At the start, the connecting line slopes backward to Earth.
On the second circuit, it slopes forward.
This creates an interesting interference pattern.
The later circuits obscure the pattern rather than improve it.
Stop the drawing after two Earth orbits to optimise appearance.
The Earth's angle aE starts at -PI/2
The Earth's angle aE ends at 3*PI + PI/2
From -PI/2 to 3PI + PI/2
is a total amount of turning of 4*PI
4*PI is equivalent to two complete turns