1. Lunar Orbits and Moon Phases Using geometry, we can calculate which part of the moon is seen at which position. This simulation can be modified to show other aspects of Earth Science that are influenced by Moon Orbits, such as tides, eclipses, ect. Another aspect that could be modeled with this in combination with a variant of Molecular Dynamics is the birth of the moon due to an impactor.

2. cos_theta = (v_sp(1).* v_pm(1) + v_sp(2).* v_pm(2))./ (norm(v_sp).* norm(v_pm)); alpha = [0:2:180]; subplot (2,1,2) if direction_test >= 0 plot(cos_theta*sind(alpha),cosd(alpha),'ro-',- sind(alpha),cosd(alpha),'ro-') axis([-3, 3, -1, 1]) else plot(-cos_theta*sind(alpha),cosd(alpha),'- bo',sind(alpha),cosd(alpha),'bo-') axis([-3, 3, -1, 1]) end

3. Movie