theta = linspace(0,2*pi,1000);

theta1 = linspace(0,pi,1000);

xre = RE.*cos(theta);

yre = RE.*sin(theta);

plot(xre,yre,"Color","Black", "LineWidth", 2);

hold on

x2 = Rb.*cos(theta);

y2 = Rb.*sin(theta);

axis("square")

plot(x2,y2,"Color","Black");

hold on;

axis("square")

plot(Rb*cosd(nu),Rb*sind(nu),'rx',"MarkerSize",20, "Color","Black");

hold on;

x3 = atx.*cos(theta1)-atx+Ra;

y3 = atx.*sqrt(1-e^2).*sin(theta1);

x4 = x3(:,x3 > -Rb); % I changed this code to remove hard-coded 674

y4 = y3(:,x3 > -Rb); % I changed this code to remove hard-coded 674

axis("square")

plot(x4,y4,'--',"Color","Blue");

hold on;

The dashed line extends beyond the outer circle. It seems that the condition x3 < -Rb does not make a transition at the 674th element. Here is a plot of x3, with a horizontal line at -Rb.

figure

plot(x3)

yline(-Rb)

So, I'm not quite sure what is going wrong -- but the code I gave you for selecting a certain range of x3 is working as I would expect.

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