Pseudo coding a function help

I have a code that i need to pseudo code and i am not fully understanding the script can someone please explain what the script is doing exactly.

Grav=6.67408*10^-11;
Mass=5.9722*10^24;
sat_mass=1000;
dt=10;

r(1,:)=[8*10^6,0,0];
r0=[8*10^6,0,0];
v(1,:)=[0, sqrt(Grav*Mass/norm(r0,2)),0];
for i=2:10000
    a(i,:)=(-Grav*Mass)/norm(r(i-1,:),2)^2*r(i-1,:)/norm(r(i-1,:),2);
    v(i,:)=v(i-1,:)+a(i-1,:)*dt;
    r(i,:)=r(i-1,:)+v(i-1,:)*dt;
end
plot(r(:,1),r(:,2))

[Siyu Guo]

Sort of plotting the locus of a man-made satellite around the Earth.

[Abdullaziz Errayes]

yeah i thought that too but i cant just say plotting locus of a satellite around the earth in the code haha

[Siyu Guo]

The code should be quite clear. r stands for the 3D coordinates of the sat, v its velocity vector, and a its acceleration vector. A straightforward Euler method to solve the Newtonian equation (an ODE).

Answer 1

[Jan]

1. Some parameters are defined
2. The start point is set to r0 and the initial velocity to v(1,:)
3. A loop runs over 10000 time steps
4. Inside the loop, the current acceleration a is calculated by the law of gravity
5. The acceleration multiplied by a time step changes the current velocity
6. The current velocity multiplied by a time step changes the current position
7. Next iteration of the loop
8. Plot the trajectory

"not fully understanding the script" is not useful as a question in the forum. Should we explain "sat_mass=1000;" also?! Prefer to ask a specific question.

By the way, isn't it suspicious that sat_mass is defined, but not used anywhere?

Maybe I've solved your homework now. This would be a pity. But you are working with Matlab for at least 1.5 years now, so you should be familiar with the basics.