Check the file: Questions.pdf

**Subject Mathematics Numerical Analysis**

Check the file: Questions.pdf

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function main()

clear all

close all %empty variables in memory then close all windows, pictures etc start fresh

options=odeset('RelTol',1e-12,'AbsTol', 1e-12);

time1=8147; %time it takes for earth to do one revolution in seconds

mu=3.986004415*10^5;

r0=[6678.1363, 0, 0];

v0=[0, 7.725760634075587,0];%

[propagatedtime,propagatedposvel] =ode45(@(t,x)twobody(t,x,mu),[0, time1],[r0, v0]',options);

N=length(propagatedtime); %length of the vector propagatedtime

size(propagatedposvel)

plot3(propagatedposvel(:,1),propagatedposvel(:,2),propagatedposvel(:,3))

% we plot the values x,y,z in 3d

hold on

xlabel('x')

ylabel('y')

zlabel('z')

disp('-------Part 3----------')

options=odeset('RelTol',1e-12,'AbsTol', 1e-12);

a=propagatedposvel(N,:) % propagatedposvel is of size N times 6...

clear all

close all %empty variables in memory then close all windows, pictures etc start fresh

options=odeset('RelTol',1e-12,'AbsTol', 1e-12);

time1=8147; %time it takes for earth to do one revolution in seconds

mu=3.986004415*10^5;

r0=[6678.1363, 0, 0];

v0=[0, 7.725760634075587,0];%

[propagatedtime,propagatedposvel] =ode45(@(t,x)twobody(t,x,mu),[0, time1],[r0, v0]',options);

N=length(propagatedtime); %length of the vector propagatedtime

size(propagatedposvel)

plot3(propagatedposvel(:,1),propagatedposvel(:,2),propagatedposvel(:,3))

% we plot the values x,y,z in 3d

hold on

xlabel('x')

ylabel('y')

zlabel('z')

disp('-------Part 3----------')

options=odeset('RelTol',1e-12,'AbsTol', 1e-12);

a=propagatedposvel(N,:) % propagatedposvel is of size N times 6...

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