Small Satellites

Home » Space Flight/Orbital Mechanics » Circular orbital speed and period as a function of altitude for LEO

Circular orbital speed and period as a function of altitude for LEO

mu = 398600; % Earth’s gravitational parameter [km^3/s^2]

R_earth = 6378;        % Earth radius [km]

% Plot the speed and period of a satellite in circular LEO as a function
% of altitude
% Low Earth orbit(LEO)
h = 160:1:2000;          %[km]
v = (mu./(R_earth+h)).^0.5;         %[km/s]
T = 2*pi*(R_earth+h).^1.5/mu^0.5;    %[s]
T = T/60;                           %[min]
% Plots
figure(1);
hold on;grid on;
plot(h,v);
xlabel('Altitude [km]');
ylabel('Speed [km/s]');
title('Circular orbital speed as a function of altitude,LEO');
figure(2);
hold on;grid on;
plot(h,T);
xlabel('Altitude [km]');
ylabel('Period [min]');
title('Circular orbital period as a function of altitude,LEO');

Period_Speed_Altitude_01 Period_Speed_Altitude_02

 

Advertisements

2 Comments

  1. J says:

    Why is h = 160:1:2000; can we not enter a single h value, eg the height is 200km for example? what do the extra terms mean?

    • smallsat says:

      Sorry for a late replay. Lately I was quite busy with other projects and did not get much time to contribute.
      Yes of course you can enter a single vale. If you simply put h = 200 it shall give you the answer. you can delate plotiing and extras as you do not need it. hope it helps !

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Recent Post

%d bloggers like this: