The
object of this gravity simulation started out purely to demonstrate
the delicacy of Saturn's curious rings and moons, generally.

But then I discovered the incredible nature of the orbits of
Epimetheus and Janus. They have a very tricky orbital dynamic
to describe with words, the easiest explanation being that they
form a *horseshoe orbit*. Their orbits are so close to
each other that the two moons actually switch orbits instead
of colliding.

The masses of the moons cause their own gravity dynamic to behave
thus, and if they had much less mass, they would not perform
this celestial dance. But there was some discrepency as to how
close they get to each other. Their orbital distance from Saturn
differs by only **50** km.

That is the distance from each of these two moons, to Saturn,
differs by only **50** km. But they are both well
over **50** km in size!

However, they never get closer than either **10**
thousand or **15** thousand km, due to their own
gravitational forces affecting one another.

This sounded absurd, So I redirected this algorithm away from
trying to figure out the dynamics of Saturns rings, and instead
focussed it on this pair of curious moons.

It was a joy to see the orbits behave in my Newtonian-Planck
evolutionary algorithm, just as observed. The only noticeable
difference was that discrepency of:

**10 000** km or **15 000** km before
they switch orbital places.

What I was able to prove was that with given masses:

**1.98 x 10^18** kg ... Janus

**5.5 x 10^17** kg ... Epimetheus

the pair came within **10668** km of each other:
[Scenario **2**],

but if I add **60**% mass to each of them,

then they were within **15614** km of each other:
[Scenario **3**].