[alexander_busek]

"Orbiting around the second-biggest planet in the solar system is relatively easy. Transferring orbits to its largest moon is much more difficult. Solving that problem requires tackling the three-body problem, a notoriously difficult orbital mechanics problem that involves solving the orbits of three different orbital bodies (i.e., the spacecraft, Saturn and Titan)."

The Three-Body Problem pertains to three bodies - all of which have appreciable mass (i.e., enough mass to gravitationally affect the other two bodies). Not even the International Space Station (weighing in at 420 metric tons) is anywhere close to massive enough to have any non-negligible effect upon either the Earth or the Moon.

Regards,

[takebackaustin]

Exactly alexander! Your comment is great. Furthermore for the forum:

It is roughly a doubly restricted 3 body problem.

mass of Saturn >> mass of moon >> mass of spacecraft

But it isnt that either. You have the sun and the other moons and avoiding the rings to consider if you are taking second or third order influences into account.

These things are done numerically.